Direct methods for sparse matrices
Direct methods for sparse matrices
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Iterative methods for solving linear systems
Iterative methods for solving linear systems
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems
SIAM Journal on Numerical Analysis
First-Order System Least-Squares for the Helmholtz Equation
SIAM Journal on Scientific Computing
A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity
SIAM Journal on Scientific Computing
A Multigrid Method for Elastic Scattering
A Multigrid Method for Elastic Scattering
Iterative solvers for coupled fluid-solid scattering
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
An ultra-weak method for acoustic fluid-solid interaction
Journal of Computational and Applied Mathematics
Iterative solvers for coupled fluid--solid scattering
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies
Journal of Computational Physics
A multilevel decoupled method for a mixed Stokes/Darcy model
Journal of Computational and Applied Mathematics
Parallel BDD-based monolithic approach for acoustic fluid-structure interaction
Computational Mechanics
Hi-index | 31.45 |
A fast parallel iterative method is proposed for the solution of linear equations arising from finite element discretization of the time harmonic coupled fluid-solid systems in fluid pressure and solid displacement formulation. The fluid and the solid domains are decomposed into nonoverlapping subdomains. Continuity of the solution is enforced by Lagrange multipliers. The system is augmented by duplicating the degrees of freedom on the wet interface. The original degrees of freedom are then eliminated and the resulting system is solved by iterations preconditioned by a coarse space correction. In each iteration, the method requires the solution of one independent local acoustic problem per subdomain and the solution of a global problem with several degrees of freedom per subdomain. Computational results show that the method is scalable with the problem size, frequency, and the number of subdomains. The method generalizes the FETI-H method for the Helmholtz equation to coupled fluid-elastic scattering. The number of iterations is about same as for the FETI-H method for the related Helmholtz problem with Neumann boundary condition instead of an elastic scatterer if enough coarse space functions are used. Convergence behavior is explained from the spectrum of the iteration operator and from numerical near decoupling of the equations in the fluid and in the solid regions.