Rothe's method for parabolic equations on non-cylindrical domains

0343883 - MÚ 2011 RIV IN eng J - Článek v odborném periodiku
Dasht, J. - Engström, J. - Kufner, Alois - Persson, L.E.
Rothe's method for parabolic equations on non-cylindrical domains.
Advances in Algebra and Analysis. Roč. 1, č. 1 (2006), s. 59-80. ISSN 0973-2306
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: parabolic equations * non-cylindrical domains * Rothe's method * time-discretization
Kód oboru RIV: BA - Obecná matematika

We consider parabolic equations on non-cylindrical domains. We develop and apply two different methods connected to time-discretization to obtain a sequence of Rothe-type functions (approximations of the exact solution). The corresponding convergence results are proved and some generalizations and applications are pointed out.
Trvalý link: http://hdl.handle.net/11104/0186258