2001/01/04 by Federico Fontana, Fontana, Federico, Davide Rocchesso +1
Earth and Planetary Sciences · Engineering · #FOS: Computer and information sciences #FOS: Mathematics #G.1.8 #H.5.5 #Numerical Analysis (math.NA) #Seismic Waves and Analysis #Sound (cs.SD) #Structural Health Monitoring Techniques #Ultrasonics and Acoustic Wave Propagation #Underwater Acoustics Research
paper · pdf · doi:10.48550/arxiv.cs/0101003
openalex publication_date 2001/01/04 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
Waveguide Meshes are efficient and versatile models of wave propagation along\na multidimensional ideal medium. The choice of the mesh geometry affects both\nthe computational cost and the accuracy of simulations. In this paper, we focus\non 2D geometries and use multidimensional sampling theory to compare the\nsquare, triangular, and hexagonal meshes in terms of sampling efficiency and\ndispersion error under conditions of critical sampling. The analysis shows that\nthe triangular geometry exhibits the most desirable tradeoff between accuracy\nand computational cost.\n