Piecewise constant time discontinuous Galerkin method and error estimate

Author

Lai, Junjiang ; Huang, Xuehai

Author_Institution

Dept. of Math., Minjiang Univ., Fuzhou, China

fYear

2011

fDate

26-28 July 2011

Firstpage

2289

Lastpage

2292

Abstract

This paper proposes a piecewise constant time discontinuous Galerkin method to solve the initial-boundary value problem for the heat equation. The finite element is formulated in terms of continuous approximation functions in space directions and piecewise constant approximation functions in time direction. The error analysis for this method in L, norm is established, and some numerical examples are included to validate the theoretical analysis.

Keywords

Galerkin method; approximation theory; boundary-value problems; error analysis; error statistics; finite element analysis; piecewise constant techniques; L₂ norm; continuous approximation function; error estimation; finite element formulation; heat equation; initial-boundary value problem; piecewise constant approximation function; piecewise constant time discontinuous Galerkin method; space direction; Approximation methods; Electronic mail; Equations; Error analysis; Finite element methods; Heating; Moment methods; discontinuous Galerkin method; error analysis; heat equation; piecewise constant;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002459

Filename

6002459