3 papers
math.NA2021
Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning
Faycal Chaouqui, Martin J. Gander, Pratik M. Kumbhar +1
Substructured domain decomposition (DD) methods have been extensively studied, and they are usually associated with nonoverlapping decompositions. We introduce here a substructured…
math.NA2021
On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method
Faycal Chaouqui, Martin J. Gander, Pratik M. Kumbhar +1
The Dirichlet-Neumann (DN) method has been extensively studied for linear partial differential equations, while little attention has been devoted to the nonlinear case. In this pap…
math.NA2020
Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits
Martin J. Gander, Pratik M. Kumbhar, Albert E. Ruehli
Waveform relaxation (WR) methods are based on partitioning large circuits into sub-circuits which then are solved separately for multiple time steps in so-called time windows, and…