Geodesic
Numerical treatment of 3-dimensional potential problem
Applications of Mathematics, Tome 33 (1988) no. 6, pp. 456-469
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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.
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.
DOI : 10.21136/AM.1988.104324
Classification : 31B10, 35J05, 35J15, 35J25, 35J67, 65E05, 65N30, 78-08, 78A20, 78A45
Keywords: 3-dimensional potential problem; Ritz-Galerkin approximation; convergence; diffraction; nonlocal boundary condition; finite elements 
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Drápalík, Vladimír; Janovský, Vladimír. Numerical treatment of 3-dimensional potential problem. Applications of Mathematics, Tome 33 (1988) no. 6, pp. 456-469. doi: 10.21136/AM.1988.104324

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