Reduced Basis Method for quadratically nonlinear transport equations
作者： N. Jung , B. Haasdonk , D. Kroner
DOI: 10.1504/IJCSM.2009.030912
关键词:
摘要: If many numerical solutions of parametrised partial differential equations have to be computed for varying parameters, usual Finite Element Methods (FEM) suffer from too high computational costs. The RBM allows solve problems faster than by a direct FEM. In the current presentation we extend stationary viscous Burgers equation time-dependent case and general quadratically nonlinear transport equations. A posteriori error estimators justify approach. Numerical experiments on parameter-dependent problem, demonstrate applicability model reduction technique. Comparison CPU times FEM demonstrates efficiency.
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