Concepedia

Single-layer Potentials

Single-Layer Potentials is a boundary integral representation in potential theory that expresses the solution to an elliptic partial differential equation as an integral of a fundamental solution weighted by a density function over the boundary, distinguishing it from double-layer potentials by employing the free-space Green's function without normal derivatives.

112

Publications

4.4K

Citations

171

Authors

108

Institutions

Publications per year

2017–2026

11

Variants

Single Layer Potentials

Parents

Publications

112

A common formalism for the Integral formulations of the forward EEG problem

Jan Kybic, Maureen Clerc, Toufic Abboud et al. · IEEE Transactions on Medical Imaging · 2005 · 448 citations · Full text

, , +17

Quadrature by expansion: A new method for the evaluation of layer potentials

Andreas Klöckner, Alexander H. Barnett, Leslie Greengard et al. · Journal of Computational Physics · 2013 · 203 citations · Full text

, , +4

On the evaluation of layer potentials close to their sources

Johan Helsing, Rikard Ojala · Journal of Computational Physics · 2007 · 159 citations · Full text

, , +4

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

Martin J. Gander, Hui Zhang · SIAM Review · 2019 · 159 citations · Full text

, , +15

The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders

R. M. Brown · American Journal of Mathematics · 1989 · 101 citations

, , +14

1–5 of 112

Authors

171

  1. EP
    Ernst P. Stephan

    Leibniz University Hannover, Germany

    5 publications · 190 citations

    5

    h-index

  2. MM
    Marius Mitrea

    University of Missouri, United States

    4 publications · 109 citations

    4

    h-index

  3. DM
    Dorina Mitrea

    University of Missouri, United States

    3 publications · 56 citations

    3

    h-index

  4. AH
    Alex H. Barnett

    Dartmouth College, United States

    3 publications · 153 citations

    3

    h-index

  5. MC
    Martin Costabel

    Institut de recherche mathématique de Rennes, France

    3 publications · 115 citations

    3

    h-index

1–5 of 171

Institutions

108

  1. University of Missouri

    Columbia, United States

    5 h-index

    5 publications

    99 citations

  2. École Polytechnique

    Palaiseau, France

    4 h-index

    5 publications

    639 citations

  3. Istanbul Technical University

    Istanbul, Türkiye

    3 h-index

    8 publications

    133 citations

  4. Dartmouth College

    Hanover, United States

    3 h-index

    3 publications

    279 citations

  5. Leibniz University Hannover

    Hanover, Germany

    3 h-index

    5 publications

    187 citations

  6. Pennsylvania State University

    State College, United States

    3 h-index

    4 publications

    121 citations

  7. University of Stuttgart

    Stuttgart, Germany

    3 h-index

    6 publications

    109 citations

  8. Université de Rennes

    Rennes, France

    2 h-index

    3 publications

    112 citations

1–8 of 108

Venues

  1. Mathematical Methods in the Applied Sciences

    8 publications · 177 citations

    8

    h-index

  2. Inverse Problems

    7 publications · 310 citations

    7

    h-index

  3. Journal of Computational Physics

    5 publications · 479 citations

    5

    h-index

  4. SIAM Journal on Scientific Computing

    5 publications · 211 citations

    5

    h-index

  5. Applicable Analysis

    4 publications · 95 citations

    4

    h-index

1–5