A posteriori upper and lower error bound of the high-order discontinuous Galerkin method for the heat conduction equation.

Autor:	Šebestová, Ivana
Jazyk:	angličtina
Předmět:	matematická analýza Galerkinovy metody mathematical analysis Galerkin methods články journal articles Helmholtzova dekompozice implicitní Eulerova metoda Helmholtz decomposition Euler backward scheme averaging interpolation operator residual-based a posteriori error estimate local cut-off function
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We deal with the numerical solution of the nonstationary heat conduction equation with mixed Dirichlet/Neumann boundary conditions. The backward Euler method is employed for the time discretization and the interior penalty discontinuous Galerkin method for the space discretization. Assuming shape regularity, local quasi-uniformity, and transition conditions, we derive both a posteriori upper and lower error bounds. The analysis is based on the Helmholtz decomposition, the averaging interpolation operator, and on the use of cut-off functions. Numerical experiments are presented.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink