Publications

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For information regarding GMIG membership, please contact:
Barbara Doremire
Department of Mathematics
Purdue University
150 N. University Street
West Lafayette, IN 47907
Phone: 765-496-7678
bjd@purdue.edu

2014 Publications

2013

GMIG Report 13-20:  'Particle swarms in variable aperture fractures',  E.R. Boomsma and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 303-311 View

'Particle swarms in smooth-walled fractures' , American Geophysical Union Monograph Series (2014)  in print   with E.R. Boomsma and L.J. Pyrak-Nolte, View

GMIG Report 13-19:  'Interface waves along fractures in transversely isotropic media',  S. Shao and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 291-302 View

'Interface waves along fractures in anisotropic media' , Geophysics  78 (2013)  pp. T99-T112,  doi:10.1190/geo2012-0464,  with S. Shao and L.J. Pyrak-Nolte, View

GMIG Report 13-18:  'Dispersive waves propagating along a surface fracture',  B.C. Abell and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 281-289 View

'Coupled wedge waves' , Journal of the Acoustical Society of America  134 (2013)  pp. 3551-3560,  with B.C. Abell and L.J. Pyrak-Nolte, View

GMIG Report 13-17:  'Scaling of fluid flow versus fracture stiffness',  C.L. Petrovitch, L.J. Pyrak-Nolte and D.D. Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 273-279 View

'Scaling of fluid flow versus fracture stiffness' , Geophysical Research Letters  40 (2013)  pp. 2076-2080,  with C.L. Petrovitch, L.J. Pyrak-Nolte and D.D. Nolte, View

GMIG Report 13-16:  'Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves, Part I: recovery of the density',  E. Beretta, M.V. de Hoop and L. Qiu,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 263-272 View

GMIG Report 13-15:  'Iterative reconstruction of piecewise smooth wave speeds using a criterion derived from the scattering relation',  R. Ye and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 247-262 View

GMIG Report 13-14:  'Adaptive domain partitioning and deformation in representations for the wavespeed using unstructured meshes in full waveform inversion',  Z. Guo and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 227-246 View

GMIG Report 13-13:  'Multi-level, multi-frequency, compressed full waveform inversion',  F. Faucher, M.V. de Hoop, H. Calandra, L. Qiu and C. Rivera,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 205-225 View

GMIG Report 13-12:  'Inverse boundary value problem for the Helmholtz equation with multi-frequency data',  E. Beretta, M.V. de Hoop, L. Qiu and O. Scherzer,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 185-203 View

'Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction' (2014)   with E. Beretta, O. Scherzer and L. Qiu View

GMIG Report 13-11:  'Matrix-free sparse direct solvers',  J. Xia,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 171-183 View

GMIG Report 13-10:  'Superfast algorithm for computing arbitrary entries of the inverse of a sparse matrix with application to the Hessian in time-harmonic FWI',  X. Liu, J. Xia, Y. Xi and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 157-169 View

GMIG Report 13-9:  'Superfast structured selected inversion for large sparse matrices',  J. Xia, Y. Xi, S. Cauley and V. Balakrishnan,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 139-156 View

GMIG Report 13-8:  'Nonsymmetric structured multifrontal methods for sparse matrices with application to solving the Helmholtz equation',  Z. Xin, J. Xia, M.V. de Hoop, S. Cauley and V. Balakrishnan,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 131-138 View

GMIG Report 13-7:  'A discontinuous Galerkin method for the anisotropic elastic wave equation',  R. Ye, C.L. Petrovitch, M.V. de Hoop, L.J. Pyrak-Nolte and Y. Situ,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 103-130 View

GMIG Report 13-6:  'A discontinuous Galerkin method for modeling marine controlled source electromagnetic data',  T. Wiik, M.V. de Hoop and B. Ursin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 75-102 View

'A Discontinuous Galerkin method for modelling marine controlled source electromagnetic data' (2013)   with T. Wiik and B. Ursin

