Quadrilateral and triangular elements with curved edges are developed in the framework of spectral, discon- tinuous, hybrid control-volume/finite-element method for elliptic problems. In order to accommodate hybrid meshes, encompassing both triangular and quadrilateral elements, one single mapping is used. The scheme is applied to two-dimensional problems with discontinuous, anisotropic diffusion coefficients, and the expo- nential convergence of the method is verified in the presence of curved geometries.
Unstructured, curved elements for the two-dimensional high order discontinuous control-volume/finite-element method
PILLER, MARZIO
2014-01-01
Abstract
Quadrilateral and triangular elements with curved edges are developed in the framework of spectral, discon- tinuous, hybrid control-volume/finite-element method for elliptic problems. In order to accommodate hybrid meshes, encompassing both triangular and quadrilateral elements, one single mapping is used. The scheme is applied to two-dimensional problems with discontinuous, anisotropic diffusion coefficients, and the expo- nential convergence of the method is verified in the presence of curved geometries.File in questo prodotto:
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