Optimal a priori error estimates for the ℎ𝑝-version of the local discontinuous Galerkin method for convection–diffusion problems
Paul Castillo, Bernardo Cockburn, Dominik Schötzau, Christoph Schwab
Source record
Source: Crossref
Published: May 11, 2001
DOI: 10.1090/s0025-5718-01-01317-5
Open original source ↗Source abstract
We study the convergence properties of the h p hp -version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider a model problem in a one-dimensional space domain. We allow arbitrary meshes and polynomial degree distributions and obtain upper bounds for the energy norm of the error which are explicit in the mesh-width h h , in the polynomial degree p p , and in the regularity of the exact solution. We identify a special numerical flux for which the estimates are optimal in both h h and p p . The theoretical results are confirmed in a series of numerical examples.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.