Use of fast direct methods for mildly nonlinear elliptic difference equations

DOI10.1007/BF02575766zbMath0537.65069MaRDI QIDQ792746

Maria Antonietta Pirozzi, Almerico Murli

Publication date: 1982

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

comparisonconvergencenumerical examplesnonlinear Poisson equationdouble-sweep methodfast direct methodsmodified Picard iteration

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• Unnamed Item
• Solving elliptic boundary value problems by double sweep method
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Direct methods for the solution of the discrete Poisson equation: some comparisons
• On the two-stage iterative method of Douglas for mildly non-linear elliptic difference equations
• Mildly nonlinear elliptic partial differential equations and their numerical solution. I
• Mildly nonlinear elliptic partial differential equations and their numerical solution. II
• Alternating direction iteration for mildly nonlinear elliptic difference equations
• A direct Method for the Discrete Solution of Separable Elliptic Equations
• The Direct Solution of the Discrete Poisson Equation in $O(N^2 )$ Operations
• Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case
• Marching Algorithms for Elliptic Boundary Value Problems. II: The Variable Coefficient Case
• A Factorization Procedure for the Solution of Elliptic Difference Equations
• The Direct Solution of the Discrete Poisson Equation on a Rectangle

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