Numerical solution of non-linear elliptic boundary-value problems by isomorphic iterative methods

DOI10.1080/00207168608803548zbMath0654.65078OpenAlexW2069309083MaRDI QIDQ3801020

David J. Evans, Elias A. Lipitakis

Publication date: 1986

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168608803548

zbMATH Keywords

preconditioningimplicit iterative methods3D non-linear boundary-value problemsIsomorphic iterative schemes

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Explicit approximate inverse preconditioning techniques ⋮ Explicit isomorphic iterative methods for solving arrow-type linear systems ⋮ Explicit preconditioned conjugate gradient schemes for solving biharmonic equations

Cites Work

• Solving non-linear elliptic difference equations by extendable sparse factorization procedures
• The rate of convergence of an approximate matrix factorization semi- direct method
• A normalized implicit conjugate gradient method for the solution of large sparse systems of linear equations
• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
• A Factorization Procedure for the Solution of Elliptic Difference Equations
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations
• ROUNDING-OFF ERRORS IN MATRIX PROCESSES

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