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- W3146985461 abstract "For the Poisson equation with Robin boundary conditions,by using a few techniques such as orthogonal expansion(M-type),separation of the main part and the finite element projection,we prove for the first time that the asymptotic error expansions of bilinear finite element have the accuracy of O(h3) for u ∈ H3. Based on the obtained asymptotic error expansions for linear finite elements,extrapolation cascadic multigrid method(EXCMG) can be used to solve Robin problems effectively. Furthermore,by virtue of Richardson not only the accuracy of the approximation is improved,but also a posteriori error estimation is obtained. Finally,some numerical experiments that confirm the theoretical analysis are presented." @default.
- W3146985461 created "2021-04-13" @default.
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- W3146985461 date "2014-01-01" @default.
- W3146985461 modified "2023-09-26" @default.
- W3146985461 title "Asymptotic expansions of finite element solutions to Robin problems in H~3 and their application in extrapolation cascadic multigrid method" @default.
- W3146985461 hasPublicationYear "2014" @default.
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