Results 181 to 190 of about 6,260 (222)
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Multigrid Methods for Differential Eigenproblems
SIAM Journal on Scientific and Statistical Computing, 1983This paper develops an efficient multigrid algorithm for solving the eigenvalue problem associated with a linear differential operator. The algorithm is based on the full approximation scheme (FAS) and incorporates a Ritz projection process for simultaneous computation of several eigenvalues and their eigenvectors.
Brandt, A., McCormick, S., Ruge, J.
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On MGR$[\nu ]$ Multigrid Methods
SIAM Journal on Numerical Analysis, 1987Zur Lösung der Diffusionsgleichung \(-\nabla \cdot p(x,y)\nabla u=f\) in \(\Omega\), \(u=0\) auf \(\partial \Omega\) unter der Voraussetzung p(x,y)\(\geq p_ 0>0\) in einem Gebiet \(\Omega\), welches beschränkt und stückweise glatt berandet oder polygonal mit Seitensteigungen \(\pm 1\), 0 oder \(\infty\) ist, wird die Fünf-Punkte ...
Kamowitz, David, Parter, Seymour V.
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SCHWARZ ALTERNATING METHOD AND MULTIGRID METHOD
Acta Mathematica Scientia, 1987The author considers asynchronous parallel algorithms which arise from two different combinations of the Schwarz alternating method with the multigrid method: In the first approach the original problem, the variational problem find \(u\in H\) \(1_ 0(\Omega)\) such that \(a(u,v)=(f,v)\) for all \(v\in H\) \(1_ 0(\Omega)\) is divided into p related ...
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The time‐parallel multigrid method
Communications in Applied Numerical Methods, 1992AbstractWe consider the problem of solving time‐dependent partial differential equations on an MIMD computer. Conventional methods for the solution of this type of equation when discretized by an implicit method such as backward Euler proceed by solving a sequence of problems iteratively. It is shown that, despite the sequential nature of this process,
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A monotone including multigrid-method
Computing, 1990The author presents the monotone including multigrid algorithm MMG2 for solving weakly nonlinear elliptic boundary value problems of the form \(Lu=f(x,u),\quad x\in \Omega,\) \(u=0,\quad x\in \partial \Omega,\) where \(\Omega \subset R^ 2\) is an open domain with sufficiently smooth boundary, L is a uniformly strong elliptic differential operator of ...
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Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation
Journal of Computational and Applied Mathematics, 2022Tao Liu
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