Title

Waveform Relaxation Techniques For Linear And Nonlinear Diffusion Equations

Keywords

multirate behavior; Nonlinear diffusion; spatial blocking; waveform relaxation.

Abstract

A recent class of multirate numerical algorithms, collectively referred to as waveform relaxation methods, is applied to the one-dimensional diffusion equation. The methods decouple different parts or blocks of the system in the time domain, effectively allowing each block to take the largest time-step consistent with its accuracy requirements. Significant speedup is obtained over the results using a composite Crank-Nicholson/ second-order backward Euler time-stepping scheme. Possible implementation strategies for the waveform relaxation schemes to the diffusion equation in two dimensions are considered briefly. © 1992.

Publication Date

10-12-1992

Publication Title

Journal of Computational and Applied Mathematics

Volume

42

Issue

2

Number of Pages

253-267

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0377-0427(92)90079-D

Socpus ID

0026933128 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0026933128

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