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Scholarly Interest Report
         
Maarten de Hoop
Professor
Simons Chair in Computational and Applied Mathematics and Earth Science; Professor of Computational and Applied Mathematics and Professor of Earth Science
 
e-mail:mdehoop@rice.edu
 
  • B.Sc. Physics (1981) Utrecht University, Netherlands
  • Ph.D. Technical Sciences (1992) Delft University of Technology, Netherlands
  • M.Sc. Theoretical Physics (1984) Utrecht University, Netherlands
 
Primary Department
   Department of Computational and Applied Mathematics
   Department of Earth, Environmental & Planetary Sciences
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Websites
 Maarten V. de Hoop
 
Selected Publications
 Refereed articles
 

E. Beretta, M.V. de Hoop, F. Faucher and O. Scherzer "Inverse boundary value problem for the Helmholtz equation: Quantitative conditional Lipschitz stability estimates." In Press

 
 

G. Alessandrini, M.V. de Hoop and R. Gaburro "Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities." Submitted

 
 

G. Alessandrini, M.V. de Hoop, R. Gaburro and E. Sincich "Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities." J. Math. Pures ApplIn Press

 
 

K. Datchev and M.V. de Hoop "Iterative reconstruction of the wave speed for the wave equation with bounded frequency boundary data." Inverse Problems

 
 

M.V. de Hoop and J. Chen "The inverse problem for electroseismic conversion: Stable recovery of the conductivity and the electrokinetic mobility parameter." Inverse Problems and ImagingIn Press

 
 

M.V. de Hoop, L. Oksanen and J. Tittelfitz "Uniqueness for a seismic inverse source problem modeling a subsonic rupture." Communications in Partial Differential Equations, 41In Press

 
 

M.V. de Hoop, M. Lassas, M. Santacesaria, S. Siltanen and J.P. Tamminen "Positive-energy D-bar method for acoustic tomography: A computational study." Inverse Problems

 
 

M.V. de Hoop, P. Kepley and L. Oksanen "An exact redatuming procedure for the inverse boundary value problem for the wave equation." Submitted

 
 

M.V. de Hoop, P. Kepley and L. Oksanen "On the construction of virtual interior point-source traveltime distances from the hyperbolic Neumann-to-Dirichlet map." SIAM J. Appl. Math, 76: 805-825.In Press

 
 

M.V. de Hoop, X. Liu and J. Xia "Parallel randomized and matrix-free direct solvers for large structured dense linear systems." SIAM J. Sci. CompIn Press

 
 

R. Ye, M.V. de Hoop, C.L. Petrovitch, L.J. Pyrak-Nolte and L.C. Wilcox "A Discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves." Geophysical Journal InternationalIn Press

 
 

S. Wang, X.S. Li, F.H. Rouet, J. Xia and M.V. de Hoop "A parallel geometric multifrontal solver using hierarchically semiseparable structure." ACM Trans. Math. Software

 
 

V. Albani, P. Elbau, M.V. de Hoop and O. Scherzer "Optimal convergence rates results for linear inverse problems in Hilbert spaces." Numerical Functional Analysis and Optimization, 37In Press

 
 

X. Shang, M.V. de Hoop and R.D. van der Hilst "Common conversion point stacking of receiver functions versus passive source reverse time migration and wavefield regularization." Submitted

 
 

Z. Xin, J. Xia, M.V. de Hoop, S. Cauley, and V. Balakrishnan "A distributed-memory randomized structured multifrontal method for sparse direct solutions." Submitted

 
 

E. Beretta, Maarten V. de Hoop, E. Francini and S. Vessella "Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation." Comm. Partial Differential Equations

 
 

F. Andersson, M.V. de Hoop, and H. Wendt "Multi-scale reverse-time-migration-type imaging using the dyadic parabolic decomposition of phase space." SIAM Imaging

 
 

M.V. de Hoop and J. Tittelfitz "An inverse source problem for a variable speed wave equation with discrete-in-time sources." Inverse Problems

 
 

M.V. de Hoop, G. Uhlmann and A. Vásy "Diffraction from conormal singularities." Annales Scientifiques de l’ENS serie 4

 
 

M.V. de Hoop, L. Qiu. and O. Scherzer "An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints." Numerische Mathematik, 129: 127-148.

