Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471085 | Computers & Mathematics with Applications | 2014 | 10 Pages |
Abstract
This paper introduces a novel lowest-order discontinuous Petrov–Galerkin (dPG) finite element method (FEM) for the Poisson model problem. The ultra-weak formulation allows for piecewise constant and affine ansatz functions and for piecewise affine and lowest-order Raviart–Thomas test functions. This lowest-order discretization for the Poisson model problem allows for a direct proof of the discrete inf–sup condition and a complete a priori and a posteriori error analysis. Numerical experiments investigate the performance of the method and underline the quasi-optimal convergence.
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Authors
C. Carstensen, D. Gallistl, F. Hellwig, L. Weggler,