Waveform relaxation techniques for linear and nonlinear diffusion equations
نویسندگان
چکیده
منابع مشابه
Waveform Relaxation for Functional-diierential Equations Waveform Relaxation for Functional-diierential Equations Waveform Relaxation for Functional-differential Equations
The convergence of waveform relaxation techniques for solving functional-diierential equations is studied. New error estimates are derived that hold under linear and nonlinear conditions for the right-hand side of the equation. Sharp error bounds are obtained under generalized time-dependent Lipschitz conditions. The convergence of the waveform method and the quality of the a priori error bound...
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 کاملSchwarz Waveform Relaxation Algorithms with Nonlinear Transmission Conditions for Reaction-Diffusion Equations
1 Univ. Paris-Sud, Département de Mathématiques; CNRS, F-91405 Orsay, [email protected] 2 Section de Mathématiques, Université de Genève, CP 64, 1211 Genève, Switzerland, [email protected] 3 Université Paris 13, CNRS, UMR 7539 LAGA, 99 av. Jean-Baptiste Clément, F-93430 Villetaneuse, France, [email protected] 4 DMA, Ecole Normale Supérieure, 45 rue d’Ulm, Paris,...
متن کاملWaveform Relaxation of Linear Integral-Differential Equations for Circuit Simulation
We present waveform relaxation of linear integral-di erential equations which occur in circuit simulation. We give su cient conditions for convergence and numerical experiments to verify the theoretical results.
متن کاملSchwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations
Schwarz waveform relaxation methods have been studied for a wide range of scalar linear partial differential equations (PDEs) of parabolic and hyperbolic type. They are based on a space-time decomposition of the computational domain and the subdomain iteration uses an overlapping decomposition in space. There are only few convergence studies for non-linear PDEs. We analyze in this paper the con...
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: Journal of Computational and Applied Mathematics
سال: 1992
ISSN: 0377-0427
DOI: 10.1016/0377-0427(92)90079-d