Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
نویسندگان
چکیده
منابع مشابه
Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions
Optimized Schwarz Waveform Relaxation methods have been developed over the last decade for the parallel solution of evolution problems. They are based on a decomposition in space and an iteration, where only subproblems in space-time need to be solved. Each subproblem can be simulated using an adapted numerical method, for example with local time stepping, or one can even use a different model ...
متن کاملOptimized Sponge Layers, Optimized Schwarz Waveform Relaxation Algorithms for Convection-diffusion Problems and Best Approximation
When solving an evolution equation in an unbounded domain, various strategy have to be applied, aiming to reduce the number of unknowns and of computation, from infinite to a finite but not too large number. Among them truncation of domains with a sponge boundary and Schwarz Waveform Relaxation with overlap. These problems are closely related, as they both use the Dirichlet-to-Neumann map as a ...
متن کاملNonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation
We analyze the convergence behavior of the overlapping Schwarz waveform relaxation algorithm applied to nonlinear advection problems. We show for Burgers’ equation that the algorithm converges super-linearly at a rate which is asymptotically comparable to the rate of the algorithm applied to linear advection problems. The convergence rate depends on the overlap and the length of the time interv...
متن کاملSchwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
We introduce nonoverlapping domain decomposition algorithms of Schwarz waveform relaxation type for the semilinear reaction-diffusion equation. We define linear Robin and second order (or Ventcell) transmission conditions between the subdomains, which we prove to lead to a well defined and converging algorithm. We also propose nonlinear transmission conditions. Both types are based on best appr...
متن کاملA Schwarz Waveform Relaxation Method for Advection–Diffusion–Reaction Problems with Discontinuous Coefficients and non-Matching Grids
We present a non-overlapping Schwarz waveform relaxation method for solving advection-reaction-diffusion problems in heterogeneous media. The domain decomposition method is global in time, which permits the use of different time steps in different subdomains. We determine optimal non-local, and optimized Robin transmission conditions. We also present a space-time finite volume scheme especially...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2007
ISSN: 0036-1429,1095-7170
DOI: 10.1137/050642137