## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of secondβorder linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^β norms are derived. Numerical results
β¦ LIBER β¦
A weak Galerkin finite element method for second-order elliptic problems
β Scribed by Junping Wang; Xiu Ye
- Book ID
- 119211391
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 268 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0377-0427
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We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r