Parallel Domain Decomposition for Reaction-diiusion Problems
نویسنده
چکیده
منابع مشابه
A Characteristic Domain Splitting
This work treats a linear convection-diiusion problem. Diiusion and convection may be equally important or convection may dominate the problem. The method of characteristics is combined with an overlapping domain decomposition technique so that domain decomposition is naturally combined with the time stepping. In each time step, the algorithm rst determines the characteristic solution. Then a d...
متن کاملDomain Decomposition Methods for Inverse Problems
Inverse problems related to the estimation of coeecients of partial diierential equations are illposed. Practical applications often use the t-to-data output-least-square's method to recover the coeecients. In this work, we develop parallel nonoverlapping domain decomposition algorithms to estimate the diiusion coeecient associated with elliptic diierential equations. In order to realize the do...
متن کاملSpace-time Domain Decomposition for Parabolic Problems Space-time Domain Decomposition for Parabolic Problems
We analyze a space-time domain decomposition iteration, for a model advection diiusion equation in one and two dimensions. The asymptotic convergence rate is superlinear, and it is governed by the diiusion of the error across the overlap between subdomains. Hence, it depends on both the size of this overlap and the diiusion coeecient in the equation. However, it is independent of the number of ...
متن کاملAn Example for Parallel Scarc and Its Application to the Incompressible Navier-stokes Equations
We present a general multigrid approach for the parallel solution of discretized Poisson-or convection{diiusion-like equations. Both are necessary subproblems in the numerical solution process of the incompressible Navier-Stokes equations via projection methods. Our approach leads to high parallel eeciency and excellent convergence rates, even on very anisotropic meshes, as characteristic for c...
متن کاملNumerical Algorithms 0 ( 1998 ) ? { ? 1 A Hybrid Nonoverlapping Domain DecompositionScheme for Advection Dominated Advection - Di usionProblems
Two nonoverlapping domain decomposition algorithmsare proposed for convectiondom-inated convection-diiusion problems. In each subdomain, artiicial boundary conditions are used on the innow and outtow boundaries. If the ow is simple, each subdomain problem only needs to be solved once. If there are closed streamlines, an iterative algorithmis needed and the convergence is proved. Analysis and nu...
متن کامل