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arXiv · 1701.08855

On high-order conservative finite element methods

Eduardo Abreu·Ciro Diaz·Juan Galvis·Marcus Sarkis
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Abstract

A new high-order conservative finite element method for Darcy flow is presented. The key ingredient in the formulation is a volumetric, residual-based, based on Lagrange multipliers in order to impose conservation of mass that does not involve any mesh dependent parameters. We obtain a method with high-order convergence properties with locally conservative fluxes. Furthermore, our approach can be straightforwardly extended to three dimensions. It is also applicable to highly heterogeneous problems where high-order approximation is preferred.

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Eduardo Abreu, Ciro Diaz, Juan Galvis, Marcus Sarkis. 2017-06-29. On high-order conservative finite element methods. https://arxiv.org/abs/1701.08855

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