Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries
نویسندگان
چکیده
1 LAGA, Université Paris XIII, Villetaneuse 93430, France, [email protected] 2 LAGA, Université Paris XIII, Villetaneuse 93430, France; CSCAMM, University of Maryland College Park, MD 20742 USA, [email protected], the first two authors are partially supported by french ANR (COMMA) and GdR MoMaS. 3 Département de mathématiques et applications, Ecole Normale supérieure, 45 rue d’Ulm, 75230 Paris cedex 05 France, [email protected]
منابع مشابه
Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems
We design and analyze a Schwarz waveform relaxation algorithm for domain decomposition of advection-diffusion-reaction problems with strong heterogeneities. The interfaces are curved, and we use optimized Ventcell transmission conditions. We analyze the semidiscretization in time with discontinuous Galerkin as well. We also show two-dimensional numerical results using generalized mortar finite ...
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 کاملNonconforming in Time Domain Decomposition Method for Porous Media Applications
Abstract. We design a Schwarz waveform relaxation algorithm for solving advectiondi usion-reaction problems in heterogeneous media. The non-overlapping domain decomposition method is global in time and thus allows the use of di erent time steps in di erent subdomains. We use a discontinuous Galerkin method in time as a subdomain solver in order to have optimal error estimates and local time ste...
متن کاملDiscontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation
1 LAGA, Université Paris XIII, 93430 Villetaneuse, France, [email protected]; [email protected], partially supported by french ANR (COMMA) and GdR MoMaS. 2 Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton NJ 08544-1000, USA; C.N.R.S., MAB, Université Bordeaux 1, 33405 Talence Cedex, France, partially supported by NSF Grant DMS-0504720, ...
متن کاملA Direct Solver for the Heat Equation with Domain Decomposition in Space and Time
In this paper we generalize the Aitken-like acceleration method of the additive Schwarz algorithm for elliptic problems to the additive Schwarz waveform relaxation for the heat equation. The domain decomposition is in space and time. The standard Schwarz waveform relaxation algorithm has a linear rate of convergence and low numerical efficiency. This algorithm is, however, friendly to cache use...
متن کامل