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On error estimation of finite element approximations to the elliptic equations in nonconvex polygonal domains |
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| Authors: | Nobito Yamamoto Kenta Genma |
| Institution: | Department of Computer Science, The University of Electro-Communications 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan |
| Abstract: | Numerical verification methods, so-called Nakao's methods, on existence or uniqueness of solutions to PDEs have been developed by Nakao and his group including the authors. They are based on the error estimation of approximate solutions which are mainly computed by FEM. |
| Keywords: | Finite element method Error estimation Nonconvex polygonal domain Numerical verification Verified computation |
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