Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation

The Dirichlet-Neumann and Neumann-Neumann waveform relaxation methods are nonoverlapping spatial domain decomposition methods to solve evolution problems, while the parareal algorithm is in time parallel fashion. Based on the combinations of these space and time parallel strategies, we present and a...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 86; no. 4; pp. 1685 - 1703
Main Authors:	Song, Bo, Jiang, Yao-Lin, Wang, Xiaolong
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2021 Springer Nature B.V
Subjects:	Algebra Algorithms Approximation Boundary conditions Computer Science Decomposition Dirichlet problem Domain decomposition methods Methods Numeric Computing Numerical Analysis Ordinary differential equations Original Paper Partial differential equations Relaxation method (mathematics) Spacetime Theory of Computation Thermodynamics Waveforms Dirichlet-Neumann method Waveform relaxation Domain decomposition Parareal method Neumann-Neumann method
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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