Abstract
In this work we focus on C 1 maps from a reference domain to a family of deformed domains. The regularity of a map affects the approximation properties of the mapped mesh, and we use the regularity as a measure of the quality of the mesh. To compare the regularities of different maps we consider the convergence of the spectral element method when a Laplace problem is solved on the resulting meshes. C 1
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Acknowledgements
This work has been supported by the Research Council of Norway through a Centre of Excellence grant to the Center for Biomedical Computing.
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Løvgren, A.E., Maday, Y., Rønquist, E.M. (2011). The Spectral Element Method Used to Assess the Quality of a Global C 1 Map. In: Hesthaven, J., Rønquist, E. (eds) Spectral and High Order Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15337-2_42
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DOI: https://doi.org/10.1007/978-3-642-15337-2_42
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