Normalized implicit methods for the solution of non-linear elliptic boundary value problems

DOI10.1016/0898-1221(81)90039-0zbMath0472.65077OpenAlexW2014118326MaRDI QIDQ1157888

David J. Evans, Elias A. Lipitakis

Publication date: 1981

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(81)90039-0

zbMATH Keywords

conjugate gradient methodNewton methoddifference methodPicard iterationTroesch's problemapproximate normalized factorization techniqueinner-outer iterative schemenormalized implicit methodssimultaneous displacement method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Iterative numerical methods for linear systems (65F10) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

On micromechanical characteristics of the critical state of two-dimensional granular materials ⋮ The use of second degree normalized implicit conjugate gradient methods for solving large sparse systems of linear equations

Cites Work

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• A normalised algorithm for the solution of symmetric general five-term linear systems of semi-bandwidth M
• A normalized implicit conjugate gradient method for the solution of large sparse systems of linear equations
• Monte Carlo path-integral calculations for two-point boundary-value problems
• Discrete invariant imbedding and elliptic boundary-value problems over irregular regions
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A class of first order factorization methods
• Some numerical experiments using Newton's method for nonlinear parabolic and elliptic boundary-value problems
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions

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