Asymptotisch optimale Relaxationsparameter bei nichtlinearen SOR- Verfahren (Newton-SOR-Verfahren)

DOI10.1007/BF02237951zbMath0451.65037OpenAlexW26278784MaRDI QIDQ1148102

K. Merten

Publication date: 1981

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02237951

zbMATH Keywords

finite element methodnonlinear boundary value problemsasymptotic optimal relaxation parametersNewton-SOR-methodsnonlinear SOR-methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• Iterative Lösung nichtlinearer Gleichungssysteme und Diskretisierungsverfahren bei elliptischen Differentialgleichungen
• Estimation of the Relaxation Factor for Small Mesh Size
• Zur verallgemeinerten Iteration in Einzelschritten beim Mehrstellenverfahren
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