Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems

0347694 - ÚT 2011 RIV US eng J - Článek v odborném periodiku
Dubcová, Lenka - Šolín, Pavel - Červený, Jakub - Kůs, Pavel
Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems.
Electromagnetics. 1-2, č. 30 (2010), s. 23-40. ISSN 0272-6343. E-ISSN 1532-527X
Grant CEP: GA ČR(CZ) GA102/07/0496; GA AV ČR IAA100760702
Výzkumný záměr: CEZ:AV0Z20570509
Klíčová slova: hp-finite element method * microwave heating * edge elements
Kód oboru RIV: JA - Elektronika a optoelektronika, elektrotechnika
Impakt faktor: 0.844, rok: 2010

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.
Trvalý link: http://hdl.handle.net/11104/0188419