transparent gif

 

Ej inloggad.

Göteborgs universitets publikationer

Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation

Författare och institution:
Larisa Beilina (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Communications in Nonlinear Science and Numerical Simulation, 37 s. 222-237
ISSN:
1007-5704
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2016
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational domain: finite difference method is used on the structured part of the computational domain and finite elements on the unstructured part of the domain. Explicit discretizations for both methods are constructed such that the finite element and the finite difference schemes coincide on the common structured overlapping layer between computational subdomains. Then the resulting approach can be considered as a pure finite element scheme which avoids instabilities at the interfaces. We derive an energy estimate for the underlying hyperbolic equation with absorbing boundary conditions and illustrate efficiency of the domain decomposition method on the reconstruction of the conductivity function in three dimensions.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
NATURVETENSKAP ->
Fysik
Nyckelord:
Domain decomposition method, Hyperbolic equation, Energy estimate, Finite element method, Finite, Mathematics, Mechanics, Physics
Postens nummer:
233765
Posten skapad:
2016-03-29 13:55
Posten ändrad:
2016-05-19 14:47

Visa i Endnote-format

Göteborgs universitet • Tel. 031-786 0000
© Göteborgs universitet 2007