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Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems
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SYSNO ASEP 0347694 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems Author(s) Dubcová, Lenka (UT-L)
Šolín, Pavel (UT-L) RID
Červený, Jakub (UT-L)
Kůs, Pavel (UT-L)Source Title Electromagnetics - ISSN 0272-6343
1-2, č. 30 (2010), s. 23-40Number of pages 18 s. Language eng - English Country US - United States Keywords hp-finite element method ; microwave heating ; edge elements Subject RIV JA - Electronics ; Optoelectronics, Electrical Engineering R&D Projects GA102/07/0496 GA ČR - Czech Science Foundation (CSF) IAA100760702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z20570509 - UE-C, UT-L (2005-2011) UT WOS 000275275700003 DOI 10.1080/02726340903485257 Annotation A novel, highly efficient and accurate space and time adaptive higher-order finite element method (hp-FEM) is proposed for evolutionary microwave heating problems. Since the electric field E and temperature field T are very different in nature, they are approximated on individual meshes that change dynamically in time, independently of each other. Although the approximations of E and T are defined on different meshes, the coupling is treated in a monolithic fashion using a complex-valued approximate temperature. Numerical experiments are presented that show the novel method is clearly superior to its natural competitors — the space and time adaptive (single mesh) hp-finite element method and the space and time adaptive two-mesh h-finite element method. In all cases, comparisons in both the number of degrees of freedom (discrete problem size) and CPU time are presented. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2011
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