Discrete maximum principle for parabolic problems solved by prismatic finite elements

0352123 - MÚ 2011 RIV NL eng J - Článek v odborném periodiku
Vejchodský, Tomáš - Korotov, S. - Hannukainen, A.
Discrete maximum principle for parabolic problems solved by prismatic finite elements.
Mathematics and Computers in Simulation. Roč. 80, č. 8 (2010), s. 1758-1770. ISSN 0378-4754. E-ISSN 1872-7166
Grant CEP: GA ČR(CZ) GA102/07/0496; GA AV ČR IAA100760702
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: parabolic problem * maximum principle * prismatic finite elements * discrete maximum principle
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.812, rok: 2010
http://www.sciencedirect.com/science/article/pii/S0378475409003176

In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion reaction problem solved by means of prismatic finite elements and theta-method. We derive geometric conditions on the shape parameters of prismatic partitions and time-steps which a priori guarantee validity of the DMP. The presented numerical tests illustrate the sharpness of the obtained conditions.
Trvalý link: http://hdl.handle.net/11104/0191707