An iterative method for elliptic problems on regions partitioned into substructures
Mathematics of Computation
The construction of preconditioners for elliptic problems by substructuring. I
Mathematics of Computation
Iterative methods for the solution of elliptic problems on regions partitioned into substructures
SIAM Journal on Numerical Analysis
Numerical analysis of junctions between plates
Computer Methods in Applied Mechanics and Engineering
A relaxation procedure for domain decomposition methods using finite elements
Numerische Mathematik
Domain decomposition method and elastic multi-structures: the stiffened plate problem
Numerische Mathematik
Two-level additive Schwarz preconditioners for nonconforming finite element methods
Mathematics of Computation
Matrix computations (3rd ed.)
Some Nonoverlapping Domain Decomposition Methods
SIAM Review
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
A finite element method for investigating general elastic multi-structures
Computers & Mathematics with Applications
Vibration analysis of Kirchhoff plates by the Morley element method
Journal of Computational and Applied Mathematics
| Hi-index | 0.00 |
The purpose of this paper is to provide two numerical methods for solving the elastic body-plate problem by nonoverlapping domain decomposition type techniques, based on the discretization method by Wang. The first one is similar to an older method, but here the corresponding Schur complement matrix is preconditioned by a specific preconditioner associated with the plate problem. The second one is a "displacement-force" type Schwarz alternating method. At each iteration step of the two methods, either a pure body or a pure plate problem needs to be solved. It is shown that both methods have a convergence rate independent of the size of the finite element mesh.