Modelling non-linear heat conduction via a fast matrix-free implicit unstructured-hybrid algorithm

DOI10.1016/j.cma.2007.05.012zbMath1173.80312OpenAlexW2002215600MaRDI QIDQ1033330

J. P. Meyer, Arnaud G. Malan, Roland W. Lewis

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.cma.2007.05.012

zbMATH Keywords

heat conductionedge-basedapproximate analytical JacobianLU-SGS preconditioned GMRESmatrix-free implicit solutionnon-linear diffusion (elliptic) equationunstructured-hybrid meshes

Mathematics Subject Classification ID

Related Items (4)

An artificial compressibility CBS method for modelling heat transfer and fluid flow in heterogeneous porous materials ⋮ An AMG strategy for efficient solution of free-surface flows ⋮ A matrix-free, implicit, incompressible fractional-step algorithm for fluid-structure interaction applications ⋮ An accelerated, fully-coupled, parallel 3D hybrid finite-volume fluid-structure interaction scheme

Cites Work

• A fast, matrix-free implicit method for compressible flows on unstructured grids
• Efficient time integration of Navier-Stokes equations
• An edge-based finite volume scheme for saturated--unsaturated groundwater flow
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Edge-based finite element scheme for the Euler equations
• Modelling coupled heat and mass transfer in drying non‐hygroscopic capillary particulate materials
• An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows: Part I. Theory and implementation
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