Error estimation for proper generalized decomposition solutions: a dual approach

DOI10.1002/NME.6452zbMATH Open1548.65327MaRDI QIDQ6554347

Author name not available (Why is that?), J. P. Moitinho De Almeida, Sergio Zlotnik, P. Diez

Publication date: 12 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

error estimationerror boundsmodel reductionproper generalized decompositionequilibrium formulation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

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• Separated representations and PGD-based model reduction. Fundamentals and applications. Papers based on the presentations at the course
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• Dual analysis with general boundary conditions
• \textit{A posteriori} error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems
• Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation
• A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics
• Equilibrium Finite Element Formulations
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• A‐posteriori error estimates for the finite element method
• Approximations in elasticity based on the concept of function space
• An efficient methodology for stress-based finite element approximations in two-dimensional elasticity

Related Items (2)

Error estimation for proper generalized decomposition solutions: dual analysis and adaptivity for quantities of interest ⋮ An efficient methodology for stress-based finite element approximations in two-dimensional elasticity

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