Tau-lines: A new hybrid approach to the numerical treatment of crack problems based on the Tau method

DOI10.1016/0045-7825(86)90042-3zbMath0576.73095OpenAlexW2043329627MaRDI QIDQ1064857

A. E. M. El Misiery, Eduardo L. Ortiz

Publication date: 1986

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(86)90042-3

zbMATH Keywords

method of linessingular boundary value problemsaccurate approximationdiscretized model of a given partial differential equationhybrid computational techniquemodes I and IIIOrtiz' recursive formulation of the Tau methodsystem of coupled ordinary differential equationsTau-lines

Mathematics Subject Classification ID

Brittle damage (74R05) Numerical and other methods in solid mechanics (74S99) Numerical methods for partial differential equations, boundary value problems (65N99) Method of lines for boundary value problems involving PDEs (65N40) Numerical analysis in abstract spaces (65J99)

Related Items

On the numerical solution of partial differential equations defined on domains limited by curves using segmented forms of the tau-lines method ⋮ The algebraic kernel method for the numerical solution of partial differential equations ⋮ Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method ⋮ A time-splitting tau method for PDE's: a contribution for the spectral \texttt{Tau Toolbox} library ⋮ An Operational Matrix Method for Solving Delay Fredholm and Volterra Integro–Differential Equations ⋮ The automatic solution to systems of ordinary differential equations by the tau method ⋮ Error analysis of the Tau method: Dependence of the approximation error on the choice of perturbation term ⋮ An improved tau method for a class of Sturm-Liouville problems ⋮ Singularities and treatments of elliptic boundary value problems. ⋮ Numerical treatment of moving and free boundary value problems with the tau method

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