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Adaptive Hybrid Fin...
Adaptive Hybrid Finite Element/Difference method for Maxwell's equations: an a priory error estimate and efficiency
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- Beilina, Larisa, 1970 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics
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(creator_code:org_t)
- 2010
- 2010
- Engelska.
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Ingår i: Applied and Computational Mathematics. - 1683-3511. ; 9:2, s. 176-197
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Abstract
Ämnesord
Stäng
- In this work we extend our previous study where anexplicit adaptive hybrid finite element/finite difference method wasproposed for the numerical solution of Maxwell's equations in the timedomain. Here we derive a priori error estimate in finite elementmethod and present numerical examples where we indicate the rate ofconvergence of the hybrid method. We compare also hybrid finiteelement/finite difference method with pure finite element method andshow that we devise an optimized method. In our three dimensionalcomputations the hybrid approach is about 3 times faster than acorresponding highly optimized finite element method. We conclude thatthe hybrid approach may be an important tool to reduce the executiontime and memory requirements for large scale computations.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Reliability
- Hybrid finite element/finite difference method
- Efficiency
- Error estimates
- Adaptive finite element methods
- Maxwell's equations
- Adaptive finite element methods; Efficiency; Error estimates; Hybrid finite element/finite difference method; Maxwell's equations; Reliability
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