Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

Details Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

2010-10-08

arxiv.org/abs/1010.1761v1

Mathematical Modelling and Numerical Analysis (2010)

Mathematics

Analysis of PDEs

Scientific paper

We present a reduced basis offline/online procedure for viscous Burgers initial boundary value problem, enabling efficient approximate computation of the solutions of this equation for parametrized viscosity and initial and boundary value data. This procedure comes with a fast-evaluated rigorous error bound certifying the approximation procedure. Our numerical experiments show significant computational savings, as well as efficiency of the error bound.

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