| SOME ESTIMATES WITH NONCONFORMING ELEMENTS IN DOMAIN DECOMPOSITION ANALYSIS |
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| 作者单位： | Jin-sheng Gu(Department of mathematics，Capital Normal University，Beliing，China)Xian-cheng Hu (Department of APPlied Mathematics，Tsinghua University，Beijing，China) |
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| 摘 要： | 1.IntroductionFOrsimplicityoftheexposition,weconsidertheellipticboundaryvalueproblemonaboundedopenpolygonaldomainfiCEZwhereItiswell--knownthat(1.1)hasauniquesolutionueH'(fl)(of.[7,15,16]).Supposethatfib~{e}isaquajsi--uniformmeshoffi,i.e.,fibsatisfieswhere…
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SOME ESTIMATES WITH NONCONFORMING ELEMENTS IN DOMAIN DECOMPOSITION ANALYSIS |
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| Jin-sheng Gu. SOME ESTIMATES WITH NONCONFORMING ELEMENTS IN DOMAIN DECOMPOSITION ANALYSIS[J]. Journal of Computational Mathematics, 1998, 0(1) |
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| Authors: | Jin-sheng Gu |
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| Abstract: | Some essential estimates, especially the so-called extension theorems, are established in this paper, for the nonconforming finite elements with their continuity at the venices or the edge midpoints of the elements of the quasi-uniform mesh. As in the conforming discrete cases, these estimates play key roles in the theoretical analysis of the nonoverlap domain decomposition methods for the solving of second order self--adjoint elliptic problems discretized by the nonconforming finite element methods. |
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| Keywords: | Nonconforming finite element extension theorem domain decomposition elliptic problem. |
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