Tetrahedral and Voxel Finite Elements with Orthogonal Discontinuous Basis Functions for Explicit Scalar Wave Propagation Analysis

Scalar wave propagation analysis is one of the fundamental types of analysis used in many fields and has been the subject of much research. As measurement data accumulates, the need for faster and more accurate analysis using more detailed models has arisen. This paper proposes tetrahedral and voxel finite elements based on orthogonal discontinuous functions that enable fast and accurate analysis. Through accuracy and cost analysis on recent computers with actual implementations, we show that the cost of analysis can be significantly reduced and that faster and more accurate wave analysis can be expected as shown in the application example. In addition, many problems lead to operations with a large number of relatively small matrix-vector products like the problem in this paper. This paper showed that such computation can be handled efficiently by implementations taking advantage of recent computers, and is expected to provide insight for problems with similar operations.