Unstructured, curved elements for the two‐dimensional high order discontinuous control‐volume/finite‐element method. (29th December 2014)

• Record Type: Journal Article
• Authors: Stipcich, G.; Piller, M.
• Is Part Of: International journal for numerical methods in engineering. Volume 102:Number 1(2015)
• Page Start: 22
• Page End: 43
• Publication Date: 2014-12-29
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4844
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4844-abs-0001"> <title>Summary</title> <p id="nme4844-para-0001">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 &amp; Sons, Ltd.</p> </abstract>