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| Petrov-Galerkin Spectral Element Method for Mixed Inhomogeneous Boundary Value Problems on Polygons |
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Citation： |
Hongli JIA,Benyu GUO.Petrov-Galerkin Spectral Element Method for Mixed Inhomogeneous Boundary Value Problems on Polygons[J].Chinese Annals of Mathematics B,2010,31(6):855~878 |
| Page view： 1918
Net amount： 1102 |
Authors： |
Hongli JIA; Benyu GUO; |
Foundation： |
the National Natural Science Foundation of China (No. 10871131), the Fund for
Doctoral Authority of China (No. 200802700001), the Shanghai Leading Academic Discipline Project
(No. S30405) and the Fund for E-institutes of Shanghai Universities (No. E03004). |
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| Abstract： |
The authors investigate Petrov-Galerkin spectral element method. Some results
on Legendre irrational quasi-orthogonal approximations are established, which play important
roles in Petrov-Galerkin spectral element method for mixed inhomogeneous boundary
value problems of partial differential equations defined on polygons. As examples of applications,
spectral element methods for two model problems, with the spectral accuracy
in certain Jacobi weighted Sobolev spaces, are proposed. The techniques developed in this
paper are also applicable to other higher order methods. |
Keywords： |
Legendre quasi-orthogonal approximation, Petrov-Galerkin spectral
element method, Mixed inhomogeneous boundary value problems |
Classification： |
65N35, 41A05, 41A10, 35J25 |
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