b) Irrespective of anything given above, we may assume that the space is described by a system of curvilinear coordinates
For a general curved hexahedral subdomain, a curvilinear coordinate
transformation in terms of the Lagrange polynomials [22, 26] can be employed,
In order to develop field equations, base vectors, metric coefficients and Christoffel symbols are used in the curvilinear coordinates
in a domain designated by the curvilinear coordinates
in which the range of [xi] is determined by the constants [a.
Sokolnikoff (4) developed a virtual work expression in general curvilinear coordinates
Fusco, "FDTD Algorithm in Curvilinear Coordinates
," IEEE Transactions Antennas Propagation, Vol.
To achieve this, the text's discussion of geometry and curvilinear coordinates
is far more detailed than is normally found in textbooks at this level.
Techniques for integration in curvilinear coordinates
described by Narasimhan (8) were employed.
Appendix 2A Strain-Displacement Relations in Orthogonal Curvilinear Coordinates