Local discontinuous Galerkin methods for elliptic problems

P. Castillo; Bernardo Cockburn; I. Perugia; D. Schötzau

doi:10.1002/cnm.471

Local discontinuous Galerkin methods for elliptic problems

P. Castillo, Bernardo Cockburn, I. Perugia, D. Schötzau

School of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical examples are displayed which confirm the theoretical results and show that the coupling works very well.

Original language	English (US)
Pages (from-to)	69-75
Number of pages	7
Journal	Communications in Numerical Methods in Engineering
Volume	18
Issue number	1
DOIs	https://doi.org/10.1002/cnm.471
State	Published - Jan 2002

Keywords

Discontinuous Galerkin methods
Elliptic problems
Finite element methods

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10.1002/cnm.471

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abstract = "In this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical examples are displayed which confirm the theoretical results and show that the coupling works very well.",

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AU - Schötzau, D.

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AB - In this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical examples are displayed which confirm the theoretical results and show that the coupling works very well.

KW - Discontinuous Galerkin methods

KW - Elliptic problems

KW - Finite element methods

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Local discontinuous Galerkin methods for elliptic problems

Abstract

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