Concepedia

Pde-constrained Optimization

PDE-Constrained Optimization is a mathematical optimization framework in which the constraints include partial differential equations, distinguishing it from other optimization problems by requiring the solution to satisfy both the PDE system and the optimization criteria simultaneously.

227

Publications

9.4K

Citations

388

Authors

183

Institutions

Publications per year

2017–2026

95

Variants

Pde Constrained Optimization

Parents

Publications

227

Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space

Tan Bui–Thanh, Karen Willcox, Omar Ghattas · SIAM Journal on Scientific Computing · 2008 · 359 citations · Full text

, , +16

A Theoretical Framework for Convex Regularizers in PDE-Based Computation of Image Motion

Joachim Weickert, Christoph Schnörr · International Journal of Computer Vision · 2001 · 280 citations

, , +16

Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver

George Biros, Omar Ghattas · SIAM Journal on Scientific Computing · 2005 · 272 citations

, , +16

Optimal Solvers for PDE-Constrained Optimization

Tyrone Rees, H. Sue Dollar, Andrew J. Wathen · SIAM Journal on Scientific Computing · 2010 · 227 citations

, , +15

A new approximation of the Schur complement in preconditioners for PDE‐constrained optimization

John W. Pearson, Andrew J. Wathen · Numerical Linear Algebra with Applications · 2011 · 206 citations

, , +15

1–5 of 227

Authors

388

  1. MS
    Martin Stoll

    Max Planck Institute for Dynamics of Complex Technical Systems, Germany

    8 publications · 445 citations

    8

    h-index

  2. TM
    Thomas M. Surowiec

    Humboldt-Universität zu Berlin, Germany

    8 publications · 255 citations

    8

    h-index

  3. DK
    Drew Kouri

    Sandia National Laboratories California, United States

    7 publications · 382 citations

    7

    h-index

  4. OG
    Omar Ghattas

    The University of Texas at Austin, United States

    7 publications · 907 citations

    7

    h-index

  5. AS
    Anton Schiela

    Zuse Institute Berlin, Germany

    7 publications · 181 citations

    7

    h-index

1–5 of 388

Institutions

183

  1. Stanford University

    Stanford, United States

    10 h-index

    29 publications

    2.1K citations

  2. Max Planck Institute for Dynamics of Complex Technical Systems

    Magdeburg, Germany

    6 h-index

    6 publications

    298 citations

  3. University of British Columbia

    Vancouver, Canada

    6 h-index

    8 publications

    429 citations

  4. Zuse Institute Berlin

    Berlin, Germany

    6 h-index

    12 publications

    307 citations

  5. Sandia National Laboratories California

    Livermore, United States

    6 h-index

    9 publications

    191 citations

  6. Philipps University of Marburg

    Marburg, Germany

    5 h-index

    6 publications

    126 citations

  7. Universität Hamburg

    Hamburg, Germany

    5 h-index

    9 publications

    252 citations

  8. The University of Texas at Austin

    Austin, United States

    5 h-index

    11 publications

    357 citations

1–8 of 183

Venues

  1. SIAM Journal on Scientific Computing

    28 publications · 2.1K citations

    22

    h-index

  2. SIAM Journal on Optimization

    9 publications · 437 citations

    9

    h-index

  3. Computational Optimization and Applications

    9 publications · 308 citations

    9

    h-index

  4. arXiv (Cornell University)

    Repository · 8 publications · 262 citations

    9

    h-index

  5. Journal of Computational Physics

    7 publications · 318 citations

    7

    h-index

1–5