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Test3d17.dat, 17th 'test' file for CPO3D

Capacitance and corner singularities of a tetrahedron.

For detailed information see the paper 'Capacitances and singularities of the unit triangle, square, tetrehadron and cube' by F H Read, COMPEL, VOL 23, 572-578 (2004) and the footnotes of the following data files:

test3d06: Capacitance of a cube.

test3d07: Capacitance of a sphere.

test3d15: Capacitance of a circular disc.

test3d17: Capacitance and singularities of a tetrahedron.

test3d18: Capacitance of a unit square.

test3d19: Capacitance of a unit triangle, and summary of capacitance tests.

The capacitances of a sphere and disc are found essentially exactly, within the given number of digits -see F. H. Read, J. Computational Physics 133, 1-5 (1997).

Summary of the capacitances of a square, tetrahedron and cube:

Capacitance                                 exponent

                                                              along                      across