Low-order dPG-FEM for an elliptic PDE
نویسندگان
چکیده
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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عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 68 شماره
صفحات -
تاریخ انتشار 2014