Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
نویسندگان
چکیده
منابع مشابه
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
Abstract. For elliptic interface problems in two and three dimensions, this paper studies a priori and residual-based a posteriori error estimations for the Crouzeix–Raviart nonconforming and the discontinuous Galerkin finite element approximations. It is shown that both the a priori and the a posteriori error estimates are robust with respect to the diffusion coefficient, i.e., constants in th...
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Discontinuous Galerkin (DG) finite element methods were studied by many researchers for second-order elliptic partial differential equations, and a priori error estimates were established when the solution of the underlying problem is piecewise H3/2+ smooth with > 0. However, elliptic interface problems with intersecting interfaces do not possess such a smoothness. In this paper, we establish a...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2017
ISSN: 0036-1429,1095-7170
DOI: 10.1137/16m1056171