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Maurice Jaswon and boundary element methods. (English) Zbl 1352.65002

Summary: In the direct boundary integral equation method, boundary-value problems are reduced to integral equations by an application of Green’s theorem to the unknown function and a fundamental solution (Green’s function). Discretization of the integral equation then leads to a boundary element method. This approach was pioneered by Jaswon and his students in the early 1960s. Jaswon’s work is reviewed together with his influence on later workers.

MSC:

65-03 History of numerical analysis
01A70 Biographies, obituaries, personalia, bibliographies
65N38 Boundary element methods for boundary value problems involving PDEs

Biographic References:

Jaswon, Maurice
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References:

[1] Anonymous. Obituary: Maurice Jaswon. The Daily Telegraph, London, 25 December 2011. The obituary is anonymous but it was drafted by John R. Willis, Cambridge, \( \langle\) http://www.telegraph.co.uk/news/obituaries/technology-obituaries/8977347/Maurice-Jaswon.html#.TzlQxTZBeqo.email \(\rangle \); Anonymous. Obituary: Maurice Jaswon. The Daily Telegraph, London, 25 December 2011. The obituary is anonymous but it was drafted by John R. Willis, Cambridge, \( \langle\) http://www.telegraph.co.uk/news/obituaries/technology-obituaries/8977347/Maurice-Jaswon.html#.TzlQxTZBeqo.email \(\rangle \)
[2] Brebbia, C. A.; Cheng, A. H.D., Obituary: Maurice Jaswon, 1922-2011, Eng Anal Boundary Elem, 36, iii-iv (2012), http://dx.doi.org/10.1016/S0955-7997(12)00062-8 · Zbl 1351.01020
[3] Cheng, A. H.D.; Cheng, D. T., Heritage and early history of the boundary element method, Eng Anal Boundary Elem, 29, 268-302 (2005), http://dx.doi.org/10.1016/j.enganabound.2004.12.001 · Zbl 1182.65005
[4] Chertock, G., Sound radiation from vibrating surfaces, J Acoust Soc Amer, 36, 1305-1313 (1964), http://dx.doi.org/10.1121/1.1919203
[5] Cottrell, A. H., Dislocations and plastic flow in crystals (1953), Oxford University Press: Oxford University Press Oxford · Zbl 0052.23707
[6] de Wit, R., The continuum theory of stationary dislocations, Solid State Phys, 10, 249-292 (1960), http://dx.doi.org/10.1016/S0081-1947(08)60703-1
[7] Duff, G. F.D., Partial differential equations (1956), University of Toronto Press: University of Toronto Press Toronto · Zbl 0071.30903
[8] Eshelby, J. D., The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc R Soc A, 241, 376-396 (1957), http://dx.doi.org/10.1098/rspa.1957.0133 · Zbl 0079.39606
[9] Eshelby, J. D., The elastic field outside an ellipsoidal inclusion, Proc R Soc A, 252, 561-569 (1959), http://dx.doi.org/10.1098/rspa.1959.0173 · Zbl 0092.42001
[10] Green, A. E.; Zerna, W., Theoretical elasticity (1954), Oxford University Press: Oxford University Press Oxford, [The 2nd edition was published in 1968 and was reprinted by Dover in 1992] · Zbl 0056.18205
[11] Kellogg, O. D., Foundations of potential theory (1929), Springer: Springer Berlin, [Reprinted by Dover in 1953] · JFM 55.0282.01
[12] Love, A. E.H., A treatise on the mathematical theory of elasticity (1927), Cambridge University Press: Cambridge University Press Cambridge, [Reprinted by Dover in 1944] · JFM 53.0752.01
[13] Lovitt, W. N., Linear integral equations (1924), McGraw-Hill: McGraw-Hill New York, [Reprinted by Dover in 1950] · JFM 50.0290.05
[14] Ponter, A. R.S., An integral equation solution of the inhomogeneous torsion problem, SIAM J Appl Math, 14, 819-830 (1966), http://dx.doi.org/10.1137/0114069 · Zbl 0146.21705
[15] Ponter, A. R.S., On plastic torsion, Int J Mech Sci, 8, 227-235 (1966), http://dx.doi.org/10.1016/0020-7403(66)90038-5 · Zbl 0138.21403
[16] Rizzo, F. J., An integral equation approach to boundary value problems in classical elastostatics, Q Appl Math, 25, 83-95 (1967) · Zbl 0158.43406
[17] Rizzo, F. J., The boundary element method. Some early history—a personal view, (Beskos, D. E., Boundary element methods in structural analysis (1989), ASCE: ASCE New York), 1-16
[18] Symm, G. T., Integral equation methods in potential theory. II, Proc R Soc A, 275, 33-46 (1963), http://dx.doi.org/doi:10.1098/rspa.1963.0153 · Zbl 0112.33201
[19] Symm, G. T., An integral equation method in conformal mapping, Numerische Math, 9, 250-258 (1966), http://dx.doi.org/10.1007/BF02162088 · Zbl 0156.16901
[20] Willis, J. R., Anisotropic elastic inclusion problems, Q J Mech Appl Math, 17, 157-174 (1964), http://dx.doi.org/10.1093/qjmam/17.2.157 · Zbl 0119.39602
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