A globally convergent filter-trust-region method for large deformation contact problems

Research output: Contribution to journalResearch articleContributedpeer-review



We present a globally convergent method for the solution of frictionless large deformation contact problems for hyperelastic materials. The discretization uses the mortar method which is known to be more stable than node-to-segment approaches. The resulting nonconvex constrained minimization problems are solved using a filter--trust-region scheme, and we prove global convergence towards first-order optimal points. The constrained Newton problems are solved robustly and efficiently using a truncated nonsmooth Newton multigrid method with a monotone multigrid linear correction step. For this we introduce a cheap basis transformation that decouples the contact constraints. Numerical experiments confirm the stability and efficiency of our approach.


Original languageEnglish
Pages (from-to)B114-B138
JournalSIAM Journal of Scientific Computing
Issue number1
Publication statusPublished - 2019

External IDs

researchoutputwizard legacy.publication#87902
Scopus 85062977670
ArXiv 1708.01455
ORCID /0000-0003-1093-6374/work/142250563



  • contact problem, finite-strain, filter, trust-region, multigrid