An Interval Arithmetic Approach for the Construction of an Almost Globally Convergent Method for the Solution of the Nonlinear Poisson Equation on the Unit Square

DOI10.1137/0905032zbMath0539.65076OpenAlexW2041528912MaRDI QIDQ3326780

Hartmut Schwandt

Publication date: 1984

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0905032

zbMATH Keywords

global convergenceconjugate gradient methodinterval arithmeticnonlinear Poisson equationNewton-like methodsfast Poisson solvers

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Interval and finite arithmetic (65G30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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