The computation of transient 2-D eddy current problem by domain decomposition algorithms

DOI10.1016/0895-7177(94)00213-8zbMath0821.65079OpenAlexW2101576490MaRDI QIDQ1804225

J. D. Lavers, Igor P. Boglaev, Vadim V. Sirotkin

Publication date: 30 May 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)00213-8

zbMATH Keywords

convergencedomain decompositionnumerical experimentsparallel computingtime discretizationtransient eddy current problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems ⋮ Finite difference domain decomposition algorithms for a parabolic problem with boundary layers ⋮ The Schwarz alternating method for transient solid dynamics ⋮ The solution of singularly perturbed parabolic problems by parallel algorithms combining Crank-Nicolson scheme and overlapping Schwarz methods ⋮ Solution of a singularly perturbed parabolic problem by domain decomposition with time extrapolation ⋮ Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems

Cites Work

• Iterative domain decomposition algorithms for the solution of 2-D eddy current problem
• Solution of the 2-D eddy current problem via the domain decomposition methods on serial and parallel computers
• Approximate solution of a non-linear boundary value problem with a small parameter for the highest-order differential
• Unnamed Item