Convergence of linear and nonlinear Neumann–Neumann method for the Cahn–Hilliard equation

In this paper, we propose and analyze a non-overlapping substructuring type algorithm for the Cahn–Hilliard equation. Being a nonlinear equation, it is of great importance to develop a robust numerical method for investigating the solution behaviour of the CH equation. We present the formulation of...

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Bibliographic Details
Published in:	Japan journal of industrial and applied mathematics Vol. 41; no. 1; pp. 211 - 232
Main Author:	Garai, Gobinda
Format:	Journal Article
Language:	English
Published:	Tokyo Springer Japan 01.01.2024 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Approximation Boundary conditions Computational Mathematics and Numerical Analysis Convergence Decomposition Energy Mathematics Mathematics and Statistics Nonlinear equations Nonlinearity Numerical methods Original Paper 65M15 Neumann–Neumann Parallel computing 65M55 Domain decomposition 65Y05 Cahn–Hilliard equation
ISSN:	0916-7005, 1868-937X
Online Access:	Get full text
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