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Published in:
2011 | OriginalPaper | Chapter
Space-Time Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems and Compressible Flow
Authors : Miloslav Feistauer, Jan Česenek
Published in: Numerical Methods and Applications
Publisher: Springer Berlin Heidelberg
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This paper is concerned with the numerical solution of nonstationary, nonlinear, convection-diffusion problems by the space-time discontinuous Galerkin finite element method (DGFEM) and applications to compressible flow. The first part is devoted to theoretical analysis of error estimates of the method. In the second part, this technique is applied to the numerical solution of compressible flow in time-dependent domains and the simulation of flow induced airfoil vibrations.