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

DOI10.1051/m2an:2007031zbMath1142.65078OpenAlexW2168970443MaRDI QIDQ3507067

Martin A. Grepl, Ngoc Cuong Nguyen, Anthony T. Patera, Yvon Maday

Publication date: 18 June 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2007__41_3_575_0

zbMATH Keywords

Galerkin method numerical results nonlinear PDEs elliptic PDEs parabolic PDEs non-affine parameter dependence reduced-basis methods parametrized PDEs offline-online procedures

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

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