-
1
-
-
0028483749
-
Special finite element methods for a class of second order elliptic problems with rough coefficients
-
Babuška I., Caloz G., and Osborn J.E. Special finite element methods for a class of second order elliptic problems with rough coefficients. SIAM J. Numer. Anal. 31 4 (1994) 945-981
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, Issue.4
, pp. 945-981
-
-
Babuška, I.1
Caloz, G.2
Osborn, J.E.3
-
2
-
-
33744900063
-
-
J.M. Melenk, Finite element methods with harmonic shape functions for solving Laplace's equation, Master's thesis, University of Maryland, College Park, MD (Advisor: I. Babuška), 1992.
-
-
-
-
3
-
-
33744903102
-
-
J.M. Melenk, On generalized finite element methods, Ph.D. thesis, University of Maryland, College Park, MD (Advisor: I. Babuška), 1995.
-
-
-
-
4
-
-
0030380578
-
The partition of unity finite element method: basic theory and applications
-
Babuška I., and Melenk J.M. The partition of unity finite element method: basic theory and applications. Comput. Methods Appl. Mech. Engrg. 139 (1996) 289-314
-
(1996)
Comput. Methods Appl. Mech. Engrg.
, vol.139
, pp. 289-314
-
-
Babuška, I.1
Melenk, J.M.2
-
6
-
-
0031357421
-
Approximation with harmonic and generalized harmonic polynomials in the partition of unity method
-
Melenk J.M., and Babuška I. Approximation with harmonic and generalized harmonic polynomials in the partition of unity method. Comput. Assist. Mech. Engrg. Sci. 4 (1997) 607-632
-
(1997)
Comput. Assist. Mech. Engrg. Sci.
, vol.4
, pp. 607-632
-
-
Melenk, J.M.1
Babuška, I.2
-
7
-
-
33744900586
-
-
A. Duarte, The hp cloud method, Ph.D. thesis, University of Texas at Austin, Austin, TX (Advisor: J.T. Oden), 1996.
-
-
-
-
10
-
-
0033904722
-
The generalized finite element method: an example of its implementation and illustration of its performance
-
Strouboulis T., Babuška I., and Copps K. The generalized finite element method: an example of its implementation and illustration of its performance. Int. J. Numer. Methods Engrg. 47 (2000) 1401-1417
-
(2000)
Int. J. Numer. Methods Engrg.
, vol.47
, pp. 1401-1417
-
-
Strouboulis, T.1
Babuška, I.2
Copps, K.3
-
11
-
-
33744902579
-
-
K. Copps, The design and implementation of the generalized finite element method, Ph.D. thesis, Texas A&M University, College Station, TX (Advisor: T. Strouboulis), August 2000.
-
-
-
-
13
-
-
33744913768
-
-
L. Zhang, Generalized finite element method for multiscale analysis, Ph.D. thesis, Texas A&M University, College Station, Texas (Advisor: T. Strouboulis), August 2003.
-
-
-
-
14
-
-
0043157619
-
Generalized finite element method using mesh-based handbooks: application to problem in domains with many voids
-
Strouboulis T., Zhang L., and Babuška I. Generalized finite element method using mesh-based handbooks: application to problem in domains with many voids. Comput. Methods Appl. Mech. Engrg. 192 (2003) 3109-3161
-
(2003)
Comput. Methods Appl. Mech. Engrg.
, vol.192
, pp. 3109-3161
-
-
Strouboulis, T.1
Zhang, L.2
Babuška, I.3
-
15
-
-
3242689474
-
p-version of the generalized FEM using mesh-based handbooks with applications to multiscale problems
-
Strouboulis T., Zhang L., and Babuška I. p-version of the generalized FEM using mesh-based handbooks with applications to multiscale problems. Int. J. Numer. Methods Engrg. 60 (2004) 1639-1672
-
(2004)
Int. J. Numer. Methods Engrg.
, vol.60
, pp. 1639-1672
-
-
Strouboulis, T.1
Zhang, L.2
Babuška, I.3
-
16
-
-
0342520886
-
Discontinuous enrichment in finite elements with a partition of unity method
-
Dolbow J., Moës N., and Belytschko T. Discontinuous enrichment in finite elements with a partition of unity method. Finite Elem. Anal. Des. 36 (2000) 235-260
-
(2000)
Finite Elem. Anal. Des.
, vol.36
, pp. 235-260
-
-
Dolbow, J.1
Moës, N.2
Belytschko, T.3
-
18
-
-
17544389134
-
Generalized finite element methods for three-dimensional structural mechanics problems
-
Duarte C.A., Babuška I., and Oden J.T. Generalized finite element methods for three-dimensional structural mechanics problems. Comput. Struct. 177 (2000) 215-232
-
(2000)
Comput. Struct.
