Sökning: id:"swepub:oai:DiVA.org:liu-170834" >
Analysis of Dirichl...
Analysis of Dirichlet–Robin Iterations for Solving the Cauchy Problem for Elliptic Equations
-
- Achieng, Pauline, 1990- (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
-
- Berntsson, Fredrik, 1971- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
-
- Chepkorir, Jennifer, 1989- (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
-
visa fler...
-
- Kozlov, Vladimir, 1954- (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
-
visa färre...
-
(creator_code:org_t)
- 2020-10-06
- 2021
- Engelska.
-
Ingår i: Bulletin of the Iranian Mathematical Society. - : Springer. - 1735-8515 .- 1017-060X. ; 47, s. 1681-1699
- Relaterad länk:
-
https://doi.org/10.1...
-
visa fler...
-
https://liu.diva-por... (primary) (Raw object)
-
https://link.springe...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- The Cauchy problem for general elliptic equations of second order is considered. In a previous paper (Berntsson et al. in Inverse Probl Sci Eng 26(7):1062–1078, 2018), it was suggested that the alternating iterative algorithm suggested by Kozlov and Maz’ya can be convergent, even for large wavenumbers k2, in the Helmholtz equation, if the Neumann boundary conditions are replaced by Robin conditions. In this paper, we provide a proof that shows that the Dirichlet–Robin alternating algorithm is indeed convergent for general elliptic operators provided that the parameters in the Robin conditions are chosen appropriately. We also give numerical experiments intended to investigate the precise behaviour of the algorithm for different values of k2 in the Helmholtz equation. In particular, we show how the speed of the convergence depends on the choice of Robin parameters.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Helmholtz equation
- Cauchy problem
- Inverse problem
- Ill-posed problem
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas