Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems

DOI10.1016/j.cam.2009.07.025zbMath1196.80005OpenAlexW2056299084MaRDI QIDQ961533

Jaroslav Kruis, Pavel Šolín, Lenka Dubcová

Publication date: 31 March 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.07.025

zbMATH Keywords

finite element methodsheat and mass transfer

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items

Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods ⋮ Comparison of multimesh \(hp\)-FEM to interpolation and projection methods for spatial coupling of thermal and neutron diffusion calculations ⋮ Complementary error bounds for elliptic systems and applications ⋮ Parallel space-time \(hp\) adaptive discretization scheme for parabolic problems ⋮ \(hp\)-FEM electromechanical transduction model of ionic polymer-metal composites ⋮ Error-driven dynamical \(hp\)-meshes with the discontinuous Galerkin method for three-dimensional wave propagation problems ⋮ Application ofh-,p-, andhp-Mesh Adaptation Techniques to theSP₃Equations ⋮ Advanced adaptive algorithms in 2D finite element method of higher order of accuracy ⋮ On implementation aspects of finite element method and its application

Uses Software

• RODAS

Cites Work

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• Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions.
• Monolithic discretization of linear thermoelasticity problems via adaptive multimesh \(hp\)-FEM
• Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
• A posteriori error estimation of goal-oriented quantities for elliptic type BVPs