On long time integration of the heat equation

DOI10.1007/s10092-014-0133-9zbMath1339.65187OpenAlexW2060219309MaRDI QIDQ260131

Roman Andreev

Publication date: 18 March 2016

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-014-0133-9

zbMATH Keywords

stabilityconvergencecollocation methodheat equationLaguerre polynomialslong-time

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

A space-time variational method for optimal control problems: well-posedness, stability and numerical solution ⋮ Space-time finite element methods stabilized using bubble function spaces ⋮ Numerical solution of parabolic problems based on a weak space-time formulation ⋮ A time finite element method for structural dynamics

Uses Software

• spacetime
• OPQ

Cites Work

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• Space-time discretization of the heat equation
• Numerical integration based on Laguerre-Gauss interpolation
• Some observations on Babuška and Brezzi theories
• On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces
• Error-bounds for finite element method
• Space-time adaptive wavelet methods for parabolic evolution problems
• The h-p version of the finite element method for parabolic equations. Part I. The p-version in time
• Stability of sparse space-time finite element discretizations of linear parabolic evolution equations

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