An hp-analysis of the local discontinuous Galerkin method for diffusion problems

Perugia, Ilaria
Schotzau, Dominik
2001-06
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An hp-analysis of the local discontinuous Galerkin method for diffusion problems

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2001-06

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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 $p$.

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Perugia, Ilaria; Schotzau, Dominik. (2001). An hp-analysis of the local discontinuous Galerkin method for diffusion problems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3653.

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