A variable multi-step method for transient heat conduction

DOI10.1016/0045-7825(91)90138-VzbMath0763.65074OpenAlexW1989553411MaRDI QIDQ1205094

Patrick Smolinski

Publication date: 1 April 1993

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(91)90138-v

zbMATH Keywords

stabilitysystemsnumerical experimentsexplicit multistep methodheat conduction equationsnodal partition

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (5)

A simple time‐step control scheme ⋮ Multi-time-step domain decomposition and coupling methods for nonlinear parabolic problems ⋮ An optimally-coupled multi-time stepping method for transient heat conduction simulation for additive manufacturing ⋮ A FETI-based mixed explicit-implicit multi-time-step method for parabolic problems ⋮ A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems

Cites Work

• Variable explicit finite element methods for unsteady heat conduction equations
• Stability of multi-time step partitioned transient analysis for first- order systems of equations
• Multi-time-step integration using nodal partitioning
• Implicit-Explicit Finite Elements in Transient Analysis: Implementation and Numerical Examples
• Stability of explicit‐implicit mesh partitions in time integration
• Engineering applications of numerical integration in stiffness methods.
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