Concepedia

Test Spaces

Test Spaces is a mathematical framework in the context of weak formulations that consists of a chosen set of smooth, compactly supported functions used to transform partial differential equations into integral form by serving as weighting functions against which solutions are tested.

79

Publications

3.3K

Citations

147

Authors

119

Institutions

Publications per year

2017–2026

12

Variants

Test Function Spaces

Parents

Publications

79

Time-domain finite-element methods

J.-F. Lee, R. Lee, A.C. Cangellaris · IEEE Transactions on Antennas and Propagation · 1997 · 417 citations

, , +15

A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions

L. Demkowicz, Jay Gopalakrishnan · Numerical Methods for Partial Differential Equations · 2010 · 268 citations

, , +15

F-Regularity, Test Elements, and Smooth Base Change

Melvin Hochster, Craig Huneke · Transactions of the American Mathematical Society · 1994 · 174 citations

, , +5

Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions

Barbara Lee Keyfitz, Herbert C. Kranzer · Journal of Differential Equations · 1995 · 165 citations

, , +13

Plane wave discontinuous Galerkin methods: Analysis of the<i>h</i>-version

Claude Jeffrey Gittelson, Ralf Hiptmair, Ilaria Perugia · ESAIM Mathematical Modelling and Numerical Analysis · 2009 · 162 citations · Full text

, , +14

1–5 of 79

Authors

147

  1. SP
    Sylvia Pulmannová

    Slovak Academy of Sciences, Slovakia

    3 publications · 73 citations

    3

    h-index

  2. WD
    Wolfgang Dahmen

    RWTH Aachen University, Germany

    2 publications · 144 citations

    2

    h-index

  3. MZ
    Markus Zimmermann

    Technical University of Munich, Germany

    2 publications · 49 citations

    2

    h-index

  4. JE
    Joseph E. Pasciak

    Texas A&M University, United States

    2 publications · 71 citations

    2

    h-index

  5. DK
    Dohan Kim

    Seoul National University, South Korea

    2 publications · 79 citations

    2

    h-index

1–5 of 147

Institutions

119

  1. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    3 h-index

    5 publications

    121 citations

  2. University of Göttingen

    Göttingen, Germany

    3 h-index

    3 publications

    94 citations

  3. Texas A&M University

    College Station, United States

    3 h-index

    7 publications

    224 citations

  4. Slovak Academy of Sciences

    Bratislava, Slovakia

    3 h-index

    5 publications

    121 citations

  5. BMW (Germany)

    Munich, Germany

    2 h-index

    4 publications

    98 citations

  6. Helsinki Institute of Physics

    Helsinki, Finland

    2 h-index

    3 publications

    72 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    2 h-index

    2 publications

    49 citations

  8. Bulgarian Academy of Sciences

    Sofia, Bulgaria

    2 h-index

    2 publications

    97 citations

1–8 of 119

Venues

  1. Journal of Mathematical Physics

    4 publications · 89 citations

    4

    h-index

  2. Mathematics of Computation

    MCOM · 3 publications · 161 citations

    3

    h-index

  3. 3

    h-index

  4. Computational Methods in Applied Mathematics

    3 publications · 55 citations

    3

    h-index

  5. SIAM Journal on Numerical Analysis

    2 publications · 126 citations

    2

    h-index

1–5