GMIG Report 13-5:  'Fast inversion of the exponential Radon transform by using fast Laplace transforms',  F. Andersson and V. Nikitin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 65-73 View

GMIG Report 13-4:  'Linearization and microlocal analysis of reflection tomography',  M.V. de Hoop and S.F. Holman,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 47-64 View

'Multi-scale reverse-time-migration type imaging using the dyadic parabolic decomposition of phase space' (2013)   with F. Andersson and H. Wendt View

GMIG Report 13-3:  'Algorithms for unequally spaced fast Laplace transforms',  F. Andersson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 37-46 View

'Algorithms for unequally spaced fast laplace transforms' , Applied and Computational Harmonic Analysis  35 , 3 (2013)  pp. 419-432,  with F. Andersson View

GMIG Report 13-2:  'Exact and approximate expansions with pure Gaussian wave packets',  M.V. de Hoop, K. Gröchenig and J.L. Romero,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 17-35 View

'Exact and approximate expansions with pure Gaussian wave packets' , SIAM Journal on Mathematical Analysis  46 , 3 (2014)  in print  pp. 2229-2253,  with M.V. de Hoop, K. Gröchenig and J.L. Romero, View

GMIG Report 13-1:  'A variational formulation for interpolation of seismic traces with derivative information',  F. Andersson and J. Wittsten,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2013)  pp. 1-16 View

2012

GMIG Report 12-17:  'On time-harmonic seismic data and blending in full waveform inversion',  S. Park, L. Qiu, M.V. de Hoop and C. Shin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 305-318 View

GMIG Report 12-16:  'From laboratory to field-critical scaling of single fractures',  C.L. Petrovitch, L.J. Pyrak-Nolte and D.D. Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 295-304 View

'Combined scaling of fluid flow and seismic stiffness in single fracture' , Rock mechanics and rock engineering  47 , 5 (2014)  pp. 1613-1623,  with C.L. Petrovitch, L.J. Pyrak-Nolte and D.D. Nolte, View

GMIG Report 12-15:  'Shear specific stiffness of fractures and fracture intersections',  B.C. Abell, M. Choi and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 285-294 View

'Shear specific stiffness of fractures and fracture intersections' , Conference paper, 46th U.S. Rock Mechanics/Geomechanics Symposium, 24-27 June, Chicago, Illinois (2012)   with B.C. Abell, M. Choi and L.J. Pyrak-Nolte, View

GMIG Report 12-14:  'Interface waves along fractures in anisotropic media',  S. Shao, B.C. Abell and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 275-284 View

'Interface waves along fractures in anisotropic media' , Geophysics  78 , 4 (2012)  pp. T99-T112,  with S. Shao, B.C. Abell and L.J. Pyrak-Nolte, View

GMIG Report 12-xx:  'Diffraction from conormal singularities',  M.V. de Hoop, G. Uhlmann and A. Vasy,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 231-274 View

'Diffraction from conormal singularities' , Annales Scientifiques de l'ENS (2014)  in print   with M.V. de Hoop, G. Uhlmann and A. Vasy, View

GMIG Report 12-13:  'Enhanced and specular backscattering in random media',  M.V. de Hoop, J. Garnier and K. Sølna,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 209-230 View

'Enhanced and specular backscattering in random media' , Waves in Random and Complex Media  22 , 4 (2012)  pp. 505-530,  with M.V. de Hoop, J. Garnier and K. Sølna, View

GMIG Report 12-12:  'Shape optimization in full waveform inversion with sparse blocky model representations',  Z. Guo and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 189-208 View

GMIG Report 12-11:  'A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints',  M.V. de Hoop, O. Scherzer and L. Qiu,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 173-188 View

'An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints' , Numerische Mathematik (2014)  in Print   with M.V. de Hoop, O. Scherzer and L. Qiu, View

GMIG Report 12-10:  'Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation',  E. Beretta, M.V. de Hoop and L. Qiu,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 155-172 View

'Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation' , SIAM Journal on Mathematical Analysis  45 , 2 (2013)  pp. 679-699,  with E. Beretta, M.V. de Hoop and L. Qiu, View

GMIG Report 12-09:  'Teleseismic wave-equation reflection tomography using free surface reflected phases',  S. Burdick, M.V. de Hoop, S. Wang and R.D. van der Hilst,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 133-154  View

'Reverse-time migration-based reflection tomography using teleseismic free surface multiples' , Geophysical Journal International  196 (2013)  pp. 996-1017,  with S. Burdick, M.V. de Hoop, S. Wang and R.D. van der Hilst, View

GMIG Report 12-08:  'Fast structured eigensolver for discretized partial differential operators on general meshes',  J. Xia, Y. Xi and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 123-132 View

GMIG Report 12-07:  'Massively parallel structured multifrontal solver for time-harmonic elastic waves in 3D anisotropic media',  S. Wang, M.V. de Hoop, J. Xia and X.S. Li,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 97-122 View

'Massively parallel structured multifrontal solver for time-harmonic elastic waves in 3D anisotropic media' , Geophysical Journal  191 (2012)  pp. 346-366,  with S. Wang, M.V. de Hoop, J. Xia and X.S. Li, View

GMIG Report 12-06:  'MFRS: An algorithm for the structured multifrontal solution of large sparse matrices via randomized sampling',  S. Wang, J. Xia, M.V. de Hoop and X.S. Li,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 81-96 View

GMIG Report 12-05:  'Reconstruction of the metric of a Riemannian manifold from local boundary diffraction travel times II. A Dix-type algorithm',  M.V. de Hoop, S.F. Holman, E. Iversen, M. Lassas and B. Ursin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 69-80 View

'Reconstruction of a conformally Euclidean metric metric from local boundary diffraction travel times' , SIAM Journal of Mathematical Analysis (2014)  in print   with S.F. Holman, M.V. de Hoop, E. Iversen, M. Lassas and B. Ursin, View

GMIG Report 12-04:  'Multi-scale reverse-time-migration based inverse scattering using the dyadic parabolic decomposition of phase space',  F. Andersson, M.V. de Hoop and H. Wendt,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 49-68 View

'Surface-wave tomography via reconstruction of bicharacteristics and geometrical regularization in the presence of azimuthal anisotropy'  with M.V. de Hoop, H. Huang, Y. Li, Q. Liu, H. Yao. and R.D. van der Hilst,

GMIG Report 12-03:  'Up-down decoupling and paraxial wave equation estimates',  M.V. de Hoop and S.F. Holman,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 29-48 View

GMIG Report 12-02:  'Time extended structure tensors for multiple directionality estimation',  F. Andersson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 13-28 View

GMIG Report 12-01:  'Frequency extrapolation through sparse sums of Lorentzians',  F. Andersson, M. Carlsson and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2012)  pp. 1-12 View

'Frequency extrapolation through Sparse sums of Lorentzians' , Journal of Earth Science  25 , 1 (2014)  pp. 117-125,  with F. Andersson, M. Carlsson and M.V. de Hoop, View

2011

GMIG Report 11-16:  'Elastic films and reversibility in a microfluidic pore',  Y. Liu, D. Nolte and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 267-274 View

GMIG Report 11-15:  'The effect of saturation on shear wave anisotropy in a transversely isotropic medium',  W. Li, C.L. Petrovitch and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 253-266 View

'The Effect of Saturation on Shear Wave Anisotropy in a Transversely Isotropic Medium' , American Geophysical Union, Fall Meeting 2010 Abstract #S22A-03 (2010)   with W. Li, C.L. Petrovitch and L.J. Pyrak-Nolte, View

GMIG Report 11-14:  'Modeling of seismic wave scattering from rough fracture surfaces',  C.L. Petrovitch, L.J. Pyrak-Nolte and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2011)  pp. 243-252 View

