Concepedia

Laplace Equation Models

Laplace Equation Models is a mathematical modeling framework in the class of partial differential equation models that specifically describes steady-state phenomena by characterizing scalar fields through the absence of local sources or sinks, distinguished by its use of the Laplace operator to express spatial homogeneity in the absence of net flux divergence.

262

Publications

10.6K

Citations

603

Authors

340

Institutions

Publications per year

2017–2026

37

Parents

Publications

262

A new version of the Fast Multipole Method for the Laplace equation in three dimensions

Leslie Greengard, Vladimir Rokhlin · Acta Numerica · 1997 · 884 citations

, , +12

A Fast Adaptive Multipole Algorithm in Three Dimensions

Hongwei Cheng, Leslie Greengard, Vladimir Rokhlin · Journal of Computational Physics · 1999 · 702 citations · Full text

, , +11

The Brezis-Nirenberg result for the fractional Laplacian

Raffaella Servadei, Enrico Valdinoci · Transactions of the American Mathematical Society · 2014 · 565 citations · Full text

, , +11

Edge-avoiding wavelets and their applications

Raanan Fattal · ACM Transactions on Graphics · 2009 · 292 citations

, , +14

Boundary element method: fundamentals and applications

Choice Reviews Online · 1998 · 278 citations

, , +16

1–5 of 262

Authors

603

  1. CL
    Chein‐Shan Liu

    National Taiwan Ocean University, Taiwan

    6 publications · 187 citations

    6

    h-index

  2. JC
    Jeng‐Tzong Chen

    National Taiwan Ocean University, Taiwan

    5 publications · 143 citations

    5

    h-index

  3. AW
    A. W. Neumann

    University of Toronto, Canada

    3 publications · 93 citations

    3

    h-index

  4. PE
    Paolo Emilio Ricci

    Sapienza University of Rome, Italy

    3 publications · 56 citations

    3

    h-index

  5. LG
    Leslie Greengard

    Courant Institute of Mathematical Sciences, United States

    3 publications · 1.7K citations

    3

    h-index

1–5 of 603

Institutions

340

  1. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    16 publications

    458 citations

  2. National Taiwan Ocean University

    Keelung, Taiwan

    7 h-index

    16 publications

    390 citations

  3. Lanzhou University

    Lanzhou, China

    6 h-index

    15 publications

    185 citations

  4. Delft University of Technology

    Delft, The Netherlands

    4 h-index

    9 publications

    512 citations

  5. National Taiwan University

    Taipei, Taiwan

    4 h-index

    5 publications

    236 citations

  6. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering

    Nanjing, China

    3 h-index

    7 publications

    120 citations

  7. Hohai University

    Nanjing, China

    3 h-index

    8 publications

    112 citations

  8. University of Toronto

    Toronto, Canada

    3 h-index

    11 publications

    315 citations

1–8 of 340

Venues

  1. Engineering Analysis with Boundary Elements

    13 publications · 385 citations

    12

    h-index

  2. Mathematics of Computation

    MCOM · 8 publications · 324 citations

    8

    h-index

  3. Applied Mathematics and Computation

    6 publications · 84 citations

    6

    h-index

  4. SIAM Journal on Numerical Analysis

    5 publications · 163 citations

    5

    h-index

  5. Computational Mechanics

    4 publications · 144 citations

    4

    h-index

1–5