Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results
Applied Numerical Mathematics
Analysis of Patch Substructuring Methods
International Journal of Applied Mathematics and Computer Science - Scientific Computation for Fluid Mechanics and Hyperbolic Systems
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
Optimized Domain Decomposition Methods for the Spherical Laplacian
SIAM Journal on Numerical Analysis
Optimized Schwarz Waveform Relaxation for the Primitive Equations of the Ocean
SIAM Journal on Scientific Computing
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems
Advances in Computational Mathematics
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
The Optimized Schwarz Method with a Coarse Grid Correction
SIAM Journal on Scientific Computing
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation
Journal of Computational Physics
Optimization of Schwarz waveform relaxation over short time windows
Numerical Algorithms
Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem
Journal of Computational Physics
Hi-index | 0.02 |
Optimized Schwarz methods are a new class of Schwarz methods with greatly enhanced convergence properties. They converge uniformly faster than classical Schwarz methods and their convergence rates dare asymptotically much better than the convergence rates of classical Schwarz methods if the overlap is of the order of the mesh parameter, which is often the case in practical applications. They achieve this performance by using new transmission conditions between subdomains which greatly enhance the information exchange between subdomains and are motivated by the physics of the underlying problem. We analyze in this paper these new methods for symmetric positive definite problems and show their relation to other modern domain decomposition methods like the new Finite Element Tearing and Interconnect (FETI) variants.