Title | ||
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A fully discrete C0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation |
Abstract | ||
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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 |
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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 Gudi | 1 | 135 | 14.43 |
Hari Shanker Gupta | 2 | 8 | 2.30 |