About: Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems     Goto   Sponge   NotDistinct   Permalink

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Description
  • 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.
  • 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. (en)
Title
  • Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems
  • Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems (en)
skos:prefLabel
  • Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems
  • Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems (en)
skos:notation
  • RIV/61388998:_____/10:00347694!RIV11-GA0-61388998
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/07/0496), P(IAA100760702), Z(AV0Z20570509)
http://linked.open...iv/cisloPeriodika
  • 30
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 288927
http://linked.open...ai/riv/idVysledku
  • RIV/61388998:_____/10:00347694
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • hp-finite element method; microwave heating; edge elements (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [E29C69418D37]
http://linked.open...i/riv/nazevZdroje
  • Electromagnetics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 1-2
http://linked.open...iv/tvurceVysledku
  • Dubcová, Lenka
  • Kůs, Pavel
  • Šolín, Pavel
  • Červený, Jakub
http://linked.open...ain/vavai/riv/wos
  • 000275275700003
http://linked.open...n/vavai/riv/zamer
issn
  • 0272-6343
number of pages
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