Premium
Time‐adaptive computations for the mortar finite element method
Author(s) -
Grafenhorst Matthias,
Hartmann Stefan
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900019
Subject(s) - finite element method , discretization , lagrange multiplier , mortar methods , computation , mortar , mathematics , deformation (meteorology) , runge–kutta methods , mathematical analysis , mixed finite element method , computer science , differential equation , mathematical optimization , structural engineering , algorithm , materials science , engineering , composite material
In recent years, mortar finite element methods have been successfully applied as space discretization scheme to a wide range of contact problems. The finite deformation contact formulation taken up is based on a mortar approach using so‐called dual Lagrange multipliers. If the constitutive models of the material bodies are of rate‐type, the entire system of equations represents a non‐smooth system of differential‐algebraic equations. This system will be investigated in connection with higher‐order time integration methods using diagonally implicit Runge‐Kutta methods.