, vol.177
, pp. 215-232
-
-
Duarte, C.A.1
Babuška, I.2
Oden, J.T.3
-
19
-
-
0037032746
-
On principles for the selection of shape functions for the generalized finite element method
-
Babuška I., Banerjee U., and Osborn J.E. On principles for the selection of shape functions for the generalized finite element method. Comput. Methods Appl. Mech. Engrg. 191 (2002) 5595-5629
-
(2002)
Comput. Methods Appl. Mech. Engrg.
, vol.191
, pp. 5595-5629
-
-
Babuška, I.1
Banerjee, U.2
Osborn, J.E.3
-
20
-
-
1542681822
-
Survey of meshless and generalized finite element methods: a unified approach
-
Babuška I., Banerjee U., and Osborn J.E. Survey of meshless and generalized finite element methods: a unified approach. Acta Numer. (2003) 1-125
-
(2003)
Acta Numer.
, pp. 1-125
-
-
Babuška, I.1
Banerjee, U.2
Osborn, J.E.3
-
21
-
-
28444496198
-
Generalized finite element methods-main ideas, results and perspective
-
Babuška I., Banerjee U., and Osborn J.E. Generalized finite element methods-main ideas, results and perspective. Int. J. Comput. Methods 1 1 (2004) 67-103
-
(2004)
Int. J. Comput. Methods
, vol.1
, Issue.1
, pp. 67-103
-
-
Babuška, I.1
Banerjee, U.2
Osborn, J.E.3
-
22
-
-
0018430665
-
The finite difference method at arbitrary irregular grids and its application in applied mechanics
-
Liszka T., and Orkisz J. The finite difference method at arbitrary irregular grids and its application in applied mechanics. Comput. Struct. 11 (1980) 83-95
-
(1980)
Comput. Struct.
, vol.11
, pp. 83-95
-
-
Liszka, T.1
Orkisz, J.2
-
23
-
-
0022943509
-
Analysis of large deformations of membrane shells by the generalized finite difference method
-
Tworzydlo W. Analysis of large deformations of membrane shells by the generalized finite difference method. Comput. Struct. 27 (1987) 35-59
-
(1987)
Comput. Struct.
, vol.27
, pp. 35-59
-
-
Tworzydlo, W.1
-
24
-
-
0035808194
-
A generalized finite element method for the simulation of three-dimensional dynamic crack propagation
-
Duarte C.A., Hamzeh O.N., Liszka T.J., and Tworzydlo W.W. A generalized finite element method for the simulation of three-dimensional dynamic crack propagation. Comput. Methods Appl. Mech. Engrg. 190 (2001) 2227-2262
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 2227-2262
-
-
Duarte, C.A.1
Hamzeh, O.N.2
Liszka, T.J.3
Tworzydlo, W.W.4
-
26
-
-
0001362973
-
Solving short wave problems using special finite elements-towards an adaptive approach
-
Whiteman J. (Ed), Elsevier
-
Laghrouche O., and Bettess P. Solving short wave problems using special finite elements-towards an adaptive approach. In: Whiteman J. (Ed). The Mathematics of Finite Elements and Applications vol. X (1999), Elsevier 181-194
-
(1999)
The Mathematics of Finite Elements and Applications
, vol.X
, pp. 181-194
-
-
Laghrouche, O.1
Bettess, P.2
-
28
-
-
0242515960
-
A numerical integration scheme for special finite elements for the Helmholtz equation
-
Bettess P., Shirron J., Laghrouche O., Peseux B., Sugimoto R., and Trevelyan J. A numerical integration scheme for special finite elements for the Helmholtz equation. Int. J. Numer. Methods Engrg. 56 (2003) 531-552
-
(2003)
Int. J. Numer. Methods Engrg.
, vol.56
, pp. 531-552
-
-
Bettess, P.1
Shirron, J.2
Laghrouche, O.3
Peseux, B.4
Sugimoto, R.5
Trevelyan, J.6
-
29
-
-
1642291090
-
Finite elements using a plane-wave basis for scattering of surface water waves
-
Ortiz P. Finite elements using a plane-wave basis for scattering of surface water waves. Philos. Trans. R. Soc. Lond. A 362 (2004) 525-540
-
(2004)
Philos. Trans. R. Soc. Lond. A
, vol.362
, pp. 525-540
-
-
Ortiz, P.1
-
33
-
-
0037436501
-
A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
-
Farhat C., Harari I., and Hetmaniuk U. A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime. Comput. Methods Appl. Mech. Engrg. 192 (2003) 1389-1419
-
(2003)
Comput. Methods Appl. Mech. Engrg.
, vol.192
, pp. 1389-1419
-
-
Farhat, C.1
Harari, I.2
Hetmaniuk, U.3
-
34
-
-
0042626301
-
The variational theory of complex rays: a predictive tool for medium-frequency vibrations
-
Rouch P., and Ladevèze P. The variational theory of complex rays: a predictive tool for medium-frequency vibrations. Comput. Methods Appl. Mech. Engrg. 192 (2003) 3301-3315
-
(2003)
Comput. Methods Appl. Mech. Engrg.
