The spectral element method (SEM) is a powerful tool to study wave propagation. Its main advantages are its accuracy and efficiency. Much work has been done to study the accuracy of SEM in quadrilateral elements, but the accuracy of this method using triangular elements is not well understood. In this paper, we try to study the dispersion behaviors in triangular mesh by introducing two different types of nodes (Fekete points and Cohen points). The Fekete points are determined by minimizing the interpolation errors inside the element, while Cohen nodes are obtained by optimizing the accuracy of the quadrature rule. We analyze the grid dispersion of these two types of nodes by considering the ‘X’ type triangular mesh. The analyses are based on the plane wave assumption by solving an eigenvalue problem. Our results indicate that, considering the same polynomial order, employing Cohen nodes require more nodes per element but yield more accurate results compared to the Fekete points. Furthermore, the analysis suggests that higher order polynomials will improve the accuracy for both Fekete and Cohen nodes, which is the case for quadrilateral elements.


Article metrics loading...

Loading full text...

Full text loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error