Analysis of fully discrete approximations to parabolic problems with rough or distribution-valued initial data |
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Authors: | Nikolai Yu Bakaev |
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Institution: | (1) Department of Mathematics, Air Force Technical University, Planetnaya St. 3, Moscow 125190, Russia; e-mail: bakaev@postman.ru , RU |
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Abstract: | Summary. We consider fully discrete approximations to a parabolic initial-boundary value problem with rough or distribution-valued
initial data in two space dimensions. For discretization in time and space, we apply single step methods and the standard
Galerkin method with piecewise linear test functions, respectively. For spatial discretization of the initial condition, we
are however forced to use more involved constructions. Our main result is stability and error estimates of the discrete solutions.
Received October 21, 1999 / Revised version received May 3, 2001 / Published online December 18, 2001 |
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Keywords: | Mathematics Subject Classification (1991): 65M12 |
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