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Volume integrals of ellipsoids associated with the inhomogeneous Helmholtz equation. (English) Zbl 0479.73026

74J99Waves (solid mechanics)
35J05Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35C15Integral representations of solutions of PDE
41A58Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
Full Text: DOI
[1] Morse, P. M.; Feshbach, H.: Methods of theoretical physics. (1953) · Zbl 0051.40603
[2] Tai, Chen-To: Dyadic Green’s functions in electromagnetic theory. (1971)
[3] Bowman, J. J.; Senior, T. B. A.; Uslenghi, P. L. E.: Electromagnetic and acoustic scattering by simple shapes. (1969)
[4] Jones, D. S.: The theory of magnetism. (1964) · Zbl 0121.21604
[5] Fu, L. S.; Mura, T.: Elastodynamic fields of an ellipsoidal inhomogeneity. Presented at the 18th annual meeting of eng. Sci. soc. (Sept. 1981)
[6] Fu, L. S.: Fundamental aspects in the quantitative ultrasonic determination of fracture toughness: general equations. NASA contractor report 3445 (July, 1981)
[7] Dyson, F. W.: Quart. pure appl. Math.. 25, 259-288 (1891)
[8] Moshovidis, Z. A.: Ph.d. dissertation. (1975)
[9] Mura, T.: Applied micromechanics. 73 (1981) · Zbl 0472.73115
[10] Routh, R. J.: Phil. trans. Roy. soc.. 186-II, 897-950 (1895)