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Volumn 166, Issue , 2005, Pages 147-158

Modeling of topology variations in elasticity

Author keywords

Asymptotic analysis; Elliptic operators; Shape optimization; Singular perturbations; Topology optimization

Indexed keywords

ASYMPTOTIC ANALYSIS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; TOPOLOGY;

EID: 84860758560     PISSN: 18684238     EISSN: None     Source Type: Book Series    
DOI: 10.1007/0-387-23467-5_9     Document Type: Conference Paper
Times cited : (5)

References (23)
  • 1
    • 0032219231 scopus 로고    scopus 로고
    • Integral characteristics of rigid inclusions and cavities in the twodimensional theory of elasticity
    • English translation in: J. Appl. Maths Mechs, 62(1998) 263-268
    • I. I. Argatov. Integral characteristics of rigid inclusions and cavities in the twodimensional theory of elasticity. Prikl. Mat. Mekh., 62: 283-289, 1998 (English translation in: J. Appl. Maths Mechs, 62(1998) 263-268).
    • (1998) Prikl. Mat. Mekh , vol.62 , pp. 283-289
    • Argatov, I.I.1
  • 2
    • 84893450817 scopus 로고
    • Long-wave asymptotics in problems of the scattering of elastic waves
    • (Russian). Mat. Voprosy Teor. Rasprostr. Voln. 16, 6-19, 184; (English translation in: J. Soviet Math. 50 (1990), no. 4, 1685-1693)
    • V. M. Babich and M. I. Ivanov. Long-wave asymptotics in problems of the scattering of elastic waves. (Russian). Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 156 (1986), Mat. Voprosy Teor. Rasprostr. Voln. 16, 6-19, 184; (English translation in: J. Soviet Math. 50 (1990), no. 4, 1685-1693).
    • (1986) Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) , vol.156
    • Babich, V.M.1    Ivanov, M.I.2
  • 3
    • 0000447975 scopus 로고
    • Remark on the Schrdinger equation with singular potential
    • English translation in: Soviet Math. Dokl 2(1961) 372-375
    • F. A. Berezin and L. D. Faddeev. Remark on the Schrdinger equation with singular potential. Dokl. Alcad. Nauk SSSR, 137: 1011-1014, 1961 (English translation in: Soviet Math. Dokl 2(1961) 372-375).
    • (1961) Dokl. Alcad. Nauk SSSR , vol.137 , pp. 1011-1014
    • Berezin, F.A.1    Faddeev, L.D.2
  • 4
    • 0035458266 scopus 로고    scopus 로고
    • Asymptotics of eigenvalues of a plate with small clamped zone
    • A. Campbell and S. A. Nazarov. Asymptotics of eigenvalues of a plate with small clamped zone. Positivity, 3: 275-295, 2001.
    • (2001) Positivity , vol.3 , pp. 275-295
    • Campbell, A.1    Nazarov, S.A.2
  • 6
    • 0001069271 scopus 로고
    • A boundary value problem for the elliptic equation of second order in a domain with a narrow slit. I
    • English translation in: Math. USSR Sbornik 28(1976)
    • A. M. Il'in. A boundary value problem for the elliptic equation of second order in a domain with a narrow slit. I. The two-dimensional case. Mat. Sb., 99: 514-537, 1976 (English translation in: Math. USSR Sbornik 28(1976).
    • (1976) The two-dimensional case. Mat. Sb , vol.99 , pp. 514-537
    • Il'in, A.M.1
  • 7
    • 0004005783 scopus 로고
    • Matching of Asymptotic Expansions of Solutions of Boundary Value Problems
    • American Mathematical Society, Providence, RI
    • A. M. Il'in. Matching of Asymptotic Expansions of Solutions of Boundary Value Problems, volume 102 of Translations of Mathematical Monographs. American Mathematical Society, Providence, RI, 1992.
    • (1992) Volume 102 of Translations of Mathematical Monographs
    • Il'in, A.M.1
  • 9
    • 0013050207 scopus 로고    scopus 로고
    • Spectral problems in singular perturbed domains and self adjoint extensions of differential operators
    • English translation in: Proceedings of the St. Petersburg Mathematical Society, 6(2000) 127-181, Amer. Math. Soc. Transl. Ser. 2, 199, Amer. Math. Soc., Providence, RI
