Janssen, Jan and Vandewalle, Stefan (1996) Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case. SIAM Journal on Scientific Computing, 17 (1). pp. 133-155. ISSN 1064-8275. http://resolver.caltech.edu/CaltechAUTHORS:JANsiamjsc96
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The efficiency of numerically solving time-dependent partial differential equations on parallel computers can be greatly improved by computing the solution on many time levels simultaneously. The theoretical properties of one such method, namely the discrete-time multigrid waveform relaxation method, are investigated for systems of ordinary differential equations obtained by spatial finite-element discretisation of linear parabolic initial-boundary value problems. The results are compared to the corresponding continuous-time results. The theory is illustrated for a one-dimensional and a two-dimensional model problem and checked against results obtained by numerical experiments.
|Additional Information:||©1996 Society for Industrial and Applied Mathematics. Reprinted with permission. Received by the editors May 20, 1994; accepted for publication (in revised form) March 1, 1995. This text presents research results of the Belgian Incentive Program "Information Technology"---Computer Science of the Future, initiated by the Belgian State-Prime Minister’s Office for Science, Technology and Culture. The scientific responsibility is assumed by its authors. This work was supported in pan by the NSF under Cooperative Agreement No, CCR-9120008.|
|Subject Keywords:||parabolic partial differential equations; waveform relaxation; multigrid; linear multistep methods|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||18 Dec 2007|
|Last Modified:||26 Dec 2012 09:48|
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