Details
| Original language | English |
|---|---|
| Pages (from-to) | 49-65 |
| Number of pages | 17 |
| Journal | Applied Numerical Mathematics |
| Volume | 152 |
| Early online date | 4 Feb 2020 |
| Publication status | Published - Jun 2020 |
Abstract
We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fluid, the exterior linear wave equation for the fluid is reduced to an integral equation on the boundary involving the Poincaré-Steklov operator. The resulting problem is solved using a Galerkin boundary element method in the time domain, coupled to a finite element method for the Lamé equation inside the elastic body. Based on ideas from the time–independent coupling formulation, we obtain an a priori error estimate and discuss the implementation of the proposed method. Numerical experiments illustrate the performance of our scheme for model problems.
Keywords
- A priori error estimate, FEM-BEM coupling, Fluid-structure interaction, Space-time methods, Wave equation
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Applied Numerical Mathematics, Vol. 152, 06.2020, p. 49-65.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A time–dependent FEM-BEM coupling method for fluid–structure interaction in 3d
AU - Gimperlein, Heiko
AU - Özdemir, Ceyhun
AU - Stephan, Ernst P.
N1 - Funding Information: C. Özdemir acknowledges support by the Avicenna foundation.
PY - 2020/6
Y1 - 2020/6
N2 - We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fluid, the exterior linear wave equation for the fluid is reduced to an integral equation on the boundary involving the Poincaré-Steklov operator. The resulting problem is solved using a Galerkin boundary element method in the time domain, coupled to a finite element method for the Lamé equation inside the elastic body. Based on ideas from the time–independent coupling formulation, we obtain an a priori error estimate and discuss the implementation of the proposed method. Numerical experiments illustrate the performance of our scheme for model problems.
AB - We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fluid, the exterior linear wave equation for the fluid is reduced to an integral equation on the boundary involving the Poincaré-Steklov operator. The resulting problem is solved using a Galerkin boundary element method in the time domain, coupled to a finite element method for the Lamé equation inside the elastic body. Based on ideas from the time–independent coupling formulation, we obtain an a priori error estimate and discuss the implementation of the proposed method. Numerical experiments illustrate the performance of our scheme for model problems.
KW - A priori error estimate
KW - FEM-BEM coupling
KW - Fluid-structure interaction
KW - Space-time methods
KW - Wave equation
UR - http://www.scopus.com/inward/record.url?scp=85078822996&partnerID=8YFLogxK
U2 - 10.1016/j.apnum.2020.01.023
DO - 10.1016/j.apnum.2020.01.023
M3 - Article
AN - SCOPUS:85078822996
VL - 152
SP - 49
EP - 65
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
SN - 0168-9274
ER -