Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium
By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve numerically a kind of anisotropic diffusion models governed by the ellipti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/520404 |
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| _version_ | 1849410664182841344 |
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| author | Zhong-yan Liu Huan-zhen Chen |
| author_facet | Zhong-yan Liu Huan-zhen Chen |
| author_sort | Zhong-yan Liu |
| collection | DOAJ |
| description | By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve numerically a kind of anisotropic diffusion models governed by the elliptic interface problems with discontinuous tensor-conductivity. The existence and uniqueness of the discrete scheme are proved, and an optimal-order energy-norm estimate and L2-norm estimate for the numerical solution are derived. |
| format | Article |
| id | doaj-art-671a4f0450bc4395acdc52b048ae0f94 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-671a4f0450bc4395acdc52b048ae0f942025-08-20T03:35:01ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/520404520404Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous MediumZhong-yan Liu0Huan-zhen Chen1School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, ChinaSchool of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, ChinaBy choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve numerically a kind of anisotropic diffusion models governed by the elliptic interface problems with discontinuous tensor-conductivity. The existence and uniqueness of the discrete scheme are proved, and an optimal-order energy-norm estimate and L2-norm estimate for the numerical solution are derived.http://dx.doi.org/10.1155/2014/520404 |
| spellingShingle | Zhong-yan Liu Huan-zhen Chen Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium Abstract and Applied Analysis |
| title | Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium |
| title_full | Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium |
| title_fullStr | Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium |
| title_full_unstemmed | Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium |
| title_short | Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium |
| title_sort | discontinuous galerkin immersed finite volume element method for anisotropic flow models in porous medium |
| url | http://dx.doi.org/10.1155/2014/520404 |
| work_keys_str_mv | AT zhongyanliu discontinuousgalerkinimmersedfinitevolumeelementmethodforanisotropicflowmodelsinporousmedium AT huanzhenchen discontinuousgalerkinimmersedfinitevolumeelementmethodforanisotropicflowmodelsinporousmedium |