Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation
Artikel i vetenskaplig tidskrift, 2016

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.

Finite element method

Finite

Energy estimate

Hyperbolic equation

Mathematics

Mechanics

Domain decomposition method

Physics

Författare

Larisa Beilina

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Communications in Nonlinear Science and Numerical Simulation

1007-5704 (ISSN)

Vol. 37 222-237

Ämneskategorier

Matematik

Fysik

DOI

10.1016/j.cnsns.2016.01.016