PSEUDO-SPECTRAL DIFFERENTIATION ON A TRIANGLE AND ITS APPLICATION TO A TRIANGULAR MESH FOR A PLANAR DOMAIN WITH IRREGULAR CONTOUR
Keywords:
collocation methods, Fekete points, spectral elements methods, pseudo-spectral differentiation, spectral accuracy.DOI:
https://doi.org/10.17654/0975045224001Abstract
The computational methods of numerical analysis are growing more and more important in modern-day scientific research. Among the wide variety of numerical algorithms, the pseudo-spectral differentiation technique is gaining increasing popularity. In this paper, we focus on the application of this algorithm in planar domains with an irregular boundary contour. We present a novel approach to differentiate functions on a triangular domain using pseudo-spectral differentiation. We apply this method to a triangular mesh of a planar domain with irregular contour and validate the effectiveness of our approach through numerical experiments.
Received: June 9, 2023
Accepted: July 20, 2023
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