On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow
Vít Dolejší, Miloslav Feistauer, Christoph Schwab (2002)
Mathematica Bohemica
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The paper is concerned with the discontinuous Galerkin finite element method for the numerical solution of nonlinear conservation laws and nonlinear convection-diffusion problems with emphasis on applications to the simulation of compressible flows. We discuss two versions of this method: (a) Finite volume discontinuous Galerkin method, which is a generalization of the combined finite volume—finite element method. Its advantage is the use of only one mesh (in contrast to the combined...