Analysis of space–time discontinuous Galerkin method for nonlinear convection–diffusion problems

The paper presents the theory of the discontinuous Galerkin finite element method for the space–time discretization of a nonstationary convection–diffusion initial-boundary value problem with nonlinear convection and linear diffusion. The problem is not singularly perturbed with dominating convectio...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 117; no. 2; pp. 251 - 288
Main Authors:	Feistauer, Miloslav, Kučera, Václav, Najzar, Karel, Prokopová, Jaroslava
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.02.2011 Springer
Subjects:	Exact sciences and technology Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical analysis. Scientific computation Numerical and Computational Physics Numerical approximation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Simulation Theoretical 65M15 65M12 65M60 Discontinuous Galerkin method Numerical integration Grid pattern Error estimation Initial value problem Convection diffusion equation Nonlinear problems Boundary condition Optimal estimation Partial differential equation Discretization method Penalty method Polynomial time Numerical approximation Finite element method Interpolation Numerical analysis Boundary value problem
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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