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Volumn 37, Issue 2, 1998, Pages 376-387

Optimizing the rate of decay of solutions of the wave equation using genetic algorithms: A counterexample to the constant damping conjecture

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; OPTIMIZATION; PROBLEM SOLVING; WAVE EQUATIONS;

EID: 0032202097     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0363012997329445     Document Type: Article
Times cited : (24)

References (13)
  • 1
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    • S. J. COX, Designing for optimal energy absorption III: Numerical minimization of the spectral abscissa, Structural Optimization, 13 (1997), pp. 17-22.
    • (1997) Structural Optimization , vol.13 , pp. 17-22
    • Cox, S.J.1
  • 2
    • 0030269056 scopus 로고    scopus 로고
    • Perturbing the critically damped wave equation
    • S. J. COX AND M. L. OVERTON, Perturbing the critically damped wave equation, SIAM J. Appl. Math., 56 (1996), pp. 1353-1362.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 1353-1362
    • Cox, S.J.1    Overton, M.L.2
  • 3
    • 0001205277 scopus 로고
    • The rate at which energy decays in a damped string
    • S. COX AND E. ZUAZUA, The rate at which energy decays in a damped string, Comm. Partial Differential Equations, 19 (1994), pp. 213-243.
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 213-243
    • Cox, S.1    Zuazua, E.2
  • 4
    • 0032361689 scopus 로고    scopus 로고
    • The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd
    • P. FREITAS, The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd, Discrete Contin. Dyn. Syst., 4 (1998), pp. 635-640.
    • (1998) Discrete Contin. Dyn. Syst. , vol.4 , pp. 635-640
    • Freitas, P.1
  • 5
    • 0033484089 scopus 로고    scopus 로고
    • Quadratic matrix polynomials with Hamiltonian spectrum and oscillatory damped systems
    • P. FREITAS, Quadratic matrix polynomials with Hamiltonian spectrum and oscillatory damped systems, Z. Angew. Math. Phys., 50 (1999), pp. 1-18.
    • (1999) Z. Angew. Math. Phys. , vol.50 , pp. 1-18
    • Freitas, P.1
  • 6
    • 0030147150 scopus 로고    scopus 로고
    • On some eigenvalue problems related to the wave equation with indefinite damping
    • P. FREITAS, On some eigenvalue problems related to the wave equation with indefinite damping, J. Differential Equations, 127 (1996), pp. 320-335.
    • (1996) J. Differential Equations , vol.127 , pp. 320-335
    • Freitas, P.1
  • 8
    • 0030579556 scopus 로고    scopus 로고
    • Stability results for the wave equation with indefinite damping
    • P. FREITAS AND E. ZUAZUA, Stability results for the wave equation with indefinite damping, J. Differential Equations, 132 (1996), pp. 338-352.
    • (1996) J. Differential Equations , vol.132 , pp. 338-352
    • Freitas, P.1    Zuazua, E.2
  • 13
    • 0000758187 scopus 로고
    • Spectral approximation for compact operators
    • J. E. OSBORN, Spectral approximation for compact operators, Math. Comp., 29 (1975), pp. 712-725.
    • (1975) Math. Comp. , vol.29 , pp. 712-725
    • Osborn, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.