Main fields: 

- inverse problems and microlocal analysis, and applications in exploration seismology and global seismology, coupled to geodynamics
- multi-dimensional imaging, inverse scattering and tomography
- nonlinear inverse boundary value problems: direct and iterative reconstruction; geometric inverse problems
- development of multiscale methods and nonlinear theories of generalized functions applied to scattering and inverse scattering in media of low regularity, highly discontinuous and random media
- structured matrix based methods, and massively parallel algorithms 

Journey to the Center of the Earth

  • Wave Sensing, Undersampling.

    Wave Sensing, Undersampling

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  • Wave Packets: Nonlinear Approximation, Compression, Sparse Sampling

    Wave Packets: Nonlinear Approximation, Compression, Sparse Sampling

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  • Extended Isochron Rays

    Extended Isochron Rays

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  • Downward Continuation Based Extended Imaging

    Downward Continuation Based Extended Imaging

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  • Thermal Anomaly, Transition Zone, Hawaii

    Thermal Anomaly, Transition Zone, Hawaii

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  • Inverse Scattering & Full Waveform Inversion

    Core-Mantle Boundary, Post-Perovskite Phase Transition and D"

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  • Scattering, Random Media and Interferometry

    Scattering, Random Media and Interferometry

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  • Anisotropic surface-wave tomography - Tibetan plateau

    Anisotropic surface-wave tomography - Tibetan plateau

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  • Digital & Experimental Rock Physics

    Carbonite Rock and Fracture

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  • Discontinuous Galerkin Method

    Discontinuous Galerkin Method: Rough surface of a carbonate rock sample.

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  • Unstructured Meshes, Deformation, Multiscale Refinement

    Unstructured Meshes, Deformation, Multiscale Refinement

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  • Discontinuous Galerkin Method

    Discontinuous Galerkin Method: SEAM 3D

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  • Algorithms: Imaging & Wave Equation Tomography

    Massively Parallel Structured Direct Helmholtz Solver

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  • Conditional Lipschitz Stability, Sparsity, Convergence Radius

    Conditional Lipschitz Stability, Sparsity, Convergence Radius

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  • Conditional Lipschitz Stability, Sparsity, Convergence Radius

    Conditional Lipschitz Stability, Sparsity, Convergence Radius

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  • Conditional Lipschitz Stability, Sparsity, Convergence Radius

    Conditional Lipschitz Stability, Sparsity, Convergence Radius

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  • Earth as an unstructured mesh

    Earth as an unstructured mesh

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  • Wave Propagation and Scattering in Anisotropic Solids

    Wave Propagation and Scattering in Anisotropic Solids

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  • Segmentation Driven Domain Partitioning

    Segmentation Driven Domain Partitioning

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Scattering, Imaging and Inverse Problems ; Theoretical and Computational Seismology

News and Events

  • 07/25/2013Post-Doc Position openingRead more.
  • 07/25/2013PhD student openingRead more.
  • 08/24/2012Local analysis of inverse problems: Hölder stability and iterative reconstructionRead more.
  • 08/01/2012Data analysis tools for uncertainty quantification of inverse problems Read more.
  • 05/27/2011Seismic Imaging of Transition Zone Discontinuities Suggests Hot Mantle West of HawaiiRead more.
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Recent Publications

Reconstruction of a conformally Euclidean metric metric from local boundary diffraction travel times
S.F. Holman, E. Iversen, M. Lassas and B. Ursin,  SIAM J. Math. Anal. (2014) in print   View

Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times
S.F. Holman, E. Iversen, M. Lassas and B. Ursin,  J. Math. Pures Appl. (2014) in print   View

Exact and approximate expansions with pure Gaussian wavepackets
K. Gröchenig and J. L. Romero,  SIAM J. Math. Anal. (2014) in print   View

Maarten V. de Hoop

Maarten V. de Hoop

Geo-Mathematical Imaging Group
Department of Mathematics
Department of Earth, Atmospheric, and Planetary Sciences
Purdue University
West Lafayette, Indiana 47907, USA
Phone: 765-496-6439
email: mdehoop@purdue.edu