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Finite Element Methods for One Dimensional Nonlinear Parabolic Problems with Singularities

Author: LiShuHua
Tutor: LiDeMao
School: Inner Mongolia University
Course: Computational Mathematics
Keywords: Nonlinear singular parabolic problems Abstract plus Sobolve space Weighted L2 estimates Weighted Norm Estimates of H ~ 1 L2 Norm Estimates L_ ∞ Norm Estimates
CLC: O241.82
Type: Master's thesis
Year: 2005
Downloads: 30
Quote: 3
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Abstract


With singular coefficient elliptic , parabolic partial differential equations to calculate mathematical workers who take advantage of symmetric finite element asymmetric finite element method for the in-depth research , and get a series of good results . In this paper, we consider the singular parabolic in a class of one-dimensional nonlinear finite element method . Firstly, the definition of weighted Sobolev spaces to prove the existence and uniqueness of weak solutions of the corresponding variational problem ; the the Secondly semi - discrete solution weighted L of 2 < / sub> mold and weighted H 1 mold estimated , L 2 mode estimates and L mold estimated ; Finally, the weighted discrete solution L 2 < / sub > mode estimated .

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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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