A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problemsReportar como inadecuado




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Reference: Emmanuil H. Georgoulis and Andris Lasis, (2005). A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems. Unspecified.Citable link to this page:

 

A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems

Abstract: We consider a variant of the hp-version interior penalty discontinuous Galerkin finite element method (IP-DGFEM) for second order problems of degenerate type. We do not assume uniform ellipticity of the diffusion tensor. Moreover, diffusion tensors or arbitrary form are covered in the theory presented. A new, refined recipe for the choice of the discontinuity-penalisation parameter (that is present in the formlation of the IP-DGFEM) is given. Making use of the recently introduced augmented Sobolev space framework, we prove an hp-optimal error bound in the energy norm and an h-optimal and slightly p-suboptimal (by only half an order of p) bound in the L2 norm, provided that the solution belongs to an augmented Sobolev space.

Bibliographic Details

Issue Date: 2005-06Identifiers

Urn: uuid:933a15ac-a4a8-4c2b-98c8-a6b05e6593bb Item Description

Type: Technical Report;

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Autor: Emmanuil H. Georgoulis - - - Andris Lasis - - - - Bibliographic Details Issue Date: 2005-06 - Identifiers Urn: uuid:933a15ac-a4a8

Fuente: https://ora.ox.ac.uk/objects/uuid:933a15ac-a4a8-4c2b-98c8-a6b05e6593bb



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