A comparative numerical study of different finite element formulations for 2D model elliptic problems: Continuous and discontinuous Galerkin, mixed and hybrid methods
Different finite element formulations for Poisson problems are implemented and compared.
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The methods are applied to two model problems.
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The first problem has smooth solution and the second one presents a square root singularity.
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For the problem with a smooth solution, the results confirm convergence orders.
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For the singular problem, hp adapted meshes tuned to the singularity are created.
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