Multiscale techniques for parabolic equations
نویسندگان
چکیده
منابع مشابه
Multiscale techniques for parabolic equations
We use the local orthogonal decomposition technique introduced in Målqvist and Peterseim (Math Comput 83(290):2583-2603, 2014) to derive a generalized finite element method for linear and semilinear parabolic equations with spatial multiscale coefficients. We consider nonsmooth initial data and a backward Euler scheme for the temporal discretization. Optimal order convergence rate, depending on...
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number of iterationsrequired to meet the convergencecriterion. the converged solutions from the previous step. This significantly reduces the interfacial boundaries, the initial estimates for the interfacial flux is given from scheme. Outside of the first time step where zero initial flux is assumed on all between subdomains are satisfied using a Schwarz Neumann-Neumam iteration method which is...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2017
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-017-0905-7