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A DGFEM for nondivergence form elliptic equations with Cordes coefficients on curved domains
Author(s) -
Kawecki Ellya L.
Publication year - 2019
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22372
Subject(s) - mathematics , piecewise , lipschitz continuity , discontinuous galerkin method , finite element method , domain (mathematical analysis) , regular polygon , partial differential equation , mathematical analysis , galerkin method , lipschitz domain , elliptic partial differential equation , elliptic curve , geometry , physics , thermodynamics
I. Smears and E. Süli designed and analyzed a discontinuous Galerkin finite element method for the approximation of solutions to elliptic partial differential equations in nondivergence form. The results were proven, based on the assumption that the computational domain was convex and polytopal . In this paper, we extend this framework, allowing for Lipschitz continuous domains with piecewise curved boundaries.