Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems
type: Item
instance of: scholarly article
title: Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems
zbMATH Open document ID: 1196.80005
author: Jaroslav Kruis
author: Pavel Solin
author: Lenka Dubcová
published in: Journal of Computational and Applied Mathematics
publication date: 2010-03-31T00:00:00Z
review text: The authors present a novel space-time adaptive hp-FEM algorithm based on dynamical meshes and equipped with adaptive control of the time step. The method is higher-order accurate and adaptive in both space and time, and it is capable of approximating both physical fields, the temperature and the moisture, on individual meshes that can evolve in time independently of each other. Despite this the discretization is monolithic and no operator splitting takes place. The multimesh hp-FEM was more efficient than the standard (single-mesh) hp-FEM.
reviewed by: Damian Słota
Mathematics Subject Classification ID: 80M10
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 5688833
zbMATH Keywords: heat and mass transfer
zbMATH Keywords: finite element methods
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.cam.2009.07.025
OpenAlex ID: W2056299084
cites work: Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
cites work: Q3779682
cites work: Q4000061
cites work: Monolithic discretization of linear thermoelasticity problems via adaptive multimesh \(hp\)-FEM
cites work: Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions.
cites work: A posteriori error estimation of goal-oriented quantities for elliptic type BVPs
DOI: 10.1016/J.CAM.2009.07.025
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description: scientific article; zbMATH DE number 5688833