Title
An hp-analysis of the local discontinuous Galerkin method for diffusion problems
Abstract
We present an $hp$-analysis of the local discontinuous Galerkin method for diffusion problems, considering unstructured meshes with hanging nodes and two- and three-dimensional domains. Our estimates are optimal in the meshsize $h$ and slightly suboptimal in the polynomial approximation order $p$.
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
Suggested Citation
Perugia, Ilaria; Schotzau, Dominik.
(2001).
An hp-analysis of the local discontinuous Galerkin method for diffusion problems.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/3653.