The partition of unity finite element method: Basic theory and applications

Computer Methods in Applied Mechanics and Engineering - Tập 139 Số 1-4 - Trang 289-314 - 1996
Jens Markus Melenk1, Ivo Babuška2
1Seminar for Applied Mathematics, ETH Zurich, CH-8092, Zurich, Switzerland
2TICAM, The University of Texas at Austin, Austin, TX 78712, USA

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Từ khóa


Tài liệu tham khảo

1972

I. Babuška and J.E. Osborn, Private communication.

Bergman, 1961

Freund, 1993, A transpose-free quasi-minimal residual algorithm for non-hermitian linear systems, SIAM J. Sci. Comput., 14, 470, 10.1137/0914029

Gradshtein, 1980

Herrera, 1984

Kress, 1989

Melenk, 1995, On generalized finite element methods

Mergelyan, 1962, Vol. 3 of 1, 294

Muskhelishvili, 1963

Oh, 1992, The p-version of the finite element method for the elliptic boundary value problems with interfaces, Comput. Methods Appl. Mech. Engrg., 97, 211, 10.1016/0045-7825(92)90164-F

Oh, 1995, The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities, J. Comput. Phys., 121, 193, 10.1016/S0021-9991(95)90017-9

Babuška, 1994, Special finite element methods for a class of second order elliptic problems with rough coefficients, SIAM J. Numer. Anal., 31, 945, 10.1137/0731051

Babuška, 1995, A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution, Comput. Methods Appl. Mech. Engrg., 128, 325, 10.1016/0045-7825(95)00890-X

I. Babuška and J.M. Melenk, The partition of unity method, Int. J. Numer. Methods Engrg., in press.

I. Babuška and Z. Zhang, The partition of unity finite element method for the elastically supported beam, to appear.

Szegö, 1921, Über Polynome, die zu einer gegebenen Kurve der komplexen Ebene gehören, Mathematische Zeitschrift, 9, 218, 10.1007/BF01279030

Thomson, 1995, A Galerkin least squares finite element method for the two-dimensional Helmholtz equation, Int. J. Numer. Methods Engrg., 38, 371, 10.1002/nme.1620380303

Vekua, 1967

Walsh, 1960, Interpolation and Approximation by Rational Functions in the Complex Domain, Vol. 20