L. Machiels

Computational Mechanics · 2000–2006

A researcher in the Science corpus: 6 papers; trusts 6 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 15 citations into it; #1,123 of 10,001 by trust here, #792 by citations
• Statistical and Nonlinear Physics — 13 citations into it; #1,483 of 10,127 by trust here, #1,085 by citations
• Mechanics of Materials — 9 citations into it; #1,489 of 6,291 by trust here, #1,253 by citations
• Numerical Analysis — 9 citations into it; #1,397 of 3,586 by trust here, #959 by citations
• Computational Theory and Mathematics — 6 citations into it; #2,767 of 12,182 by trust here, #2,351 by citations

Whom L. Machiels trusts overall

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

1. Yvon Maday
2. Alfio Maria Quarteroni
3. Christophe Prud'Homme
4. Anthony T. Patera
5. Dimitrios Rovas
6. Sanjay Lall
7. Karen Veroy

Who trusts L. Machiels overall

1. Martin A. Grepl
2. Anthony T. Patera
3. Karen Veroy
4. Gianluigi Rozza
5. Anthony Nouy
6. Bernard Haasdonk
7. Dimitrios Rovas
8. Jan S. Hesthaven
9. Yvon Maday
10. Nguyen Ngoc Cuong

Papers from L. Machiels's perspective

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

1. A subspace approach to balanced truncation for model reduction of nonlinear control systems
2. Dimensional model reduction in non‐linear finite element dynamics of solids and structures
3. Balanced Model Reduction via the Proper Orthogonal Decomposition
4. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
5. The finite element method for elliptic problems (Classics in applied mathematics)
6. Numerical Approximation of Partial Differential Equations
7. Adjoint Recovery of Superconvergent Functionals from PDE Approximations (SIAM Review)
8. Approximation of large-scale dynamical systems: an overview
9. A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations : “convex inverse” bound conditioners
10. Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods

Their papers

• Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems (2000) — 166 citations
• Reduced-basis output bound methods for parabolic problems (2006) — 76 citations
• Output bounds for reduced-order approximations of elliptic partial differential equations (2001) — 50 citations
• Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods (2002) — 653 citations
• Reduced--Basis Output Bound Methods for Parametrized Partial Differential Equations (2002) — 95 citations
• A flux-free nodal Neumann subproblem approach to output bounds for partial differential equations (2000) — 48 citations