Error-driven dynamical hp-meshes with the Discontinuous Galerkin Method for three-dimensional wave propagation problems

• Autores: Sascha Schnepp
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 270, Nº 1, 2014, págs. 353-368
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.12.038
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• Resumen

  • An hp-adaptive Discontinuous Galerkin Method for electromagnetic wave propagation phenomena in the time domain is proposed. The method is highly efficient and allows for the first time the adaptive full-wave simulation of large, time-dependent problems in three-dimensional space. Refinement is performed anisotropically in the approximation order p and the mesh step size h regardless of the resulting level of hanging nodes. For guiding the adaptation process a variant of the concept of reference solutions with largely reduced computational costs is proposed. The computational mesh is adapted such that a given error tolerance is respected throughout the entire time-domain simulation.