Assuming an incident wave to be a field source, we calculate the field potential in a neighborhood of an inhomogeneous body. This problem which has been formulated in $\bold R^3$can be reduced to a bounded domain. Namely, a boundary condition for the potential is formulated on a sphere. Then the potential satisfies a well posed boundary value problem in a ball containing the body. A numerical approximation is suggested and its convergence is analyzed.
@article{104324, author = {Vladim\'\i r Dr\'apal\'\i k and Vladim\'\i r Janovsk\'y}, title = {Numerical treatment of 3-dimensional potential problem}, journal = {Applications of Mathematics}, volume = {33}, year = {1988}, pages = {456-469}, zbl = {0694.65052}, mrnumber = {0973240}, language = {en}, url = {http://dml.mathdoc.fr/item/104324} }
Drápalík, Vladimír; Janovský, Vladimír. Numerical treatment of 3-dimensional potential problem. Applications of Mathematics, Tome 33 (1988) pp. 456-469. http://gdmltest.u-ga.fr/item/104324/
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