An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations

DOI10.1007/s12190-008-0106-8zbMath1156.65108OpenAlexW2067774467MaRDI QIDQ949361

Neela Nataraj, Amiya K. Pani, Debasish Pradhan

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0106-8

zbMATH Keywords

finite element methodfinite difference methodparallel computationimplicit methodnumerical experimentdomain decomposition methoda priori error estimatesparabolic integro-differential equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Parallel numerical computation (65Y05)

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Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains ⋮ Legendre spectral element method for solving Volterra-integro differential equations ⋮ Fully spectral collocation method for nonlinear parabolic partial integro-differential equations ⋮ \textit{A priori} \(L^{\infty}(L^2)\) error estimates for finite element approximations to parabolic integro-differential equations with discontinuous coefficients ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Finite element method for a class of parabolic integro-differential equations with interfaces ⋮ Finite element methods: research in India over the last decade ⋮ Second-order treatment of the interface of domain decomposition method for parabolic problems ⋮ Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis

Cites Work

• Numerical methods for hyperbolic and parabolic integro-differential equations
• Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
• Finite element methods for parabolic and hyperbolic partial integro-differential equations
• Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
• Finite Element Methods for Integrodifferential Equations
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