Title :
Piecewise constant time discontinuous Galerkin method and error estimate
Author :
Lai, Junjiang ; Huang, Xuehai
Author_Institution :
Dept. of Math., Minjiang Univ., Fuzhou, China
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;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002459
