Spectral Schemes on Triangular Elements

Triangular and tetrahedral spectral elements

In this paper we present a new unstructured spectral element method for use on triangular and tetrahedral subdomains. The algorithm maintains the accuracy and efficiency of standard quadrilateral/hexahedral spectral element methods but offers greater adaptivity. Standard unstructured meshes can be used and the order of the polynomial expansion can be varied within each triangular/tetrahedral su...

Comparison of some isoparametric mappings for curved triangular spectral elements

High Order Fluctuation Schemes on Triangular Meshes

We develop a new class of schemes for the numerical solution of first-order steady conservation laws. The schemes are of the residual distribution, or fluctuation-splitting type. These schemes have mostly been developed in the context of triangular or tetrahedral elements whose degrees of freedom are their nodal values. We work here with more general elements that allow high-order accuracy. We ...

Improved Triangular Subdivision Schemes

In this article we improve the butterfly and Loop’s algorithm. As a result we obtain subdivision algorithms for triangular nets which can be used to generate G and G surfaces, respectively.

A stable high-order Spectral Difference method for hyperbolic conservation laws on triangular elements

Article history: Received 3 May 2011 Received in revised form 19 October 2011 Accepted 28 November 2011 Available online 9 December 2011