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On spurious solutio...
On spurious solutions in finite element approximations of resonances in open systems
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- Araujo-Cabarcas, Juan Carlos (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå university, Sweden
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- Engström, Christian (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå university, Sweden
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(creator_code:org_t)
- Elsevier, 2017
- 2017
- Engelska.
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Ingår i: Computers and Mathematics with Applications. - : Elsevier. - 0898-1221 .- 1873-7668. ; 74:10, s. 2385-2402
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- In this paper, we discuss problems arising when computing resonances with a finite element method. In the pre-asymptotic regime, we detect for the one dimensional case, spurious solutions in finite element computations of resonances when the computational domain is truncated with a perfectly matched layer (PML) as well as with a Dirichlet-to-Neumann map (DtN). The new test is based on the Lippmann–Schwinger equation and we use computations of the pseudospectrum to show that this is a suitable choice. Numerical simulations indicate that the presented test can distinguish between spurious eigenvalues and true eigenvalues also in difficult cases.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Scattering resonances
- Lippmann–Schwinger equation
- Nonlinear eigenvalue problems
- Acoustic resonator
- Dielectric resonator
- Bragg resonator
- Mathematics
- matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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