GMIG Report 11-13:  'Retrieval of a Green's function with reflections from partly incoherent waves generated by a wave packet using cross-correlations',  M.V. de Hoop, J. Garnier, S.F. Holman and K. Sølna,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2011)  pp. 221-242 View

'Retrieval of a Green's function with reflections from partly incoherent waves generated by a wave packet using cross-correlations' , SIAM Journal on Applied Mathematics  73 , 1 (2013)  pp. 493-522,  with M.V. de Hoop, J. Garnier, S.F. Holman and K. Sølna, View

GMIG Report 11-12:  'Local inverse problems: Hölder stability and iterative reconstruction',  M.V. de Hoop, L. Qiu and O. Scherzer,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 203-220 View

'Local analysis of inverse problems: Hölder stability and iterative reconstruction' , Inverse Problems  28 , 4 (2012)   doi:10.1088/0266-5611/28/4/045001,  with M.V. de Hoop, L. Qiu and O. Scherzer, View

GMIG Report 11-11:  'Decoupling of modes for the elastic wave equation in media of limited smoothness',  V. Brytik, M.V. de Hoop, H. Smith and G. Uhlmann,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 193-202 View

'Decoupling of modes for the elastic wave equation in media of limited smoothness' , Communications in Partial Differential Equations  36 , 10 (2011)  pp. 1683-1693,  with V. Brytik, M.V. de Hoop, H. Smith and G. Uhlmann, View

GMIG Report 11-10:  'Anisotropic 'Helmholtz' equations: Massively parallel structured multifrontal solver using nested dissection based domain decomposition with separators of variable thickness',  S. Wang, J. Xia, M.V. de Hoop and X. Li,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 175-191 View

'Massively parallel structured direct solver for equations describing time-harmonic qP-polarized waves in TTI media' , Geophysics  77 , 3 (2012)  pp. T69-T82,  with S. Wang, J. Xia, M.V. de Hoop and X. Li, View

GMIG Report 11-09:  'Efficient parallel algorithms for hierarchically semiseparable matrices',  S. Wang, X. Li, J. Xia, Y. Situ and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2011)  pp. 159-174 View

'Efficient scalable algorithms for solving dense linear systems with hierarchically semiseparable structure' , SIAM Journal on Scientific Computing  35 , 6 (2013)  pp. C519-C544,  with S. Wang, X. Li, J. Xia, Y. Situ and M.V. de Hoop, View

GMIG Report 11-08:  'Regularity in, and multi-scale discretization of the solution construction of hyperbolic evolution equations of limited smoothness',  M.V. de Hoop, S.F. Holman, H.F. Smith and G. Uhlmann,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 131-158 View

'Regularity in, and multi-scale discretization of the solution construction of hyperbolic evolution equations of limited smoothness' , Applied and Computational Harmonic Analysis  33 , 3 (2012)  pp. 330-353,  with M.V. de Hoop, S.F. Holman, H.F. Smith and G. Uhlmann, View

GMIG Report 11-07:  'Fourier integral operator canonical computation with wave packets',  H. Wendt, M.V. de Hoop, G. Uhlmann and A. Vasy,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 113-130 View

'Multi-scale discrete approximation of Fourier Integral Operators associated with canonical transformations and caustics' , Multiscale Modelling and Simulation  11 (2013)  pp. 566-585,  with M.V. de Hoop, G. Uhlmann, A. Vasy and H. Wendt, View

GMIG Report 11-06:  'Reconstruction of the metric of a Riemannian manifold from local boundary diffraction travel times',  M.V. de Hoop, E. Iversen, M. Lassas and B. Ursin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 95-112 View

'Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times ' , Journal de Mathématiques Pures et Appliquées (2014)  in print   with S.F. Holman, M.V. de Hoop, E. Iversen, M. Lassas and B. Ursin, View

GMIG Report 11-05:  'Kinematic time migration and demigration of reflections in pre-stack seismic data',  E. Iversen, M. Tygel, B. Ursin and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 65-94 View

