A two-grid finite-element/reduced basis scheme for the approximation of the solution of parametric dependent P.D.E

DOI10.1016/j.crma.2009.02.019zbMath1161.65083OpenAlexW2067743984MaRDI QIDQ1013039

Rachida Chakir, Yvon Maday

Publication date: 16 April 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.02.019

zbMATH Keywords

numerical examplesconvergence accelerationfinite elementerror estimatereduced basis methodparameter fitting

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) 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

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems, Error estimate of the non-intrusive reduced basis (NIRB) two-grid method with parabolic equations, RB (reduced basis) for RB (Rayleigh-Bénard), A non-intrusive reduced basis method for elastoplasticity problems in geotechnics, Error estimate of the non-intrusive reduced basis method with finite volume schemes, Registration-based model reduction in complex two-dimensional geometries, Data-driven operator inference for nonintrusive projection-based model reduction, A non-intrusive reduced basis approach for parametrized heat transfer problems, Reduced basis method for the adapted mesh and Monte Carlo methods applied to an elliptic stochastic problem, Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs

Cites Work

• Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
• Unnamed Item