Accurate and online-efficient evaluation of thea posteriorierror bound in the reduced basis method
DOI10.1051/m2an/2013097zbMath1288.65157arXiv1212.0970OpenAlexW1892039228MaRDI QIDQ5414161
Alexandre Ern, Fabien Casenave, Tony Lelièvre
Publication date: 2 May 2014
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.0970
numerical examplesboundary element methodacoustic scatteringHelmholtz equationreduced basis methoddiffusion problemempirical interpolation methodround-off errorsa posteriori error bound
Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
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