Reduced basis method for quadratically nonlinear transport equations

DOI10.1504/IJCSM.2009.030912zbMath1189.65225OpenAlexW2105323170MaRDI QIDQ969400

Dietmar B. Kröner, N. Jung, Bernard Haasdonk

Publication date: 7 May 2010

Published in: International Journal of Computing Science and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijcsm.2009.030912

zbMATH Keywords

convergencefinite element methodnumerical experimentsmodel reductionFEMa posteriori error estimatesreduced basis methodsparameter dependent transport equationsparametrised PDEsquadratically nonlinear transport equationstime-dependent viscous Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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Uses Software

• rbMIT

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