论文信息 - Low-order dPG-FEM for an elliptic PDE

Low-order dPG-FEM for an elliptic PDE

This paper introduces a novel lowest-order discontinuous PetrovGalerkin (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 RaviartThomas test functions. This lowest-order discretization for the Poisson model problem allows for a direct proof of the discrete infsup condition and a complete apriori and aposteriori error analysis. Numerical experiments investigate the performance of the method and underline the quasi-optimal convergence.

Carsten Carstensen | Dietmar Gallistl | Lucy Weggler | Friederike Hellwig

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