Numerical solution of nonlinear differential boundary value problems using adaptive non-overlapping domain decomposition method

This work aims is to study a nonlinear second-order boundary value differential elliptic problem in one dimension where the nonlinearity concerns the solution and its first derivative. We assume that the source term can be non-smooth and the nonlinearity can grow faster than quadratic. First, we sho...

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Bibliographic Details
Published in:	Applicable analysis Vol. 101; no. 6; pp. 2044 - 2065
Main Authors:	Naceur, Nahed, Khenissi, Moez, Roche, Jean R.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 13.04.2022 Taylor & Francis Ltd
Subjects:	Algorithms Analysis of PDEs Approximation Boundary value problems Decomposition domain decomposition Domain decomposition methods finite elements Iterative methods Mathematics Newton methods Nonlinear equations Nonlinear ODE's nonlinear PDE's Nonlinearity Numerical Analysis Numerical methods variational method nonlinear PDE's Nonlinear ODE's variational method domain decomposition finite elements
ISSN:	0003-6811, 1563-504X
Online Access:	Get full text
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