Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method
We propose the characteristics-mixed method for approximating the solution to a convection-dominated transport problem. The new method is a combination of characteristic approximation to handle the convection part in time and a mixed finite element spatial approximation to deal with the diffusion pa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/264025 |
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| _version_ | 1832559749925699584 |
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| author | Peixin Zhao Hongying Man |
| author_facet | Peixin Zhao Hongying Man |
| author_sort | Peixin Zhao |
| collection | DOAJ |
| description | We propose the
characteristics-mixed method for approximating the solution to a
convection-dominated transport problem. The new method is a
combination of characteristic approximation to handle the convection
part in time and a mixed finite element spatial approximation to
deal with the diffusion part. Boundary conditions are incorporated
in a natural fashion. The scheme is locally conservative since fluid
is transported along the approximate characteristics on the discrete
level and the test function can be piecewise constant. Analysis shows
that the scheme has much smaller time-truncation errors than those
of standard methods. |
| format | Article |
| id | doaj-art-2e52687c375e4e6b8987e8ecd6382b6f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2e52687c375e4e6b8987e8ecd6382b6f2025-02-03T01:29:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/264025264025Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element MethodPeixin Zhao0Hongying Man1School of Management, Shandong University, Jinan, Shandong 250100, ChinaDepartment of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaWe propose the characteristics-mixed method for approximating the solution to a convection-dominated transport problem. The new method is a combination of characteristic approximation to handle the convection part in time and a mixed finite element spatial approximation to deal with the diffusion part. Boundary conditions are incorporated in a natural fashion. The scheme is locally conservative since fluid is transported along the approximate characteristics on the discrete level and the test function can be piecewise constant. Analysis shows that the scheme has much smaller time-truncation errors than those of standard methods.http://dx.doi.org/10.1155/2013/264025 |
| spellingShingle | Peixin Zhao Hongying Man Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method Discrete Dynamics in Nature and Society |
| title | Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method |
| title_full | Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method |
| title_fullStr | Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method |
| title_full_unstemmed | Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method |
| title_short | Quasi-Linear Convection-Dominated Transport Problem Based on Characteristics-Mixed Finite Element Method |
| title_sort | quasi linear convection dominated transport problem based on characteristics mixed finite element method |
| url | http://dx.doi.org/10.1155/2013/264025 |
| work_keys_str_mv | AT peixinzhao quasilinearconvectiondominatedtransportproblembasedoncharacteristicsmixedfiniteelementmethod AT hongyingman quasilinearconvectiondominatedtransportproblembasedoncharacteristicsmixedfiniteelementmethod |