Add to ORKGAbstract. A spectral method using fully tensorial rational basis functions on tetrahedron, obtained from the polynomials on the reference cube through a collapsed coordinate transform, is proposed and analyzed. Theoretical and numerical results show that the rational approximation is as accurate as the polynomial approximation, but with a more effective implementation. Key Words. Spectral methods on tetrahedra, rational basis functions, spec-tral accuracy. 1
This thesis examines the extension of the Spectral Difference (SD) method on unstructured hybrid gri...
© 2022 American Physical Society.Many physical quantities in solid-state physics are calculated from...
This paper serves as our first effort to develop a new triangular spectral element method (TSEM) on ...
Abstract. A rational approximation in a triangle is proposed and analyzed in this paper. The rationa...
This monograph presents fundamental aspects of modern spectral and other computational methods, whic...
Spectral methods represent a family of methods for the numerical approximation of partial differenti...
Abstract We propose in this note a spectral method on triangles based on a new rectangle-to-triangle...
A spectral method for an unbounded domain is presented. Rational basis functions, which are algebrai...
Abstract: This paper gives an algorithm for identifying spectral densities using orthonormal basis f...
Abstract. In this paper, we investigate a spectral method for mixed boundary value problems defined ...
International audienceWe present a review in the construction of accurate and efficient multivariate...
We present some relations that allow the efficient approximate inversion of linear differential oper...
We present a numerical procedure to compute the nodes and weights in rational Gauss-Chebyshev quadra...
International audienceIn this paper, the Spectral Difference approach using Raviart-Thomas elements ...
In this paper, we implement and analyse a spectral element method (SEM) on hybrid triangular and qua...
This thesis examines the extension of the Spectral Difference (SD) method on unstructured hybrid gri...
© 2022 American Physical Society.Many physical quantities in solid-state physics are calculated from...
This paper serves as our first effort to develop a new triangular spectral element method (TSEM) on ...
Abstract. A rational approximation in a triangle is proposed and analyzed in this paper. The rationa...
This monograph presents fundamental aspects of modern spectral and other computational methods, whic...
Spectral methods represent a family of methods for the numerical approximation of partial differenti...
Abstract We propose in this note a spectral method on triangles based on a new rectangle-to-triangle...
A spectral method for an unbounded domain is presented. Rational basis functions, which are algebrai...
Abstract: This paper gives an algorithm for identifying spectral densities using orthonormal basis f...
Abstract. In this paper, we investigate a spectral method for mixed boundary value problems defined ...
International audienceWe present a review in the construction of accurate and efficient multivariate...
We present some relations that allow the efficient approximate inversion of linear differential oper...
We present a numerical procedure to compute the nodes and weights in rational Gauss-Chebyshev quadra...
International audienceIn this paper, the Spectral Difference approach using Raviart-Thomas elements ...
In this paper, we implement and analyse a spectral element method (SEM) on hybrid triangular and qua...
This thesis examines the extension of the Spectral Difference (SD) method on unstructured hybrid gri...
© 2022 American Physical Society.Many physical quantities in solid-state physics are calculated from...
This paper serves as our first effort to develop a new triangular spectral element method (TSEM) on ...