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Volumn 5, Issue 2, 1998, Pages 129-155

A Multiresolution Strategy for Reduction of Elliptic PDEs and Eigenvalue Problems

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EID: 0003294834     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1997.0226     Document Type: Article
Times cited : (41)

References (30)
  • 1
    • 0000139676 scopus 로고
    • 2 for the sparse representation of integral operators
    • 2 for the sparse representation of integral operators, SIAM J. Math. Anal. 24(1) (1993), 246-262.
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.1 , pp. 246-262
    • Alpert, B.1
  • 3
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms, I
    • Yale University Technical Report YALEU/DCS/RR-696, August 1989
    • G. Beylkin, R. R. Coifman, and V. Rokhlin, Fast wavelet transforms and numerical algorithms, I, Comm. Pure Appl. Math. 44 (1991), 141-183; Yale University Technical Report YALEU/DCS/RR-696, August 1989.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 141-183
    • Beylkin, G.1    Coifman, R.R.2    Rokhlin, V.3
  • 4
    • 0001542801 scopus 로고
    • A multiresolution strategy for numerical homogenization
    • M. E. Brewster and G. Beylkin, A multiresolution strategy for numerical homogenization, Appl. Comput. Harmon. Anal. 2 (1995), 327-349; PAM Report 187, 1994.
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , pp. 327-349
    • Brewster, M.E.1    Beylkin, G.2
  • 5
    • 0001542801 scopus 로고
    • M. E. Brewster and G. Beylkin, A multiresolution strategy for numerical homogenization, Appl. Comput. Harmon. Anal. 2 (1995), 327-349; PAM Report 187, 1994.
    • (1994) PAM Report 187
  • 6
    • 0023844441 scopus 로고
    • One-dimensional wave propagation in a highly discontinuous medium
    • R. Burridge, G. S. Papanicolaou, and B. S. White, One-dimensional wave propagation in a highly discontinuous medium, Wave Motion 10(1) (1988), 19-44.
    • (1988) Wave Motion , vol.10 , Issue.1 , pp. 19-44
    • Burridge, R.1    Papanicolaou, G.S.2    White, B.S.3
  • 7
    • 0000323375 scopus 로고    scopus 로고
    • Multigrid methods for nearly singular linear equations and eigenvalues problems
    • to appear
    • Z. Cai, J. Mandel, and S. McCormick, Multigrid methods for nearly singular linear equations and eigenvalues problems, SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal.
    • Cai, Z.1    Mandel, J.2    McCormick, S.3
  • 9
    • 0012123163 scopus 로고
    • Algebraic multigrid methods and the Schur complement
    • "Robust Multigrid Methods (Kiel, 1988)," Vieweg, Braunschweig
    • W. Dahmen and L. Elsner, Algebraic multigrid methods and the Schur complement, in "Robust Multigrid Methods (Kiel, 1988)," Notes Numer. Fluid Mech., Vol. 23, pp. 58-68. Vieweg, Braunschweig, 1989.
    • (1989) Notes Numer. Fluid Mech. , vol.23 , pp. 58-68
    • Dahmen, W.1    Elsner, L.2
  • 12
    • 0000007919 scopus 로고    scopus 로고
    • A comparison of multiresolution and classical homogenization schemes
    • A. Gilbert, A comparison of multiresolution and classical homogenization schemes. Appl. Comput. Harmon Anal. 5 (1998), 1-35.
    • (1998) Appl. Comput. Harmon Anal. , vol.5 , pp. 1-35
    • Gilbert, A.1
  • 13
    • 0000496373 scopus 로고    scopus 로고
    • LU factorization of non-standard forms and direct multiresolution solvers
    • D. L. Gines, G. Beylkin, and J. Dunn, LU factorization of non-standard forms and direct multiresolution solvers, Appl. Comput. Harmon. Anal. 5 (1998) 156-201; PAM Report, 1996.
    • (1998) Appl. Comput. Harmon. Anal. , vol.5 , pp. 156-201
    • Gines, D.L.1    Beylkin, G.2    Dunn, J.3
  • 14
    • 0000496373 scopus 로고    scopus 로고
    • D. L. Gines, G. Beylkin, and J. Dunn, LU factorization of non-standard forms and direct multiresolution solvers, Appl. Comput. Harmon. Anal. 5 (1998) 156-201; PAM Report, 1996.
    • (1996) PAM Report
