Adaptive techniques for time-dependent problems

DOI10.1016/0045-7825(92)90018-FzbMath0788.65096OpenAlexW2028212735MaRDI QIDQ686935

Raytcho D. Lazarov, Richard E. Ewing, A. T. Vassilev

Publication date: 17 October 1993

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(92)90018-f

zbMATH Keywords

numerical experimentsunconditional stabilityerror boundssuperconvergencedifference schemesimplicit Euler methodCrank-Nicolson methodadaptive grid refinementheat conduction problemstep size reduction

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

Approximation of parabolic problems on grids locally refined in time and space ⋮ Reliable and efficient error control for an adaptive Galerkin-characteristic method for convection-dominated diffusion problems ⋮ Error estimates and adaptive finite element methods ⋮ Interpolation finite difference schemes on grids locally refined in time

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