## Space-Time Discontinuous Galerkin Finite Element Methods

Citations: | 28 - 4 self |

### BibTeX

@MISC{Vegt_space-timediscontinuous,

author = {J. J. W. van der Vegt},

title = {Space-Time Discontinuous Galerkin Finite Element Methods},

year = {}

}

### OpenURL

### Abstract

In these notes an introduction is given to space-time discontinuous Galerkin (DG) finite element methods for hyperbolic and parabolic conservation laws on time dependent domains. The space-time DG discretization is explained in detail, including the definition of the numerical fluxes and stabilization operators necessary to maintain stable and non-oscillatory solutions. In addition, a pseudo-time integration method for the solution of the algebraic equations resulting from the DG discretization and the relation between the space-time DG method and an arbitrary Lagrangian Eulerian approach are discussed. Finally, a brief overview of some applications to aerodynamics is given.