  • 15
    • 0007197031 scopus 로고
    • Propriétés des matrices bien localisees près de leur diagonale et quelques applications
    • S. Jaffard, Propriétés des matrices bien localisees près de leur diagonale et quelques applications. Ann. Inst. H. Poincaré Anal. Non. Linéaire 7(5) (1990), 461-476.
    • (1990) Ann. Inst. H. Poincaré Anal. Non. Linéaire , vol.7 , Issue.5 , pp. 461-476
    • Jaffard, S.1
  • 16
    • 0002544154 scopus 로고
    • The diameter of the first nodal line of a convex domain
    • D. Jerison, The diameter of the first nodal line of a convex domain. Ann. of Math. 141 (1995), 1-33.
    • (1995) Ann. of Math. , vol.141 , pp. 1-33
    • Jerison, D.1
  • 19
    • 0018673161 scopus 로고
    • Homogenization of elliptic eigenvalue problems: Part 1
    • S. Kesavan, Homogenization of elliptic eigenvalue problems: Part 1, Appl. Math. Optim. 5(2) (1979), 153-167.
    • (1979) Appl. Math. Optim. , vol.5 , Issue.2 , pp. 153-167
    • Kesavan, S.1
  • 20
    • 0018678574 scopus 로고
    • Homogenization of elliptic eigenvalue problems: Part 2
    • S. Kesavan, Homogenization of elliptic eigenvalue problems: Part 2, Appl. Math. Optim. 5(3) (1979), 197-216.
    • (1979) Appl. Math. Optim. , vol.5 , Issue.3 , pp. 197-216
    • Kesavan, S.1
  • 22
    • 0000677797 scopus 로고
    • A multilevel variational method for Au = λBu on composite grids
    • J. Mandel and S. McCormick, A multilevel variational method for Au = λBu on composite grids, J. Comput. Phys. 80 (1989), 442-452.
    • (1989) J. Comput. Phys. , vol.80 , pp. 442-452
    • Mandel, J.1    McCormick, S.2
  • 23
    • 0028730998 scopus 로고
    • Multigrid adaptive methods for elliptic eigenproblems: A two-level convergence theory
    • S. F. McCormick, Multigrid adaptive methods for elliptic eigenproblems: A two-level convergence theory, SINUM 31(6) (1994), 1731-1745.
    • (1994) SINUM , vol.31 , Issue.6 , pp. 1731-1745
    • McCormick, S.F.1
  • 25
    • 38149143461 scopus 로고
    • Generalized uncertainty principles on spaces of homogeneous type
    • A. R. Nahmod, Generalized uncertainty principles on spaces of homogeneous type, J. Funct. Anal. 119 (1994), 171-209.
    • (1994) J. Funct. Anal. , vol.119 , pp. 171-209
    • Nahmod, A.R.1
  • 26
    • 0003259580 scopus 로고
    • Problems and Theorems in Linear Algebra
    • American Mathematical Society, Providence, RI
    • V. V. Prasolov, "Problems and Theorems in Linear Algebra," Translations of Mathematical Monographs, Vol. 134, American Mathematical Society, Providence, RI, 1994.
    • (1994) Translations of Mathematical Monographs , vol.134
    • Prasolov, V.V.1
  • 28
    • 0027933252 scopus 로고
    • Towards effective parameter theories using multiresolution decomposition
    • B. Z. Steinberg and J. J. McCoy, Towards effective parameter theories using multiresolution decomposition, J. Acoust. Soc. Amer. 96 (1994), 1130-1143.
    • (1994) J. Acoust. Soc. Amer. , vol.96 , pp. 1130-1143
    • Steinberg, B.Z.1    McCoy, J.J.2
  • 29
    • 0000440966 scopus 로고
    • Compensated Compactness and Applications to Partial Differential Equations
    • Pitman, New York
    • L. Tartar, "Compensated Compactness and Applications to Partial Differential Equations," Heriot-Watt Symposium, Vol. IV, Pitman, New York, 1979.
    • (1979) Heriot-Watt Symposium , vol.4
    • Tartar, L.1
  • 30
    • 0345889634 scopus 로고    scopus 로고
    • Wavelets: Theory and Application
    • (G. Erlebacher, M. Y. Hussaini, and L. Jameson, Eds.), Oxford Univ. Press, New York
    • P. Tchamitchian, in "Wavelets: Theory and Application" (G. Erlebacher, M. Y. Hussaini, and L. Jameson, Eds.), pp. 83-181, ICASE/LaRC Series in Computational Science and Engineering. Oxford Univ. Press, New York, 1996.
    • (1996) ICASE/LaRC Series in Computational Science and Engineering , pp. 83-181
    • Tchamitchian, P.1


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