1D-grid generation by monotone iteration discretization

DOI10.1007/BF02241656zbMath0693.65053OpenAlexW186203415MaRDI QIDQ908665

M. A. Al-Zanaidi, Christian Grossmann

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02241656

zbMATH Keywords

algorithmconvergencelower and upper solutionsmonotone iterationsweakly nonlinearmonotone discretizationfeedback grid generation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• Feedback and adaptive finite element solution of one-dimensional boundary value problems
• An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type
• Monotone iteration descretization algorithm for BVP's
• Nichtäquidistante Diskretisierungen von Randwertaufgaben
• Adaptive Approximation
• Feedback Grid Generation via Monotone Discretization for Two-point Boundary-Value Problems
• On a Theory of Mesh-Refinement Processes
• Elliptic Partial Differential Equations of Second Order
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