A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation

DOI10.1515/ijnsns-2015-0156zbMath1401.65107OpenAlexW2582079865WikidataQ115236247 ScholiaQ115236247MaRDI QIDQ1662133

Y. Aharonov

Publication date: 17 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2015-0156

zbMATH Keywords

maximum principlesingularly perturbed problemsTaylor Galerkin methodmonotone Schwarz iterative method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Semilinear parabolic equations (35K58)

Related Items (5)

Almost second-order uniformly convergent numerical method for singularly perturbed convection–diffusion–reaction equations with delay ⋮ An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag ⋮ Weighted variable based numerical scheme for time-lagged semilinear parabolic problems including small parameter ⋮ Finite element methods: research in India over the last decade ⋮ An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time

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