Concepedia

Boundary Integral Equations

Boundary Integral Equations is a mathematical formulation within the class of integral equations that specifically expresses boundary value problems in terms of integrals over the boundary of the domain, thereby reducing the dimensionality of the problem and enabling solution via boundary element methods.

2.7K

Publications

123.5K

Citations

3.7K

Authors

1.3K

Institutions

Publications per year

2017–2026

298

Variants

Boundary Integral Equation

Parents

Publications

2.7K

Spectral asymmetry and Riemannian Geometry. I

Michael Atiyah, V. K. Patodi, I. M. Singer · Mathematical Proceedings of the Cambridge Philosophical Society · 1975 · 2.1K citations

, , +10

The fast multipole method for the wave equation: a pedestrian prescription

Ronald R. Coifman, Vladimir Rokhlin, Stephen M. Wandzura · IEEE Antennas and Propagation Magazine · 1993 · 1.5K citations

, , +12

Quantitative phase-field modeling of dendritic growth in two and three dimensions

Alain Karma, Wouter‐Jan Rappel · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1998 · 1.5K citations

, , +16

The application of integral equation methods to the numerical solution of some exterior boundary-value problems

A.J. Burton, G. F. Miller · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1971 · 1.2K citations

, , +15

Boundary Integral Operators on Lipschitz Domains: Elementary Results

Martin Costabel · SIAM Journal on Mathematical Analysis · 1988 · 898 citations

, , +16

1–5 of 2.7K

Authors

3.7K

  1. EP
    Ernst P. Stephan

    Leibniz University Hannover, Germany

    29 publications · 1.7K citations

    21

    h-index

  2. JS
    J. Sládek

    Slovak Academy of Sciences, Slovakia

    28 publications · 1.5K citations

    20

    h-index

  3. JC
    Jeng‐Tzong Chen

    National Taiwan Ocean University, Taiwan

    22 publications · 1.5K citations

    19

    h-index

  4. WL
    Wolfgang L. Wendland

    University of Stuttgart, Germany

    28 publications · 1.3K citations

    19

    h-index

  5. VS
    V. Sládek

    Slovak Academy of Sciences, Slovakia

    27 publications · 1.5K citations

    19

    h-index

1–5 of 3.7K

Institutions

1.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    27 h-index

    114 publications

    5.5K citations

  2. University of Illinois Urbana-Champaign

    Urbana, United States

    24 h-index

    68 publications

    5.6K citations

  3. University of Michigan

    Ann Arbor, United States

    22 h-index

    76 publications

    4K citations

  4. University of Colorado Boulder

    Boulder, United States

    22 h-index

    58 publications

    3.8K citations

  5. University of Delaware

    Newark, United States

    22 h-index

    48 publications

    2.4K citations

  6. Cornell University

    Ithaca, United States

    21 h-index

    61 publications

    2.9K citations

  7. University of Minnesota

    Minneapolis, United States

    20 h-index

    52 publications

    2.6K citations

  8. National Taiwan Ocean University

    Keelung, Taiwan

    20 h-index

    49 publications

    2.1K citations

1–8 of 1.3K

Venues

  1. Journal of Fluid Mechanics

    99 publications · 8.3K citations

    52

    h-index

  2. 48

    h-index

  3. Physics of Fluids

    72 publications · 3.9K citations

    39

    h-index

  4. Journal of Computational Physics

    69 publications · 4.3K citations

    35

    h-index

  5. Engineering Analysis with Boundary Elements

    104 publications · 3.4K citations

    31

    h-index

1–5