The Mathematical Institute, University of Oxford, Eprints Archive

Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems

Houston, P. and Schwab, Christoph and Suli, Endre (1998) Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems. Technical Report. Unspecified. (Submitted)

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Abstract

We analyze the $hp$-version of the streamline-diffusion (SDFEM) and of the discontinuous Galerkin method (DGFEM) for first--order linear hyperbolic problems. For both methods, we derive new error estimates on quadrilateral meshes which are sharp in the mesh-width $h$ and in the spectral order $p$ of the method, assuming that the stabilization parameter is $O(h/p)$. For piecewise analytic solutions, exponential convergence is established. For the DGFEM we admit very general irregular meshes and for the SDFEM we allow meshes which contain hanging nodes. Numerical experiments confirm the theoretical results.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1303
Deposited By:Lotti Ekert
Deposited On:04 Jun 2011 09:13
Last Modified:04 Jun 2011 09:13

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