Stability of multi-time step partitioned transient analysis for first- order systems of equations

DOI10.1016/0045-7825(87)90008-9zbMath0636.65071OpenAlexW2090599493MaRDI QIDQ1098242

Wing Kam Liu, Patrick Smolinski, Ted Beltytschko

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90008-9

zbMATH Keywords

stabilitynumerical examplesoperator splittingfractional stepstime-integrationtime-stepping methodsfinite-element spatial discretization

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

A time-staggered partitioned coupling algorithm for transient heat conduction, Stability analysis of a multi-time step explicit integration method, Stability of variable explicit time integration for unsteady diffusion problems, An explicit multi-time step integration method for second order equations, A variable multi-step method for transient heat conduction, Coupling subdomains with heterogeneous time integrators and incompatible time steps, Transient thermal stresses of work roll by coupled thermoelasticity

Cites Work

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• Stability of explicit‐implicit mesh partitions in time integration
• Engineering applications of numerical integration in stiffness methods.