Dispersion-based guidance for the temporal and spatial discretization of the one- and two-dimensional finite element solutions to the transient heat equation.

DOI10.1016/S0045-7825(03)00296-2zbMath1046.80011OpenAlexW2147809687MaRDI QIDQ1424425

Ashley F. Emery, Walter Dauksher

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(03)00296-2

zbMATH Keywords

heat equationdispersiondiscretization error

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (2)

Discrete element modeling of 3D irregular concave particles: transport properties of particle-reinforced composites considering particles and soft interphase effects ⋮ DEM and dual-probability-Brownian motion scheme for thermal conductivity of multiphase granular materials with densely packed non-spherical particles and soft interphase networks

Cites Work

• Energy and group velocity in semi discretizations of hyperbolic equations
• Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
• Group Velocity in Finite Difference Schemes
• Dispersion properties of simple 3D finite elements
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