On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow

Vít Dolejší; Miloslav Feistauer; Christoph Schwab

Numerical solution of compressible flow

Lukáčová-Medviďová, Mária

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Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems

Vít Dolejší, Miloslav Feistauer, Jiří Felcman, Alice Kliková (2002)

Applications of Mathematics

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The subject of the paper is the derivation of error estimates for the combined finite volume-finite element method used for the numerical solution of nonstationary nonlinear convection-diffusion problems. Here we analyze the combination of barycentric finite volumes associated with sides of triangulation with the piecewise linear nonconforming Crouzeix-Raviart finite elements. Under some assumptions on the regularity of the exact solution, the $L^{2} (L^{2})$ and $L^{2} (H^{1})$ error estimates are established....

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