Implicit co-simulation methods: Stability and convergence analysis for solver coupling approaches with algebraic constraints

• Published in: Zeitschrift für angewandte Mathematik und Mechanik Vol. 96; no. 8; pp. 986 - 1012
• Main Authors: Schweizer, Bernhard, Li, Pu, Lu, Daixing
• Format: Journal Article
• Language: English
• Published: Weinheim Blackwell Publishing Ltd 01.08.2016; Wiley Subscription Services, Inc
• Subjects: 04A25; Algebra; algebraic constraints; Approximation; Co-simulation; Computer simulation; Constraint modelling; Constraints; Convergence; Coupling; Decomposition; Displacement; Eigenvalues; implicit; Mathematical analysis; Mathematical models; Methods; Model testing; Numerical stability; Simulation; solver coupling; Stability; Stability analysis; subcycling; Subsystems; Time integration

The analysis of the numerical stability of co‐simulation methods with algebraic constraints is subject of this manuscript. Three different implicit coupling schemes are investigated. The first method is based on the well‐known Baumgarte stabilization technique. Basis of the second coupling method is...