A Reduced Basis Method for Coercive Equations with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Energy-Norm and Output Error Bounds

DOI10.1137/16M1071341zbMath1383.65145OpenAlexW2787251405MaRDI QIDQ4603504

Masayuki Yano

Publication date: 21 February 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1071341

zbMATH Keywords

stabilityfinite elementreduced basis methoda posteriori error boundssuccessive constraint methodminimum-residual mixed methodoffline-online decompositionspatio-parameter adaptivity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

Registration-based model reduction of parameterized two-dimensional conservation laws ⋮ Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity ⋮ Primal-Dual Reduced Basis Methods for Convex Minimization Variational Problems: Robust True Solution a Posteriori Error Certification and Adaptive Greedy Algorithms ⋮ A discretize-then-map approach for the treatment of parameterized geometries in model order reduction ⋮ POD model order reduction with space-adapted snapshots for incompressible flows

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