Convergence of a Contact-Neumann Iteration for the Solution of Two-Body Contact Problems-Reference-Cited by-同舟云学术

Convergence of a Contact-Neumann Iteration for the Solution of Two-Body Contact Problems

Published:2003-08 Issue:08 Volume:13 Page:1103-1118
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Eck C.¹,Wohlmuth B.²

Affiliation:

1. Institute for Applied Mathematics, University of Erlangen, Martensstr. 3, 91058 Erlangen, Germany

2. Institute for Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany

Abstract

We study an iteration for the solution of two-body contact problems without friction based on one-sided contact problems for one body and Neumann problems for the other one. The convergence of this iteration is proved in the continuous setting by reformulating it as a fixed point iteration for a contractive operator. In addition, the application of the method with mortar finite elements is discussed, and the convergence of the corresponding discrete iteration is verified.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202503002830

Reference30 articles.

1. Stability and patch test performance of contact discretizations and a new solution algorithm

2. Algorithme de Neumann–Dirichlet pour des problèmes de contact unilatéral : Résultat de convergence

3. Domain Decomposition by the Mortar Element Method

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