Optimized Overlapping Schwarz Waveform Relaxation for a Class of Time-Fractional Diffusion Problems
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DOI: 10.1007/s10915-017-0379-x
Abstract: For parabolic PDEs with integer-order temporal derivative, if we use the Schwarz waveform relaxation (SWR) algorithm with Robin transmission conditions as the solver, the so-called equioscillation principle is an important concept to get a good… read more here.
Keywords: fractional diffusion; time fractional; time; waveform relaxation ... See more keywords
Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations
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DOI: 10.1080/00207160.2020.1759803
Abstract: Waveform relaxation method at the PDE level can simplify the original differential system by several decoupling approaches, which is very useful for the iterative solution of nonlinear differential equations. In this paper, the convergence of… read more here.
Keywords: relaxation; convergence results; quasilinear parabolic; waveform relaxation ... See more keywords