We propose an efficient algorithm based on boundary operator equations for the numerical simulation of time-dependent waves in 3D. The algorithm employs the method of difference potentials combined with the (strong) Huygens' principle (lacunae of the solution). It can handle nonconforming boundaries on regular structured grids with no loss of accuracy and offers sublinear computational complexity.
|Title of host publication
|Continuum Mechanics, Applied Mathematics and Scientific Computing
|Subtitle of host publication
|Godunov's Legacy: A Liber Amicorum to Professor Godunov
|Springer International Publishing
|Number of pages
|Published - 3 Apr 2020