'Kinematic time migration and demigration of reflections in pre-stack seismic data' , Geophysical Journal International  189 , 3 (2012)  pp. 1635-1666,  with E. Iversen, M. Tygel, B. Ursin and M.V. de Hoop, View

GMIG Report 11-04:  'Geometric segmentation using Gaussian wave packets',  F. Andersson and P. Strandmark,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2011)  pp. 57-64 View

GMIG Report 11-03:  'Alternating projections on low-dimensional manifolds',  F. Andersson and M. Carlsson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2011)  pp. 37-56 View

'Alternating projections on nontangential manifolds' , Constructive Approximation  38 , 3 (2013)  pp. 489-525,  with F. Andersson and M. Carlsson, View

GMIG Report 11-02:  'A fast alternating projection method for complex frequency estimation',  F. Andersson and M. Carlsson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  pp. 21-36 View

GMIG Report 11-01:  'Data analysis tools for uncertainty quantification of inverse problems',  L. Tenorio, F. Andersson, M.V. de Hoop and P. Ma,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2011)  View

'Data analysis tools for uncertainty quantification of inverse problems' , Inverse Problems  27 , 4 (2011)   doi:10.1088/0266-5611/27/4/045001,  with L. Tenorio, F. Andersson, M.V. de Hoop and P. Ma, View

2010

GMIG Report 10-15:  'A discontinuous Galerkin method for modeling marine controlled source electromagnetic data',  T. Wiik, M.V. de Hoop, and B. Ursin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2010)  pp. 233-249 View

GMIG Report 10-14:  'Particle swarms in smooth-walled fractures',  L.J. Pyrak-Nolte and M.K. Olander,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2010)  pp. 221-232 View

GMIG Report 10-13:  'Seismic wave propagation in fractured carbonate rock',  W. Li, C.L. Petrovitch and L.J. Pyrak-Nolte  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 211-220 View

'Seismic wave propagation in fractured carbonate rock' , American Rock Mechanics Association  43rd US Rock Mechanics Symposium & 4th US Canada Rock Mechanics Symposium, 28 June-1 July, Asheville, North Carolina (2009)   with W. Li, C.L. Petrovitch and L.J. Pyrak-Nolte, View

GMIG Report 10-12:  'The effect of initial contact area on the mechanical and hydraulic properties of single fractures',  C.L. Petrovitch, L.J. Pyrak-Nolte and D.D. Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2010)  pp. 201-210 View

GMIG Report 10-11:  'Recursive imaging with multiply scattered waves using partial-image regularization: A North Sea case study',  A.E. Malcolm, M.V. de Hoop and B. Ursin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2010)  pp. 187-200 View

'Recursive imaging with multiply scattered waves using partial-image regularization: A North Sea case study' , Geophysics  76 , 2 (2011)  pp. B33-B42,  with A.E. Malcolm, M.V. de Hoop and B. Ursin, View

GMIG Report 10-10:  'Modelling of time-harmonic seismic data with the Helmholtz equation and scattering series',  L. Qiu, M.V. de Hoop and A.S. Sá Barreto,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 169-186 View

GMIG Report 10-09:  'Elastic-wave inverse scattering with active and passive source reflection data',  V. Brytik, M.V. de Hoop and R.D. van der Hilst,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 145-168 View

'Elastic-wave inverse scattering based on reverse time migration with active and passive source reflection data' , Inside Out II, Inverse Problems and Applications, Mathematical Sciences Research Institute Publications, edited by G. Uhlmann, Cambridge University Press, Cambridge  60 (2013)  pp. 411-453,  with V. Brytik, M.V. de Hoop and R.D. van der Hilst, View

GMIG Report 10-08:  'An interpretation of CRS attributes of time-migrated reflections',  M. Tygel, B. Ursin, E. Iversen and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 135-144 View

'Estimation of geological dip and curvature from time-migrated zero-offset reflections in heterogeneous anisotropic media' , Geophysical Prospecting  60 , 2 (2011)  pp. 201-216,  with M. Tygel, B. Ursin, E. Iversen and M.V. de Hoop, View

