Title
A fully discrete C0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation
Abstract
A fully discrete C^0 interior penalty finite element method is proposed and analyzed for the Extended Fisher-Kolmogorov (EFK) equation u"t+@c@D^2u-@Du+u^3-u=0 with appropriate initial and boundary conditions, where @c is a positive constant. We derive a regularity estimate for the solution u of the EFK equation that is explicit in @c and as a consequence we derive a priori error estimates that are robust in @c.
Year
DOI
Venue
2013
10.1016/j.cam.2012.12.019
J. Computational Applied Mathematics
Keywords
Field
DocType
c0 interior penalty galerkin,extended fisher-kolmogorov,equation u,finite element method,boundary condition,extended fisher-kolmogorov equation,error estimate,solution u,interior penalty,discrete c,regularity estimate,efk equation,finite element,stability,mathematics,discontinuous galerkin
Discontinuous Galerkin method,Boundary value problem,Mathematical optimization,Fisher–Kolmogorov equation,Mathematical analysis,A priori and a posteriori,Galerkin method,Finite element method,Mathematics
Journal
Volume
ISSN
Citations 
247,
0377-0427
1
PageRank 
References 
Authors
0.36
9
2
Name
Order
Citations
PageRank
Thirupathi Gudi113514.43
Hari Shanker Gupta282.30