The Convergence of the H-P Version of the Finite Element Method with Quasi-Uniform Meshes for Three Dimensional Poisson Problems with Edge Singularity
2014 ◽
Vol 644-650
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pp. 1551-1555
Keyword(s):
This paper is concerned with the convergence of the h-p version of the finite element method for three dimensional Poisson problems with edge singularity on quasi-uniform meshes. First, we present the theoretical results for the convergence of the h-p version of the finite element method with quasi-uniform meshes for elliptic problems on polyhedral domains on smooth functions in the framework of Jacobi-weighted Sobolev spaces. Second, we investigate and analyze numerical results for three dimensional Poission problems with edge singularity. Finally, we verified the theoretical predictions by the numerical computation.
1999 ◽
Vol 429
(1-3)
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pp. 414-418
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1984 ◽
Vol 26
(9-10)
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pp. 515-525
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Keyword(s):
1999 ◽
Vol 9
(2)
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pp. 240-243
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2014 ◽
Vol 135
(4)
◽
pp. 2428-2428
Keyword(s):