Convergence and stability analyses of multi-time step algorithm for parabolic systems

DOI10.1016/0045-7825(93)90107-9zbMath0772.65063OpenAlexW1968272339MaRDI QIDQ1802838

Yanyan Li

Publication date: 29 June 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(93)90107-9

zbMATH Keywords

stabilityconvergenceconsistencyparabolic systemsmulti-time step algorithmsubcycling algorithm

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for second-order parabolic systems (35K45)

Related Items (8)

Unnamed Item ⋮ Explicit multi-time step integration for first and second order finite element semidiscretizations ⋮ Convergence and stability analysis of heterogeneous time step coupling schemes for parabolic problems ⋮ Stability of asynchronous variational integrators ⋮ Discrete-fracture-model of multi-scale time-splitting two-phase flow including nanoparticles transport in fractured porous media ⋮ Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media ⋮ Stability of explicit subcycling time integration with linear interpolation for first-order finite element semidiscretizations ⋮ On the Use of Nonlinear Boundary-Value Problems to Estimate the Cloud-Formation Potential of Aerosol Particles

Cites Work

• Nodal partition of explicit finite element methods for unsteady diffusion problems
• Multirate linear multistep methods
• Inertia characteristics of self-adjoint matrix polynomials
• Variable explicit finite element methods for unsteady heat conduction equations
• Stability of multi-time step partitioned integrators for first-order finite element systems
• Stability analysis of elemental explicit-implicit partitions by Fourier methods
• Multi-time-step integration using nodal partitioning
• Convergence of an element-partitioned subcycling algorithm for the semi-discrete heat equation
• Partitioned Transient Analysis Procedures for Coupled-Field Problems: Stability Analysis
• Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory
• Stability of explicit‐implicit mesh partitions in time integration
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