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P1 -nonconforming Quadrilateral Fnite Volume Methods for the Semilinear Elliptic Equations

Author: LiRongFei
Tutor: FengXinLong
School: Xinjiang University
Course: Computational Mathematics
Keywords: Semilinear elliptic equations Finite volume method Nonconforming Quadrilateral Element P1 Coordination Q1 quadrilateral element Superconvergent
CLC: O241.82
Type: Master's thesis
Year: 2011
Downloads: 8
Quote: 0
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Abstract


This article will interpolation coefficient method and the finite volume method for solving a class of semi combining linear elliptic equations . Firstly, the nonconforming quadrilateral element interpolation coefficients P1 finite volume method , taking into account both the dual quadrilateral mesh subdivision , they are non-overlapping dual subdivisions and overlapping dual subdivisions followed the continuity argument method were obtained using quadrilateral mesh of the method based on the H1 norm achieve the optimal order of convergence based on a rectangular grid point by point the gradient method error with ultra convergence. Finally numerical experiments verify the theoretical results of numerical experiments show that the grid based on the nonconforming quadrilateral element interpolation coefficients P1 finite volume method in the L2 norm is also a good order of convergence with coordination Q1 quadrilateral finite element method and finite volume method , compared Nonconforming quadrilateral Element P1 finite volume scheme calculation is simple and easy to implement , and high efficiency .

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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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