A new family of time integration methods for heat conduction problems using numerical Green's functions

DOI10.1007/s00466-009-0389-0zbMath1175.80021OpenAlexW1984260188MaRDI QIDQ835514

Webe Joao Mansur, F. S. Loureiro

Publication date: 28 August 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-009-0389-0

zbMATH Keywords

FEMnumerical dissipationRunge-Kuttanumerical Green's functionssub-steps

Mathematics Subject Classification ID

Related Items (3)

Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation ⋮ Experimental validation of high-order time integration for non-linear heat transfer problems ⋮ A time-stepping scheme based on numerical Green's functions for the domain boundary element method: the ExGA-DBEM Newmark approach

Uses Software

• FEAPpv

Cites Work

• Numerical solution for the linear transient heat conduction equation using an explicit Green's approach
• Higher order methods for transient diffusion analysis
• Time-continuous Galerkin methods for linear heat conduction problems
• The Nørsett time integration methodology for finite element transient analysis
• Explicit time-domain approaches based on numerical Green's functions computed by finite differences the ExGa family
• A new unified theory underlying time dependent linear first-order systems: a prelude to algorithms by design
• Least‐squares schemes for time integration of thermal problems
• A comparison of time marching schemes for the transient heat conduction equation
• Higher-order accurate least-squares methods for first-order initial value problems
• High‐order hierarchical A‐ and L‐stable integration methods
• A time domain FEM approach based on implicit Green's functions for non-linear dynamic analysis
• The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications
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