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P-Continuous Method for P-Laplacian

Author: FengChunSheng
Tutor: HuangYunQing
School: Xiangtan University
Course: Computational Mathematics
Keywords: p-Laplacian equation With the right to pre- condition the steepest descent method The mixed conjugate gradient method Full multigrid method Continuity method
CLC: O241.82
Type: Master's thesis
Year: 2007
Downloads: 14
Quote: 0
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Abstract


This paper studies the large-scale numerical methods for p-Laplacian . P-Laplacian boundary value problem , with the right to pre- condition the steepest descent algorithm based on the introduction of p continuity ideological , designed p - continuity with the right to pre- condition to solve the problem of the steepest descent algorithm ( PSD ) , with the right to the preconditioned steepest decline - conjugate the the gradient mixing algorithm (SDCG) and the corresponding p the continuity algorithm ( PSDCG ) , and in part to prove the convergence . In addition, the combination of these algorithms with nested iteration full multigrid algorithm design . The new algorithm to solve the problem of existing algorithms exist to adapt to a smaller range of p-value , the unstable numerical experiments and computational efficiency is relatively low . Listed in the numerical experiment data p = 10000 when the problem of numerical calculation results similar algorithm can solve the p-value range compared with numerical experiments , the results show that the new algorithm is superior to existing computational efficiency there are algorithms .

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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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