an:01720956
Zbl 0997.65111
Castillo, Paul; Cockburn, Bernardo; Sch??tzau, Dominik; Schwab, Christoph
Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems
EN
Math. Comput. 71, No. 238, 455-478 (2002).
00084031
2002
j
65M15 65M60 35K15
a priori error estimate; one-dimensional convection-diffusion equation; approximating polynomial; locally conservative method.; \(hp\)-version; local discontinuous Galerkin method
The paper contains an a priori error estimate for the Galerkin method for one-dimensional convection-diffusion problem with Dirichlet boundary conditions. The error analysis takes into account both the meshsize of the element, \(h\), and the degree of the approximating polynomial in it, \(p\). This method is locally conservative and does not require any inter-element continuity. The results of the paper are some a priori estimates that are optimal both in \(h\) and \(p\).
P.B.Dubovski (Moskva)