Abstract:In this paper, we develop a weak Galerkin (WG) finite element method for
a linear poroelasticity model where weak divergence and weak gradient
operators defined over discontinuous functions are introduced. We
establish both the continuous and discrete time WG schemes, and obtain
their optimal convergence order estimates in a discrete $H^1$ norm
for the displacement and in $H^1$ and $L^2$ norms for the
pressure. Finally, we present some numerical experiments on different
kinds of meshes to illustrate the theore… Show more
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