A reduced basis method with exact-solution certificates for steady symmetric coercive equations

DOI10.1016/j.cma.2015.01.003zbMath1423.74937OpenAlexW2081716618MaRDI QIDQ1800211

Masayuki Yano

Publication date: 23 October 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2015.01.003

zbMATH Keywords

partial differential equationsreduced basiscomplementary variational principle\textit{a posteriori} error bound

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Reduced Basis Exact Error Estimates with Wavelets ⋮ Reduced basis methods with adaptive snapshot computations ⋮ A Reduced Basis Method for Coercive Equations with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Energy-Norm and Output Error Bounds ⋮ Primal-Dual Reduced Basis Methods for Convex Minimization Variational Problems: Robust True Solution a Posteriori Error Certification and Adaptive Greedy Algorithms ⋮ A Reduced Basis Method with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Application to Linear Elasticity ⋮ A reduced basis method for a PDE-constrained optimization formulation in discrete fracture network flow simulations ⋮ A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement ⋮ A hierarchical a posteriori error estimator for the reduced basis method

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