 
 

M.V. de Hoop, S.F. Holman and H. Pham "On the system of elastic-gravitational equations describing the oscillations of the earth." Submitted

 
 

M.V. de Hoop, S.F. Holman, E. Iversen, M. Lassas and B. Ursin "Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times." Journal de Mathématiques Pures et Appliquées, 103: 830-848.

 
 

R. Andreev, P. Elbau, M.V. de Hoop, L. Qiu and O. Scherzer "Generalized convergence rates results for linear inverse problems in Hilbert spaces." Numerical Functional Analysis and Optimization, 36

 
 Books
 

K. Brazda, M.V. de Hoop, S.F. Holman, G. Hörmann, A. Iantchenko, G. Nakamura, H. Pham and J. Zhai "Mathematical Theory of Seismology." In Progress

 
 

M.V. de Hoop, S.F. Holman and G. Uhlmann "Microlocal Analysis of Seismic Body Waves and Linearized Inverse Problems." In Progress

 
Presentations
 Invited Talks
 

"‘Controlling multiple scattering in wavefields without knowing the wavespeed in bounded domains containing conormal singularities’, LIASFMA Workshop on Control and Inverse Problems for Partial Differential Equations ." Zhejiang University, Hangzhou, China.

 
 

"‘Dirichlet-to-Neumann maps in geophysics and inverse problems’, Dirichlet-to-Neumann Maps: Spectral Theory, Inverse Problems and Applications (Casa Matem´atica Oaxaca - Banff International Research Station, Oaxaca, Mexico)."

 
 

"‘Frame-based multi-scale Gaussian beams, wavefield approximation and boundary value problems’, Sparse Interpolation, Rational Approximation and Exponential Analysis." Casa Matem´atica Oaxaca - Banff International Research Station, Oaxaca, Mexico.

 
 

"‘Inverse problems in seismology with a view to the mantle’, Melt in the Mantle (Isaac Newton Institute for Mathematical Sciences, Cambridge, England)."

 
 

"‘Scatterign control for the wave equation with an unkown wavespeed containing conormal singularities’, Workshop on Inverse Problems, Imaging and PDEs." Jockey Club Institute for Advanced Study, HKUST, Hong Kong.

 
 

"‘Seismic inverse problems: Iterative reconstruction with bounded frequency boundary data’, Computational Seismology Workshop (Tsinghua Sanya International Mathematics Forum, Sanya, China)."

 
 

"Inverse Problems in Exploration and Global Seismology." Computer, Electrical and Mathematical Science and Engineering Division, KAUST, Saudi Arabia. (November)

 
 

"Seismic inverse problems: Revealing Earth’s interior." Lagrange Lecture, Dipartimento di Matematica “Giuseppe Peano”, Universtit`a degli Studi di Torino, Turin, Italy. (February)

 
 

"‘Seismic applications – Parallel randomized structured direct solvers for multi-frequency full waveform inversion’, Second EAGE Workshop on High Performance Computing for Upstream (Dubai, UAE)."

 
 

"‘Uniqueness of seismic inverse source problems modelling microseismicity and ruptures’, Workshop on Inverse Problems, Imaging and PDEs (Jockey Club Institute for Advanced Study, HKUST, Hong Kong)."

 
 

"Construction of high-frequency direct waves generated by interior point sources from the Neumann-to-Dirichlet map’, Passive Imaging and Monitoring in Wave Physics (Institut d’Etudes Scientifiques de Carg`ese, Carg`ese, Corsica, France)."

 
 

"Full waveform inversion: Iterative regularization and convergence’, Lofoten Seminar at Spitsbergen ." Longyearbyen, Svalbard.

 
 

"Seismic inverse problems." IMPACT Distinguished Lecture, School of Mathematics, Georgia Institute of Technology, Atlanta, GA. (October)

 
 

"The seismic inverse problem: Stability and reconstruction." Mathematics Program, New York University Abu Dhabi, Abu Dhabi, UAE.

 
 

"Uniqueness of seismic inverse source problems modeling microseismicity and ruptures and Construction of high-frequency direct waves generated by virtual interior point sources from the Neumann-to-Dirichlet map." Dipartimento di Matematica e Geoscienze, Sezione di Matematica e Informatica, Universtit`a degli Studi di Trieste, Trieste, Italy.