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P 1 -Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

✍ Scribed by Park, Chunjae; Sheen, Dongwoo

Book ID
118191172
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
513 KB
Volume
41
Category
Article
ISSN
0036-1429

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In a recent work, Hiptmair [Mathematisches Institut, M9404, 1994] has constructed and analyzed a family of nonconforming mixed finite elements for second-order elliptic problems. However, his analysis does not work on the lowest order elements. In this article, we show that it is possible to constru

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## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second‐order linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^‐ norms are derived. Numerical results