Convenient system of FEM test functions for computational fluid dynamics
For the development of finite element schemes, a fundamentally new system of test functions defined on a finite element that is a convex quadrilateral is proposed. Due to the remarkable properties of the system (specifically, mutual orthogonality), the resulting matrices can be simplified and the co...
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| Veröffentlicht in: | Computational mathematics and mathematical physics 2010-11, Vol.50 (11), p.1859-1870 |
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| container_title | Computational mathematics and mathematical physics |
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| creator | Zakiev, S. E. Kholpanov, L. P. |
| description | For the development of finite element schemes, a fundamentally new system of test functions defined on a finite element that is a convex quadrilateral is proposed. Due to the remarkable properties of the system (specifically, mutual orthogonality), the resulting matrices can be simplified and the corresponding construction procedures can be made more transparent, especially for problems in computational fluid dynamics. Thus, the system of test functions may play an important role in finite element methods as applied to two-dimensional problems. |
| doi_str_mv | 10.1134/S0965542510110102 |
| format | Article |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Computational fluid dynamics Computational mathematics Computational Mathematics and Numerical Analysis Construction specifications Dynamical systems Dynamics Finite element analysis Finite element method Fluid dynamics Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Orthogonality Physics Studies |
| title | Convenient system of FEM test functions for computational fluid dynamics |
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