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A discontinuous hp finite element method for diffusion problems: 1-D analysis

✍ Scribed by I. Babuška; C.E. Baumann; J.T. Oden

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
873 KB
Volume
37
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper presents the mathematical analysis of a new variant of the discontinuous Galerkin method which is applicable to the numerical solution of diffusion problems, not requiring auxiliary variables such as those used in mixed methods. The focus of this study is on a class of linear second-order boundary value problems for which we prove stability and a priori error estimates in both the finite-and infinite-dimensional spaces. (~) 1999 Elsevier Science Ltd. All rights reserved.

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