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An efficient full-w...
An efficient full-wave solver for eddy currents
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- Helsing, Johan (författare)
- Lund University,Lunds universitet,Harmonic Analysis and Applications,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Karlsson, Anders (författare)
- Lund University,Lunds universitet,Teoretisk elektroteknik,Forskargrupper vid Lunds universitet,Electromagnetic Theory,Lund University Research Groups
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- Rosén, Andreas, 1974 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- Elsevier BV, 2022
- 2022
- Engelska.
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Ingår i: Computers & Mathematics with Applications. - : Elsevier BV. - 0898-1221. ; 128, s. 145-162
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Abstract
Ämnesord
Stäng
- An integral equation reformulation of the Maxwell transmission problem is presented. The reformulation uses techniques such as tuning of free parameters and augmentation of close-to-rank-deficient operators. It is designed for the eddy current regime and works both for surfaces of genus 0 and 1. Well-conditioned systems and field representations are obtained despite the Maxwell transmission problem being ill-conditioned for genus 1 surfaces due to the presence of Neumann eigenfields. Furthermore, it is shown that these eigenfields, for ordinary conductors in the eddy current regime, are different from the classical Neumann eigenfields for superconductors. Numerical examples, based on the reformulation, give an unprecedented 13 -digit accuracy both for transmitted and scattered fields.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Annan elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Other Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
Nyckelord
- Maxwell transmission problem
- Eddy current
- Boundary integral equation
- Neumann eigenfield
- Low-frequency breakdown
- electromagnetic scattering
- current model
- debye sources
- justification
- equation
- Mathematics
- Maxwell transmission problem
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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