Martin A. Grepl

Computational Mechanics · 2005–2018

A researcher in the Science corpus: 7 papers; trusts 28 researchers and is trusted by 45 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 45 citations into it; #483 of 10,001 by trust here, #1,357 by citations
• Statistical and Nonlinear Physics — 43 citations into it; #329 of 10,127 by trust here, #1,113 by citations
• Mechanics of Materials — 28 citations into it; #2,489 of 6,291 by trust here, #4,968 by citations
• Numerical Analysis — 21 citations into it; #400 of 3,586 by trust here, #441 by citations
• Statistics and Probability — 15 citations into it; #1,427 of 12,932 by trust here, #3,703 by citations
• Computational Theory and Mathematics — 14 citations into it
• Electrical and Electronic Engineering — 7 citations into it
• Atmospheric Science — 5 citations into it

Whom Martin A. Grepl trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Karen Veroy
2. Anthony T. Patera
3. Yvon Maday
4. Dimitrios Rovas
5. Christophe Prud'Homme
6. L. Machiels
7. Ngoc Cuong Nguyen
8. Bernard Haasdonk
9. Gianluigi Rozza
10. Karen E. Willcox

Who trusts Martin A. Grepl overall

1. Bernhard Wieland
2. Gianluigi Rozza
3. Anthony T. Patera
4. Karen E. Willcox
5. Ngoc Cuong Nguyen
6. Alfio Maria Quarteroni
7. Charbel Farhat
8. C. Nguyen
9. Michalis Frangos
10. Paolo Pacciarini

Papers from Martin A. Grepl's perspective

Ordered by how strongly the researchers Martin A. Grepl trusts endorse each paper. Same corpus, a different order for every researcher.

1. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
2. Balanced Model Reduction via the Proper Orthogonal Decomposition
3. A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations : “convex inverse” bound conditioners
4. Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
5. Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods
6. A subspace approach to balanced truncation for model reduction of nonlinear control systems
7. A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations
8. Adjoint Recovery of Superconvergent Functionals from PDE Approximations (SIAM Review)
9. The finite element method for elliptic problems (Classics in applied mathematics)
10. Numerical Approximation of Partial Differential Equations

Their papers

• A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations (2005) — 418 citations
• Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation (2018) — 51 citations
• CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS (2012) — 56 citations
• Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems (2011) — 50 citations
• A Posteriori Error Bounds for the Empirical Interpolation Method (2010) — 69 citations
• EFFICIENT REDUCED-BASIS TREATMENT OF NONAFFINE AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (2007) — 589 citations
• Reduced-basis approximation a posteriori error estimation for parabolic partial differential equations (2005) — 103 citations