    • I. V. Kamotski and S. A. Nazarov. Spectral problems in singular perturbed domains and self adjoint extensions of differential operators. Trudy St.-Petersburg Mat. Obshch., 6: 151-212, 1998(English translation in: Proceedings of the St. Petersburg Mathematical Society, 6(2000) 127-181, Amer. Math. Soc. Transl. Ser. 2, 199, Amer. Math. Soc., Providence, RI).
    • (1998) Trudy St.-Petersburg Mat. Obshch , vol.6 , pp. 151-212
    • Kamotski, I.V.1    Nazarov, S.A.2
  • 12
    • 0000369741 scopus 로고
    • Asymptotic expansions of the eigenvalues of boundary value problems for the laplace operator in domains with small holes
    • (English translation in: Math. USSR Izvestiya 24(1985) 321-345
    • V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii. Asymptotic expansions of the eigenvalues of boundary value problems for the laplace operator in domains with small holes. Izv. Akad. Nauk SSSR. Ser. Mat., 48: 347-371, 1984 (English translation in: Math. USSR Izvestiya 24(1985) 321-345.
    • (1984) Izv. Akad. Nauk SSSR. Ser. Mat , vol.48 , pp. 347-371
    • Maz'ya, V.G.1    Nazarov, S.A.2    Plamenevskii, B.A.3
  • 14
    • 84902479279 scopus 로고
    • Vestink Leningrad University, (English translation in: Vestnik Leningrad Univ. Math. 22 (1989), no. 1, 50-55
    • A. B. Movchan. Oscillations of elastic bodies with small holes. Vestink Leningrad University, 1: 33-37, 1989 (English translation in: Vestnik Leningrad Univ. Math. 22 (1989), no. 1, 50-55.
    • (1989) Oscillations of elastic bodies with small holes , vol.1 , pp. 33-37
    • Movchan, A.B.1
  • 15
    • 0013048547 scopus 로고
    • Selfadjoint extensions of the Dirichlet problem operator in weighted function spaces
    • (English translation in: Math. USSR Sbornik 65(1990) 229-247)
    • S. A. Nazarov. Selfadjoint extensions of the Dirichlet problem operator in weighted function spaces. Mat. sbornik, 137: 224-241, 1988 (English translation in: Math. USSR Sbornik 65(1990) 229-247).
    • (1988) Mat. sbornik , vol.137 , pp. 224-241
    • Nazarov, S.A.1
  • 16
    • 0013094091 scopus 로고
    • Two-term asymptotics of solutions of spectral problems with singular perturbations
    • (English translation in: Math. USSR. Sbornik 69(1991) 307-340)
    • S. A. Nazarov. Two-term asymptotics of solutions of spectral problems with singular perturbations. Mat. sbornik., 69: 291-320, 1991 (English translation in: Math. USSR. Sbornik 69(1991) 307-340).
    • (1991) Mat. sbornik , vol.69 , pp. 291-320
    • Nazarov, S.A.1
  • 17
    • 0000562217 scopus 로고    scopus 로고
    • Asymptotic conditions at points, self adjoint extensions of operators and the method of matched asymptotic expansions
    • (English translation in: Trans. Am. Math. Soc. Ser. 2. 193(1999) 77-126)
    • S. A. Nazarov. Asymptotic conditions at points, self adjoint extensions of operators and the method of matched asymptotic expansions. Trudy St.-Petersburg Mat. Obshch., 5: 112-183, 1996 (English translation in: Trans. Am. Math. Soc. Ser. 2. 193(1999) 77-126).
    • (1996) Trudy St.-Petersburg Mat. Obshch , vol.5 , pp. 112-183
    • Nazarov, S.A.1
  • 20
    • 0002039451 scopus 로고
    • The theory of extension and explicitly soluble models
    • (English translation in: Soviet Math. Surveys 42(1987) 127-168
    • B. S. Pavlov. The theory of extension and explicitly soluble models. Uspehi Mat. Nauk, 42: 99-131, 1987 (English translation in: Soviet Math. Surveys 42(1987) 127-168.
    • (1987) Uspehi Mat. Nauk , vol.42 , pp. 99-131
    • Pavlov, B.S.1
  • 23
    • 3242693022 scopus 로고    scopus 로고
    • Optimality conditions for simultaneous topology and shape optimization
    • J. Sokolowski and A. Ochowski. Optimality conditions for simultaneous topology and shape optimization. SIAM Journal on Control and Optimization, 42: 1198-1221, 2003.
    • (2003) SIAM Journal on Control and Optimization , vol.42 , pp. 1198-1221
    • Sokolowski, J.1    Ochowski, A.2


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