Unstructured, curved elements for the two‐dimensional high order discontinuous control‐volume/finite‐element method

Publisher: John Wiley & Sons Inc

ISSN: 0029-5981

Source: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Vol.102, Iss.1, 2015-04, pp. : 22-43

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Abstract

Quadrilateral and triangular elements with curved edges are developed in the framework of spectral, discontinuous, 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 exponential convergence of the method is verified in the presence of curved geometries. Copyright © 2014 John Wiley & Sons, Ltd.