A new impedance accounting for short‐ and long‐range effects in mixed substructured formulations of nonlinear problems. (26th March 2018)

• Record Type: Journal Article
• Authors: Negrello, Camille; Gosselet, Pierre; Rey, Christian
• Is Part Of: International journal for numerical methods in engineering. Volume 114:Number 7(2018)
• Page Start: 675
• Page End: 693
• Publication Date: 2018-03-26
• Subjects: domain decomposition -- interface impedance -- nonlinear mechanics -- parallel processing -- Robin boundary conditions; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.5758
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: An efficient method for solving large nonlinear problems combines Newton solvers and domain decomposition methods. In the domain decomposition method framework, the boundary conditions can be chosen to be primal, dual, or mixed. The mixed approach presents the advantage to be eligible for the research of an optimal interface parameter (often called impedance), which can increase the convergence rate. The optimal value for this parameter is usually too expensive to be computed exactly in practice: An approximate version has to be sought, along with a compromise between efficiency and computational cost. In the context of parallel algorithms for solving nonlinear structural mechanical problems, we propose a new heuristic for the impedance, which combines short‐ and long‐range effects at a low computational cost.