A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow
We present and study a stabilized mixed finite element method for single-phase compressible flow through porous media. This method is based on a pressure projection stabilization method for multiple-dimensional incompressible flow problems by using the lowest equal-order pair for velocity and pressu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/129724 |
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| _version_ | 1832545970932416512 |
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| author | Liyun Zhang Zhangxin Chen |
| author_facet | Liyun Zhang Zhangxin Chen |
| author_sort | Liyun Zhang |
| collection | DOAJ |
| description | We present and study a stabilized mixed finite element
method for single-phase compressible flow through porous media. This
method is based on a pressure projection stabilization method for multiple-dimensional incompressible flow problems by using the lowest equal-order
pair for velocity and pressure (i.e., the P1−P1 pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimates
in the L2-norm for both velocity and pressure are obtained. Numerical
results are given in support of the developed theory. |
| format | Article |
| id | doaj-art-1aa2736241ee47c79daecc2fd02f2d18 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1aa2736241ee47c79daecc2fd02f2d182025-02-03T07:24:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/129724129724A Stabilized Mixed Finite Element Method for Single-Phase Compressible FlowLiyun Zhang0Zhangxin Chen1School of Science, Xi'an Jiaotong University, Xi'an 710049, ChinaCenter for Computational Geosciences, Xi'an Jiaotong University, Xi'an 710049, ChinaWe present and study a stabilized mixed finite element method for single-phase compressible flow through porous media. This method is based on a pressure projection stabilization method for multiple-dimensional incompressible flow problems by using the lowest equal-order pair for velocity and pressure (i.e., the P1−P1 pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimates in the L2-norm for both velocity and pressure are obtained. Numerical results are given in support of the developed theory.http://dx.doi.org/10.1155/2011/129724 |
| spellingShingle | Liyun Zhang Zhangxin Chen A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow Journal of Applied Mathematics |
| title | A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow |
| title_full | A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow |
| title_fullStr | A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow |
| title_full_unstemmed | A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow |
| title_short | A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow |
| title_sort | stabilized mixed finite element method for single phase compressible flow |
| url | http://dx.doi.org/10.1155/2011/129724 |
| work_keys_str_mv | AT liyunzhang astabilizedmixedfiniteelementmethodforsinglephasecompressibleflow AT zhangxinchen astabilizedmixedfiniteelementmethodforsinglephasecompressibleflow AT liyunzhang stabilizedmixedfiniteelementmethodforsinglephasecompressibleflow AT zhangxinchen stabilizedmixedfiniteelementmethodforsinglephasecompressibleflow |