Galerkin approximations for the linear parabolic equation with the third boundary condition.

Autor:	Faragó, István
Další autoři:	Korotov, Sergey Neittaanmäki, Pekka
Jazyk:	angličtina
Předmět:	matematika metoda konečných prvků mathematics finite element method články journal articles linear parabolic equation third boundary condition semidiscretization fully discretized scheme elliptic projection
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We solve a linear parabolic equation in $\Bbb R^d$, $d \ge1,$ with the third nonhomogeneous boundary condition using the finite element method for discretization in space, and the $\theta$-method for discretization in time. The convergence of both, the semidiscrete approximations and the fully discretized ones, is analysed. The proofs are based on a generalization of the idea of the elliptic projection. The rate of convergence is derived also for variable time step-sizes.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink