A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations
A new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient equation and the flux equation are separated fro...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/391372 |
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| author | Yang Liu Hong Li Jinfeng Wang Wei Gao |
| author_facet | Yang Liu Hong Li Jinfeng Wang Wei Gao |
| author_sort | Yang Liu |
| collection | DOAJ |
| description | A new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient equation and the flux equation are separated from its scalar unknown equation. The existence and uniqueness for semidiscrete scheme are proved and error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are provided to confirm our theoretical analysis. |
| format | Article |
| id | doaj-art-1f761675527a46dfb3165a8aa449f694 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1f761675527a46dfb3165a8aa449f6942025-02-03T05:59:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/391372391372A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential EquationsYang Liu0Hong Li1Jinfeng Wang2Wei Gao3School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Hohhot 010070, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaA new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient equation and the flux equation are separated from its scalar unknown equation. The existence and uniqueness for semidiscrete scheme are proved and error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are provided to confirm our theoretical analysis.http://dx.doi.org/10.1155/2012/391372 |
| spellingShingle | Yang Liu Hong Li Jinfeng Wang Wei Gao A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations Journal of Applied Mathematics |
| title | A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations |
| title_full | A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations |
| title_fullStr | A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations |
| title_full_unstemmed | A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations |
| title_short | A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations |
| title_sort | new positive definite expanded mixed finite element method for parabolic integrodifferential equations |
| url | http://dx.doi.org/10.1155/2012/391372 |
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