A. Sommerfeld. Lectures on Theoretical Physics, volume 6 (Partial Differential Equations), chapter 28. Academic Press, 1964. Home/Search Document Not in Database Summary Related Articles Check |
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Computation of Discrete Transparent Boundary Conditions for the.. - Schmidt (2001) (1 citation) (Correct)
....conditions. Concerning the Helmholtz equation with homogeneous exterior domains, there are a large number of proposals to derive suitable boundary conditions. First, and most important, are the Sommerfeld like boundary conditions based on Sommerfeld s famous asymptotic boundary condition, [3], r u Gamma in 0 k 0 u = o(r ) Then there are the nonlocal Dirichlet to Neumann boundary conditions for separable coordinate systems [4] and [5] the family of corresponding local and asymptotic approximations [6] infinite element methods [7] and the various kinds of boundary element ....
A. Sommerfeld. Lectures on Theoretical Physics, volume 6 (Partial Differential Equations), chapter 28. Academic Press, 1964.
An Alternative Derivation of the Exact DtN-Map on a Circle - Schmidt (1998) (Correct)
....in Omega Gamma ff; fi; g are given functions and (1) is the famous Sommerfeld radiation condition. The purpose of the radiation condition is to allow only outgoing waves at infinity. Sommerfeld formulated the condition in a 1912 paper [13] and dealt with it also in his famous lecture notes [14]. To derive the condition, he argues as follows. In the potential theoretic limit (k 0) we know that the knowledge of the sources supplemented with zero boundary conditions at infinity is enough to derive a unique solution. In the case of the timeharmonic wave equation, where the time dependence ....
A. Sommerfeld. Lectures on Theoretical Physics, volume 6 (Partial Differential Equations), chapter 28. Academic Press, 1964.
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