GMIG Report 10-07:  'Multi-scale discrete approximation of Fourier Integral Operators',  F. Andersson, M.V. de Hoop and H. Wendt,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 93-133 View

'Multi-scale discrete approximation of Fourier integral operators,' , Multiscale Modeling and Simulation  10 (2012)  pp. 111-145,  with F. Andersson, M.V. de Hoop and H. Wendt, View

GMIG Report 10-06:  '3D seismic imaging via a massively parallel structured approximate direct Helmholtz solver',  S. Wang, M.V. de Hoop and J. Xia,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 69-91 View

'On 3D modeling of seismic wave propagation via a structured massively parallel multifrontal direct Helmholtz solver' , Geophysical Prospecting  59 , 5 (2011)  pp. 857-873,  with S. Wang, M.V. de Hoop and J. Xia, View

GMIG Report 10-05:  'Seismic interferometry and estimation of the Green's function using Gaussian beams',  R.L. Nowack,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 61-68 View

'Seismic interferometry and estimation of the Green's function using Gaussian beams' , Earthquake Science  23 , 5 (2010)  pp. 417-424,  with R.L. Nowack, View

GMIG Report 10-04:  'The Gouy phase anomaly for harmonic and time-domain Gaussian beams',  R.L. Nowack and S.M. Kainkaryam,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 51-60 View

'The Gouy phase anomaly for harmonic and time-domain paraxial Gaussian beams' , Geophysical Journal International  184 , 2 (2011)  pp. 965-973,  with R.L. Nowack and S.M. Kainkaryam, View

GMIG Report 10-03:  'On the representation of functions with Gaussian wave packets',  F. Anderson, M. Carlsson and L. Tenorio,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 25-50 View

'On the representation of functions with Gaussian wave packets' , Journal of Fourier Analysis and Applications  18 , 1 (2012)  pp. 146-181,  with F. Anderson, M. Carlsson and L. Tenorio, View

GMIG Report 10-02:  'On truncated Wiener-Hopf operators and BMO (Z)',  M. Carlsson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2010)  pp. 9-24 View

'On truncated Wiener-Hopf operators and BMO (Z)' , Proceedings of the American Mathematical Society  139 (2010)  pp. 1717-1733,  with M. Carlsson, View

GMIG Report 10-01:  'A complete AAK-theorem for weighted sequence spaces',  M. Carlsson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2010)  pp. 1-8 View

2009

GMIG Report 09-12:  'Seismic wave propagation across in-filled fractures',  A.A. Acosta-Colon, M.K. Olander and L.J. Pyrak-Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 193-204 View

GMIG Report 09-11:  'Scaling of displacement and fluid flow in single fractures',  C.L. Petrovitch, L.J. Pyrak-Nolte and D.D. Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 181-192 View

GMIG Report 09-10:  'Construction of empirical Green's functions from direct waves, coda waves, and ambient noise in SE Tibet',  H. Yao, X. Campman, M.V. de Hoop and R.D. van der Hilst,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 165-180 View

'Estimation of surface wave Green's functions from correlation of direct waves, coda waves, and ambient noise in SE Tibet' , Physics of Earth and Planetary Interiors  177 , 1-2 (2009)  pp. 1-11,  with H. Yao, X. Campman, M.V. de Hoop and R.D. van der Hilst, View

GMIG Report 09-09:  'Migration velocity analysis using wave packets - geometric approach',  A.A. Duchkov, M.V. de Hoop and F. Andersson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 157-164 View

'Migration velocity analysis using wave packets - geometric approach' , SEG Expanded Abstracts  28 (2009)  pp. 3999-4003,  with A.A. Duchkov, M.V. de Hoop and F. Andersson, View

GMIG Report 09-08:  'Kinematics of shot-geophone migration and Riemannian annihilators',  C.C. Stolk, M.V. de Hoop and W.W. Symes,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 133-155 View

