Penalty Robin-Robin domain decomposition schemes for contact problems of nonlinear elastic bodies

TL;DR

This paper introduces domain decomposition methods for solving complex contact problems in nonlinear elasticity, providing theoretical convergence results for these approaches.

Contribution

It proposes new continuous-level domain decomposition schemes specifically designed for unilateral and multibody contact problems in nonlinear elasticity.

Findings

Proposed methods effectively handle unilateral contact constraints.

Theoretical convergence theorems established for the new schemes.

Applicable to complex nonlinear elastic contact scenarios.

Abstract

In this paper we propose on continuous level several domain decomposition methods to solve unilateral and ideal multibody contact problems of nonlinear elasticity. We also present theorems about convergence of these methods.