Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
نویسندگان
چکیده
منابع مشابه
Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
We introduce a non-overlapping variant of the Schwarz waveform relaxation algorithm for wave propagation problems with variable coefficients in one spatial dimension. We derive transmission conditions which lead to convergence of the algorithm in a number of iterations equal to the number of subdomains, independently of the length of the time interval. These optimal transmission conditions are ...
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We introduce a nonoverlapping variant of the Schwarz waveform relaxation algorithm for semilinear wave propagation in one dimension. Using the theory of absorbing boundary conditions, we derive a new nonlinear algorithm. We show that the algorithm is well-posed and we prove its convergence by energy estimates and a Galerkin method. We then introduce an explicit scheme. We prove the convergence ...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2003
ISSN: 0036-1429,1095-7170
DOI: 10.1137/s003614290139559x