Concepedia

Pde-constrained Shape Optimization

PDE-Constrained Shape Optimization is a mathematical framework within shape optimization that seeks optimal domain configurations by minimizing a given objective functional subject to partial differential equations (PDEs) governing the physical behavior of the system, thereby distinguishing itself through the incorporation of PDEs as implicit constraints on the shape design.

42

Publications

2.2K

Citations

78

Authors

50

Institutions

Publications per year

2017–2026

14

Parents

Publications

42

Survey of Shape Parameterization Techniques for High-Fidelity Multidisciplinary Shape Optimization

Jamshid A. Samareh · AIAA Journal · 2001 · 415 citations

, , +14

Heaviside projection based topology optimization by a PDE-filtered scalar function

Atsushi Kawamoto, Tadayoshi MATSUMORI, Shintaro Yamasaki et al. · Structural and Multidisciplinary Optimization · 2010 · 293 citations

, , +11

Multigrid Methods for PDE Optimization

Volker Schulz · SIAM Review · 2009 · 167 citations

, , +14

Parametric free-form shape design with PDE models and reduced basis method

Toni Lassila, Gianluigi Rozza · Computer Methods in Applied Mechanics and Engineering · 2010 · 140 citations · Full text

, , +14

Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics

Volker Schulz, Martin Siebenborn, Kathrin Welker · SIAM Journal on Optimization · 2016 · 94 citations · Full text

, , +13

1–5 of 42

Authors

78

  1. VS
    Volker Schulz

    Universität Trier, Germany

    4 publications · 391 citations

    4

    h-index

  2. YZ
    Yongjie Zhang

    Carnegie Mellon University, United States

    3 publications · 56 citations

    3

    h-index

  3. AL
    Angran Li

    Carnegie Mellon University, United States

    3 publications · 56 citations

    3

    h-index

  4. MS
    Martin Siebenborn

    Universität Trier, Germany

    2 publications · 169 citations

    2

    h-index

  5. SZ
    Shengfeng Zhu

    East China Normal University, China

    2 publications · 27 citations

    2

    h-index

1–5 of 78

Institutions

50

  1. Carnegie Mellon University

    Pittsburgh, United States

    5 h-index

    10 publications

    222 citations

  2. Universität Trier

    Trier, Germany

    2 h-index

    5 publications

    432 citations

  3. State University of New York

    Albany, United States

    2 h-index

    4 publications

    128 citations

  4. ETH Zurich

    Zurich, Switzerland

    2 h-index

    3 publications

    131 citations

  5. Stony Brook University

    Stony Brook, United States

    2 h-index

    4 publications

    128 citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    1 h-index

    2 publications

    104 citations

  7. Technical University of Denmark

    Kongens Lyngby, Denmark

    1 h-index

    1 publications

    81 citations

  8. Harvard University

    Cambridge, United States

    1 h-index

    2 publications

    50 citations

1–8 of 50

Venues

  1. 4

    h-index

  2. Structural and Multidisciplinary Optimization

    2 publications · 345 citations

    2

    h-index

  3. AIAA Journal

    2 publications · 428 citations

    2

    h-index

  4. SIAM Journal on Optimization

    2 publications · 107 citations

    2

    h-index

  5. Computational Methods in Applied Mathematics

    2 publications · 98 citations

    2

    h-index

1–5