, vol.192
, pp. 3301-3315
-
-
Rouch, P.1
Ladevèze, P.2
-
35
-
-
1942485266
-
Extension of the variational theory of complex rays to shells for medium-frequency vibrations
-
Riou H., Ladevèze P., and Rouch P. Extension of the variational theory of complex rays to shells for medium-frequency vibrations. J. Sound Vib. 272 (2004) 341-360
-
(2004)
J. Sound Vib.
, vol.272
, pp. 341-360
-
-
Riou, H.1
Ladevèze, P.2
Rouch, P.3
-
36
-
-
33744945238
-
-
H. Riou, Sur le calcul des vibrations moyennes et hautes fréquences par la théorie variationnelle des rayon complexes, Ph.D. thesis, ENS de Cachan, 2004.
-
-
-
-
37
-
-
0001299857
-
Finite element solution to the Helmholtz equation with high wave number-Part II: The hp-version of the FEM
-
Ihlenburg F., and Babuška I. Finite element solution to the Helmholtz equation with high wave number-Part II: The hp-version of the FEM. SIAM J. Numer. Anal. 34 1 (1997) 315-358
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.1
, pp. 315-358
-
-
Ihlenburg, F.1
Babuška, I.2
-
38
-
-
0029395109
-
Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
-
Ihlenburg F., and Babuška I. Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation. Int. J. Numer. Methods Engrg. 38 (1995) 3745-3774
-
(1995)
Int. J. Numer. Methods Engrg.
, vol.38
, pp. 3745-3774
-
-
Ihlenburg, F.1
Babuška, I.2
-
40
-
-
0001254041
-
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?
-
Babuška I., and Sauter S. Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?. SIAM J. Numer. Anal. 34 6 (1997) 2392-2423
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.6
, pp. 2392-2423
-
-
Babuška, I.1
Sauter, S.2
-
41
-
-
0344549300
-
Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions
-
Deraemaeker A., Babuška I., and Bouillard P. Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions. Int. J. Numer. Methods Engrg. 46 4 (1999) 471-499
-
(1999)
Int. J. Numer. Methods Engrg.
, vol.46
, Issue.4
, pp. 471-499
-
-
Deraemaeker, A.1
Babuška, I.2
Bouillard, P.3
-
43
-
-
0031234255
-
A posteriori error estimation for finite element solutions of Helmholtz' equation. Part I: The quality of local indicators and estimators
-
Babuška I., Ihlenburg F., Strouboulis T., and Gangaraj S.K. A posteriori error estimation for finite element solutions of Helmholtz' equation. Part I: The quality of local indicators and estimators. Int. J. Numer. Methods Engrg. 40 (1997) 3443-3462
-
(1997)
Int. J. Numer. Methods Engrg.
, vol.40
, pp. 3443-3462
-
-
Babuška, I.1
Ihlenburg, F.2
Strouboulis, T.3
Gangaraj, S.K.4
-
44
-
-
0031270949
-
A posteriori error estimation for finite element solutions of Helmholtz' equation. Part II: Estimation of the pollution error
-
Babuška I., Ihlenburg F., Strouboulis T., and Gangaraj S.K. A posteriori error estimation for finite element solutions of Helmholtz' equation. Part II: Estimation of the pollution error. Int. J. Numer. Methods Engrg. 40 (1997) 3883-3900
-
(1997)
Int. J. Numer. Methods Engrg.
, vol.40
, pp. 3883-3900
-
-
Babuška, I.1
Ihlenburg, F.2
Strouboulis, T.3
Gangaraj, S.K.4
-
45
-
-
33744939423
-
-
I. Babuška, U. Banerjee, J.E. Osborn, Quadrature error in meshless methods, in preparation.
-
-
-
-
47
-
-
0037346655
-
A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation
-
Sugimoto R., Bettess P., and Trevelyan J. A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation. Commun. Numer. Methods Engrg. 19 (2003) 233-245
-
(2003)
Commun. Numer. Methods Engrg.
, vol.19
, pp. 233-245
-
-
Sugimoto, R.1
Bettess, P.2
Trevelyan, J.3
-
48
-
-
0037055525
-
Modeling of short wave diffraction problems using approximating systems of plane waves
-
Laghrouche O., Bettess P., and Astley R.J. Modeling of short wave diffraction problems using approximating systems of plane waves. Int. J. Numer. Methods Engrg. 54 (2002) 1501-1533
-
(2002)
Int. J. Numer. Methods Engrg.
, vol.54
, pp. 1501-1533
-
-
Laghrouche, O.1
Bettess, P.2
Astley, R.J.3
-
49
-
-
33744905534
-
-
T. Strouboulis, R. Hidajat, Partition of unity method for Helmholtz equation: q-convergence for plane-wave and wave-band local bases, Appl. Math., to appear.
-
-
-
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