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Unstructured quadrilateral finite element equation quadratic Lagrangian algebraic multigrid method

Author: LiuXuan
Tutor: ShuShi
School: Xiangtan University
Course: Computational Mathematics
Keywords: Algebraic Multigrid Quadrilateral mesh Quadratic Lagrangian finite element
CLC: O241.82
Type: Master's thesis
Year: 2005
Downloads: 110
Quote: 0
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Abstract


In this paper, a class of two-dimensional with discontinuous coefficients elliptic boundary value problems in unstructured quadrilateral mesh , respectively, discussed two quadratic Lagrangian finite element ( 8-node node and $ 9 million ) algebraic equations multigrid method, By using bilinear element and the second element basis functions represent relationships between algebra , and after careful analysis , we give a new upscaling algorithm and construct ways to enhance the operator algebra . Further, we theoretically proved that the new AMG method is convergent in nature. Numerical experiments show that : the new AMG method is more efficient in operation and stability are superior to conventional AMG method .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
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