A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes
نویسندگان
چکیده
منابع مشابه
A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
A residual type a posteriori error estimator is presented and analyzed for Weak Galerkin finite element methods for second order elliptic problems. The error estimator is proved to be efficient and reliable through two estimates, one from below and the other from above, in terms of an H1-equivalent norm for the exact error. Two numerical experiments are conducted to demonstrate the effectivenes...
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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: Journal of Computational and Applied Mathematics
سال: 2019
ISSN: 0377-0427
DOI: 10.1016/j.cam.2018.09.007