Geodesic
Convenient system of FEM test functions for computational fluid dynamics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1961-1972

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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. 
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     author = {S. E. Zakiev and L. P. Kholpanov},
     title = {Convenient system of {FEM} test functions for computational fluid dynamics},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {50},
     number = {11},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a9/}
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S. E. Zakiev; L. P. Kholpanov. Convenient system of FEM test functions for computational fluid dynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1961-1972. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a9/