Schwarz waveform relaxation methods for parabolic equations in space-frequency domain

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Time Domain Maxwell Equations Solved with Schwarz Waveform Relaxation Methods

It is very natural to solve time dependent problems with Domain Decomposition Methods by using an implicit scheme for the time variable and then applying a classical iterative domain decomposition method at each time step. This is however not what the Schwarz Waveform Relaxation (SWR) methods do. The SWR methods are a combination of the Schwarz Domain Decomposition methods, see Schwarz [1870], ...

متن کامل

Parareal Schwarz Waveform Relaxation Methods

Solving an evolution problem in parallel is naturally undertaken by trying to parallelize the algorithm in space, and then still follow a time stepping method from the initial time t = 0 to the final time t = T . This is especially easy to do when an explicit time stepping method is used, because in that case the time step for each component is only based on past, known data, and the time stepp...

متن کامل

Acceleration of a Schwarz waveform relaxation method for parabolic problems

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 parabolic problems. 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 us...

متن کامل

Schwarz 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 کامل

Schwarz Waveform Relaxation Method for the Viscous Shallow Water Equations

We are interested in solving time dependent problems using domain decomposition method. In the classical methods, one discretizes first the time dimension and then one solves a sequence of steady problems by a domain decomposition method. In this paper, we study a Schwarz Waveform Relaxation method which treats directly the time dependent problem. We propose algorithms for the viscous Shallow W...

متن کامل

ذخیره 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: Computers & Mathematics with Applications

سال: 2008

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2007.11.025