L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Autor:	Hyun Young Lee, Mi Ray Ohm, Jun Yong Shin
Jazyk:	angličtina
Rok vydání:	2010
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2010 (2010)
Druh dokumentu:	article
ISSN:	1025-5834 1029-242X
DOI:	10.1155/2010/895187
Popis:	We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations. We construct finite element spaces on which we develop fully discrete approximations using extrapolated Crank-Nicolson method. We adopt an appropriate elliptic-type projection, which leads to optimal ℓ∞(L2) error estimates of discontinuous Galerkin approximations in both spatial direction and temporal direction.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2fcdaba501d449ffa75751c4bdba9e6d Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF