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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Veröffentlicht in:	Applicable analysis Jg. 101; H. 6; S. 2044 - 2065
Hauptverfasser:	Naceur, Nahed, Khenissi, Moez, Roche, Jean R.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Abingdon Taylor & Francis 13.04.2022 Taylor & Francis Ltd
Schlagworte:	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-Zugang:	Volltext
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