'Kinematics of shot-geophone migration' , Geophysics  74 , 6 (2009)  pp. WCA19-WCA34,  with C.C. Stolk, M.V. de Hoop and W.W. Symes, View

GMIG Report 09-07:  'Acoustic inverse scattering via Helmholtz operator factorization and optimization',  S. Wang, M.V. De Hoop and J. Xia,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 109-132 View

'Acoustic inverse scattering via Helmholtz operator factorization and optimization' , Journal of Computational Physics  229 , 22 (2010)  pp. 8445-8462,  with S. Wang, M.V. De Hoop and J. Xia, View

GMIG Report 09-06:  'Linearized inverse scattering based on seismic Reverse-Time Migration',  T.J.P.M. Op't Root, C.C. Stolk and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 91-108 View

'Linearized inverse scattering based on seismic reverse-time migration' , Journal de Mathématiques Pures et Appliquées  98 , 2 (2012)  pp. 211-238,  with T.J.P.M. Op't Root, C.C. Stolk and M.V. de Hoop,  View

GMIG Report 09-05:  'Illumination analysis of wave-equation imaging with curvelets',  S. Wang, M.V. de Hoop and B. Ursin,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 71-90 View

'Illumination analysis of wave-equation imaging with curvelets' , Inverse Problems  26 , 11 (2010)   doi:10.1029/2007WR006434,  with S. Wang, M.V. de Hoop and B. Ursin, View

GMIG Report 09-04:  'Dynamically focused Gaussian beams for seismic imaging',  R.L. Nowack,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 59-70 View

'Dynamically focused Gaussian beams for seismic imaging' , International Journal of Geophysics  2011 (2011)   http://dx.doi.org/10.1155/2011/316581,  with R.L. Nowack, View

GMIG Report 09-03:  'A tale of two beams: Gaussian beams and Bessel beams',  R.L. Nowack,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2009)  pp. 49-58 View

'A tale of two beams: Gaussian beams and Bessel beams' , Studia Geophysica et Geodaetica  56 , 2 (2012)  pp. 355-372,  with R.L. Nowack, View

GMIG Report 09-02:  'AAK-Theory on weighted spaces',  M. Carlsson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2009)  pp. 27-48 View

GMIG Report 09-01:  'Sparse approximations of functions using sums of exponentials',  M. Carlsson,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2009)  pp. 1-26 View

'Sparse approximations of functions using sums of exponentials and AAK theory' , Journal of Approximation Theory  163 , 2 (2011)  pp. 213-248,  with F. Andersson, M. Carlsson and M.V. de Hoop, View

2008

GMIG Report 08-12:  'Relating capillary pressure to interfacial areas',  L.J. Pyrak-Nolte, D.D. Nolte, D. Chen and N. Giordano,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 221-238 View

'Relating capillary pressure to interfacial areas' , Water Resources Research  44 , W06408 (2008)   doi:10.1029/2007WR006434,  with L.J. Pyrak-Nolte, D.D. Nolte, D. Chen and N. Giordano, View

GMIG Report 08-11:  'Laboratory-scale study of field of view and the seismic interpretation of fracture specific stiffness',  A. Acosta-Colon, L.J. Pyrak-Nolte and D.D. Nolte,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 203-220 View

'Laboratory-scale study of field of view and the seismic interpretation of fracture specific stiffness' , Geophysical Prospecting  57 , 2 (2009)  pp. 209-224,  with A. Acosta-Colon, L.J. Pyrak-Nolte and D.D. Nolte, View

GMIG Report 08-10:  'Estimating a Green's function from "field-field" correlations in a random medium',  K. Sølna and M.V. de Hoop,   Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 183-201 View

'Estimating a Green's function from "field-field" correlations in a random medium' , SIAM Journal on Applied Mathematics  69 , 4 (2009)  pp. 909-932,  with K. Sølna and M.V. de Hoop, View

GMIG Report 08-09:  'Imaging and illumination with internal multiples',  A.E. Malcolm, B. Ursin and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 165-181 View

