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 continuous Galerkin method for pseudo-hyperbolic equations with variable coefficients
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DOI: 10.1016/j.jmaa.2019.01.008
Abstract: Abstract This paper, we study a space-time continuous Galerkin (STCG) method with mesh change for two-dimensional (2-D) pseudo-hyperbolic equations with variable coefficients, which gives the same treatment for time and space discretizations, namely both time… read more here.
Keywords: pseudo hyperbolic; time; method; hyperbolic equations ... See more keywords