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Space-time discontinuos Galerkin method for solving nonstationary convection-diffusion-reaction problems

Miloslav FeistauerJaroslav HájekKarel Švadlenka — 2007

Applications of Mathematics

The paper presents the theory of the discontinuous Galerkin finite element method for the space-time discretization of a linear nonstationary convection-diffusion-reaction initial-boundary value problem. The discontinuous Galerkin method is applied separately in space and time using, in general, different nonconforming space grids on different time levels and different polynomial degrees p and q in space and time discretization, respectively. In the space discretization the nonsymmetric interior...

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