'Seismic imaging and illumination with internal multiples' , Geophysical Journal International  176 , 3 (2009)  pp. 847-864,  with A.E. Malcolm, B. Ursin and M.V. de Hoop, View

GMIG Report 08-08:  'Velocity continuation in the downward continuation approach to seismic imaging',  A.A. Duchkov and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 141-164 View

'Velocity continuation in the downward continuation approach to seismic imaging' , Geophysical Journal International  176 , 3 (2008)  pp. 909-924,  with A.A. Duchkov and M.V. de Hoop, View

GMIG Report 08-07:  'Focused Gaussian beams for seismic imaging',  R.L. Nowack,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 129-139 View

'Dynamically focused Gaussian beams for seismic imaging' , International Journal of Geophysics  2011 (2011)   doi:10.1155/2011/316581,  with R.L. Nowack, View

GMIG Report 08-06:  'Gaussian beam imaging for converted and surface reflected waves',  R.L. Nowack,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2008)  pp. 121-128 View

GMIG Report 08-05:  'Frame-based Gaussian beam summation and seismic head waves',  R.L. Nowack,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2008)  pp. 113-119 View

GMIG Report 08-04:  'Seismic imaging with the generalized Radon transform: A curvelet transform perspective',  M.V. de Hoop, H. Smith, G. Uhlmann and R.D. van der Hilst,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 93-112 View

'Seismic imaging with the generalized Radon transform: A curvelet transform perspective' , Inverse Problems  25 (2009)   doi:10.1088/0266-5611/25/2/025005,  with M.V. de Hoop, H. Smith, G. Uhlmann and R.D. van der Hilst, View

GMIG Report 08-03:  'Sensitivity analysis of wave-equation tomography: A multi-scale approach',  V. Brytik, M.V. de Hoop and M. Salo,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 57-91 View

'Sensitivity analysis of wave-equation tomography: A multi-scale approach' , Journal of Fourier Analysis and Applications  16 , 4 (2010)  pp. 544-589,  with V. Brytik, M.V. de Hoop and M. Salo, View

GMIG Report 08-02:  'Nonlinear approximation of functions by sums of wave packets',  F. Andersson, M. Carlsson and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 23-56 View

'Nonlinear approximation of functions in two dimensions by sums of wave packets' , Applied and Computational Harmonic Analysis  29 , 2 (2010)  pp. 198-213,  with F. Andersson, M. Carlsson and M.V. de Hoop, View

GMIG Report 08-02:  'Nonlinear approximation of functions by sums of wave packets',  F. Andersson, M. Carlsson and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group Purdue University, West Lafayette, IN  (2008)  pp. 23-56 View

'Nonlinear approximation of functions in two dimensions by sums of exponential functions' , Applied and Computational Harmonic Analysis  29 , 2 (2010)  pp. 156-181,  with F. Andersson, M. Carlsson and M.V. de Hoop, View

GMIG Report 08-01:  'Higher-dimensional discrete Smith curvelet transform: a parallel algorithm',  A.A. Duchkov, S. Dong, F. Andersson and M.V. de Hoop,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2008)  pp. 1-22 View

'Discrete, almost symmetric wave packets and multiscale geometric representation of (seismic) waves' , Geoscience and Remote Sensing, IEEE Transactions  48 , 9 (2010)  pp. 3408-3423,  with F. Andersson, M.V. de Hoop and A.A. Duchkov, View

2007

GMIG Report 07-01:  'Evolution-equation approach to seismic image, and data, continuation',  A.A. Duchkov, M.V. de Hoop and A.S. Sá Barreto,  Proceedings of the Project Review, Geo-Mathematical Imaging Group, Purdue University, West Lafayette, IN  (2007)  pp. 1-38 View

'Evolution-equation approach to seismic image, and data, continuation' , Wave Motion  45 , 7-8 (2008)  pp. 952-969,  with A.A. Duchkov, M.V. de Hoop and A.S. Sá Barreto, View