Concepedia

Helmholtz Inverse Problems

Helmholtz Inverse Problems is an academic concept within the field of acoustic inverse problems that refers to the inverse determination of sources, medium properties, or boundary conditions from measurements of acoustic fields governed by the Helmholtz equation, distinguishing it from other inverse problems by its reliance on frequency-domain wave propagation models.

327

Publications

13.4K

Citations

615

Authors

338

Institutions

Publications per year

2017–2026

89

Parents

Publications

327

Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems

Cosmin Anitescu, Elena Atroshchenko, Naif Alajlan et al. · Computers, materials & continua/Computers, materials & continua (Print) · 2019 · 660 citations · Full text

, , +17

A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems

Yogi A. Erlangga, Cornelis W. Oosterlee, C. Vuik · SIAM Journal on Scientific Computing · 2006 · 318 citations

, , +12

A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime

Charbel Farhat, Isaac Harari, Ulrich Hetmaniuk · Computer Methods in Applied Mechanics and Engineering · 2003 · 240 citations

, , +16

A MUSIC Algorithm for Locating Small Inclusions Buried in a Half-Space from the Scattering Amplitude at a Fixed Frequency

Habib Ammari, Ekaterina Iakovleva, Dominique Lesselier · Multiscale Modeling and Simulation · 2005 · 199 citations

, , +15

Electromagnetic Inverse Solutions in Anatomically Constrained Spherical Head Models

Laurent Spinelli, Sara González Andino, Göran Lantz et al. · Brain Topography · 2000 · 183 citations

, , +14

1–5 of 327

Authors

615

  1. PL
    Peijun Li

    Purdue University West Lafayette, United States

    10 publications · 437 citations

    10

    h-index

  2. DC
    David Colton

    University of Delaware, United States

    8 publications · 361 citations

    8

    h-index

  3. JS
    John Sylvester

    University of Washington, United States

    7 publications · 381 citations

    7

    h-index

  4. WC
    Wen Chen

    Hohai University, China

    7 publications · 191 citations

    7

    h-index

  5. MV
    Michael V. Klibanov

    University of North Carolina at Charlotte, United States

    7 publications · 193 citations

    7

    h-index

1–5 of 615

Institutions

338

  1. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    29 publications

    619 citations

  2. Purdue University West Lafayette

    West Lafayette, United States

    12 h-index

    20 publications

    744 citations

  3. University of Delaware

    Newark, United States

    9 h-index

    18 publications

    935 citations

  4. Université de Pau et des Pays de l'Adour

    Pau, France

    7 h-index

    9 publications

    121 citations

  5. Hohai University

    Nanjing, China

    7 h-index

    16 publications

    453 citations

  6. École Polytechnique

    Palaiseau, France

    6 h-index

    7 publications

    459 citations

  7. University of British Columbia

    Vancouver, Canada

    6 h-index

    14 publications

    755 citations

  8. University of Utah

    Salt Lake City, United States

    6 h-index

    15 publications

    609 citations

1–8 of 338

Venues

  1. Inverse Problems

    49 publications · 2.2K citations

    29

    h-index

  2. Journal of Computational Physics

    19 publications · 639 citations

    17

    h-index

  3. 14

    h-index

  4. Engineering Analysis with Boundary Elements

    14 publications · 400 citations

    13

    h-index

  5. SIAM Journal on Mathematical Analysis

    9 publications · 350 citations

    9

    h-index

1–5