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 $p$.
Institute for Mathematics and Its Applications>IMA Preprints Series
Perugia, Ilaria; Schotzau, Dominik.
An hp-analysis of the local discontinuous Galerkin method for diffusion problems.
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