Space-time discontinuous Galerkin finite element methods


Vegt, J.J.W. van der (2006) Space-time discontinuous Galerkin finite element methods. In: H. Deconinck & M. Ricchiuto (Eds.), 34th CFD - Higher Order Discretization Methods, Part I: Scalar conservation laws. VKI Lecture Series, 2006-0 . Von Karman Institute for Fluid Dynamics, Brussels, Belgium. ISBN 9782930389639

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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 disctretization 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.
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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