On stability and reflection-transmission analysis of the bipenalty method in contact-impact problems: a one-dimensional, homogeneous case study

DOI10.1002/nme.5712zbMath1548.74479MaRDI QIDQ6557618

Radek Kolman, Manfred Bischoff, Jiří Plešek, Dušan Gabriel, J. Kopačka, Anton Tkachuk

Publication date: 18 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

stability analysis finite element method penalty method explicit time integration bipenalty method reflection-transmission analysis

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Impact in solid mechanics (74M20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

This page was built for publication: On stability and reflection-transmission analysis of the bipenalty method in contact-impact problems: a one-dimensional, homogeneous case study