Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term

DOI10.1007/S10915-015-0004-9zbMath1328.65209OpenAlexW2112401433MaRDI QIDQ897134

Morrakot Khebchareon, Amiya K. Pani, Graeme Fairweather

Publication date: 17 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-015-0004-9

zbMATH Keywords

optimal error estimatesalternating direction implicit methodsfinite element Galerkin methodpartial integrodifferential equationpositive-type memory termsmooth and nonsmooth kernels

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

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• Alternating Direction Multistep Methods for Parabolic Problems–Iterative Stabilization
• Finite Element Methods for Integrodifferential Equations
• Numerical solution of an evolution equation with a positive-type memory term
• Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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