The Wave Concept Iterative Process Method in Spherical Coordinates

Three-dimensional anisotropic seismic wave modelling in spherical coordinates by a collocated-grid finite-difference method

S U M M A R Y To simulate seismic wave propagation in the spherical Earth, the Earth’s curvature has to be taken into account. This can be done by solving the seismic wave equation in spherical coordinates by numerical methods. In this paper, we use an optimized, collocated-grid finitedifference scheme to solve the anisotropic velocity–stress equation in spherical coordinates. To increase the e...

Residual Potential Method in Spherical Coordinates and Related Approximations

The Residual Potential Method, introduced by Geers [ l ] , appears to be a very promising technique in the solution of sol id-f luid interaction problems. The theoretical development of the method in cylindrical coordinates was presented in [1,2]. In [3], Geers presents some numerical results obtained using the Residual Potential Method in spherical coordinates; however, the theoretical treatme...

Efficiency And Convergence Of The Wave Concept Iterative Procedure

In some electromagnetic iterative methods, the convergence to the solution is slow and the stable solution is not always found. The present paper describes three methods used to improve the speed and the stability of the convergence process for the Wave Concept Iterative Procedure (WCIP). Two of these methods are not directly related to the electromagnetic fields computation and can be used in ...

The Laplacian in Spherical Polar Coordinates

Basic Notions and Applications of the Augmented Spherical Wave Method

The basic ideas of modern band theory and the functionality of state of the art calculational schemes are illustrated with the augmented spherical wave (ASW) method. Our description includes a short review of the underlying theory as well as a derivation of the most important formulas. We explain some steps toward the computational implementation and discuss aspects of practical application. Fi...