Continuous Galerkin and Enriched Galerkin Methods with Arbitrary Order Discontinuous Trial Functions for the Elliptic and Parabolic Problems with Jump Conditions
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DOI: 10.1007/s10915-020-01255-4
Abstract: In this paper, a new version of the enriched Galerkin (EG) method for elliptic and parabolic equations is presented and analyzed, which is capable of dealing with a jump condition along a submanifold $${\Gamma _{\text… read more here.
Keywords: enriched galerkin; method; elliptic parabolic; continuous galerkin ... See more keywords
A posteriori error estimates for Biot system using Enriched Galerkin for flow
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DOI: 10.1016/j.cma.2020.113185
Abstract: Abstract We analyze the Biot system solved with a fixed-stress split, Enriched Galerkin (EG) discretization for the flow equation, and Galerkin for the mechanics equation. Residual-based a posteriori error estimates are established with both lower… read more here.
Keywords: enriched galerkin; error; error estimates; posteriori error ... See more keywords