Record Details

On L(2)-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title On L(2)-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data
 
Creator GUDI, T
NATARAJ, N
PANI, AK
 
Subject finite-element methods
hp-finite elements
nonsymmetric interior penalty galerkin method
second-order linear elliptic problems
super-penalty
optimal estimates
 
Description In this paper, we present improved a priori error estimates for a nonsymmetric interior penalty Galerkin method (NIPG) with super-penalty for the problem -Delta u = f in Omega and u = g on partial derivative Omega. Using piecewise polynomials of degree less than or equal to r, our new L(2)-error estimate is of order when g E H(r+1/2)(partial derivative Omega) and is optimal, i.e., of order (h/r)(r+1) when g is an element of H(r+1) (partial derivative Omega), where It denotes the mesh size. Numerical experiments are presented to illustrate the theoretical results.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-25T23:31:37Z
2011-12-26T12:50:54Z
2011-12-27T05:37:05Z
2011-07-25T23:31:37Z
2011-12-26T12:50:54Z
2011-12-27T05:37:05Z
2009
 
Type Article
 
Identifier JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 228(1), 30-40
0377-0427
http://dx.doi.org/10.1016/j.cam.2008.08.036
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6815
http://hdl.handle.net/10054/6815
 
Language en