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Comparison of integ...
Comparison of integral equations for the Maxwell transmission problem with general permittivities
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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
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(creator_code:org_t)
- 2021-10-15
- 2021
- Engelska.
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Ingår i: Advances in Computational Mathematics. - : Springer Science and Business Media LLC. - 1019-7168 .- 1572-9044. ; 47:5
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Abstract
Ämnesord
Stäng
- Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic materials. The winning integral equation turns out to be entirely free from false eigenwavenumbers for any passive materials, also for purely negative permittivity ratios and in the static limit, as well as free from false essential spectrum on non-smooth surfaces. It also appears to be numerically competitive to all other available integral equation reformulations of the Maxwell transmission problem, despite using eight scalar surface densities.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Maxwell's equations
- Electromagnetic scattering
- Transmission problem
- Boundary integral equation
- Surface plasmon wave
- Non-smooth object
- electromagnetic scattering
- direct solver
- corners
- bodies
- Mathematics
- Maxwell’s equations
- Maxwell’s equations
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- ref (ämneskategori)
- art (ämneskategori)
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