-
1
-
-
0030380578
-
The partition of unity finite element method: basic theory and applications
-
Melenk J.M., Babuška I. The partition of unity finite element method: basic theory and applications. Comput. Meth. Appl. Mech. Eng. 1996, 139:289-314.
-
(1996)
Comput. Meth. Appl. Mech. Eng.
, vol.139
, pp. 289-314
-
-
Melenk, J.M.1
Babuška, I.2
-
3
-
-
0034345542
-
Short wave modelling using special finite elements
-
Laghrouche O., Bettess P. Short wave modelling using special finite elements. J. Comput. Acoust. 2000, 8(1):189-210.
-
(2000)
J. Comput. Acoust.
, vol.8
, Issue.1
, pp. 189-210
-
-
Laghrouche, O.1
Bettess, P.2
-
4
-
-
0001362973
-
Short wave modelling using special finite elements: towards an adaptive approach
-
Elsevier, (Chapter 10), J.R. Whiteman (Ed.)
-
Laghrouche O., Bettess P. Short wave modelling using special finite elements: towards an adaptive approach. Mathematics of Finite Elements and Applications 2000, 181-194. Elsevier, (Chapter 10). J.R. Whiteman (Ed.).
-
(2000)
Mathematics of Finite Elements and Applications
, pp. 181-194
-
-
Laghrouche, O.1
Bettess, P.2
-
5
-
-
0035972098
-
An improved partition of unity finite element model for diffraction problems
-
Ortiz P., Sanchez E. An improved partition of unity finite element model for diffraction problems. Int. J. Numer. Meth. Eng. 2001, 50:2727-2740.
-
(2001)
Int. J. Numer. Meth. Eng.
, vol.50
, pp. 2727-2740
-
-
Ortiz, P.1
Sanchez, E.2
-
6
-
-
0037055525
-
Modelling of short wave diffraction problems using approximating systems of plane waves
-
Laghrouche O., Bettess P., Astley R.J. Modelling of short wave diffraction problems using approximating systems of plane waves. Int. J. Numer. Meth. Eng. 2002, 54:1501-1533.
-
(2002)
Int. J. Numer. Meth. Eng.
, vol.54
, pp. 1501-1533
-
-
Laghrouche, O.1
Bettess, P.2
Astley, R.J.3
-
7
-
-
0141676060
-
Plane wave basis for wave scattering in three dimensions
-
Laghrouche O., Bettess P., Perrey-Debain E., Trevelyan J. Plane wave basis for wave scattering in three dimensions. Commun. Numer. Meth. Eng. 2003, 19:715-723.
-
(2003)
Commun. Numer. Meth. Eng.
, vol.19
, pp. 715-723
-
-
Laghrouche, O.1
Bettess, P.2
Perrey-Debain, E.3
Trevelyan, J.4
-
8
-
-
1642331728
-
Plane wave basis finite elements and boundary elements for three dimensional wave scattering
-
Perrey-Debain E., Laghrouche O., Bettess P., Trevelyan J. Plane wave basis finite elements and boundary elements for three dimensional wave scattering. Philos. Trans. R. Soc. Lond. A 2004, 362:561-577.
-
(2004)
Philos. Trans. R. Soc. Lond. A
, vol.362
, pp. 561-577
-
-
Perrey-Debain, E.1
Laghrouche, O.2
Bettess, P.3
Trevelyan, J.4
-
10
-
-
1642291090
-
Finite elements using plane wave basis for scattering of surface water waves
-
Ortiz P. Finite elements using plane wave basis for scattering of surface water waves. Philos. Trans. R. Soc. Lond. A 2004, 362:525-540.
-
(2004)
Philos. Trans. R. Soc. Lond. A
, vol.362
, pp. 525-540
-
-
Ortiz, P.1
-
11
-
-
10444280104
-
Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed
-
Laghrouche O., Bettess P., Perrey-Debain E., Trevelyan J. Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed. Comput. Meth. Appl. Mech. Eng. 2005, 194:367-381.
-
(2005)
Comput. Meth. Appl. Mech. Eng.
, vol.194
, pp. 367-381
-
-
Laghrouche, O.1
Bettess, P.2
Perrey-Debain, E.3
Trevelyan, J.4
-
13
-
-
33744938206
-
The generalized finite element method for Helmholtz equation: theory, computation, and open problems
-
Strouboulis T., Babuška I., Hidajat R. The generalized finite element method for Helmholtz equation: theory, computation, and open problems. Comput. Meth. Appl. Mech. Eng. 2006, 195:4711-4731.
-
(2006)
Comput. Meth. Appl. Mech. Eng.
, vol.195
, pp. 4711-4731
-
-
Strouboulis, T.1
Babuška, I.2
Hidajat, R.3
-
15
-
-
0141445578
-
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem
-
Cessenat O., Després B. Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. SIAM J. Numer. Anal. 1998, 35(1):255-299.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, Issue.1
, pp. 255-299
-
-
Cessenat, O.1
Després, B.2
-
16
-
-
0042859901
-
Using plane waves as base functions for solving time harmonic equations with the ultra weak variational formulation
-
Cessenat O., Després B. Using plane waves as base functions for solving time harmonic equations with the ultra weak variational formulation. J. Comput. Acoust. 2003, 11(22):227-238.
-
(2003)
J. Comput. Acoust.
, vol.11
, Issue.22
, pp. 227-238
-
-
Cessenat, O.1
Després, B.2
-
17
-
-
0032637241
-
A least-squares method for the Helmholtz equation
-
Monk P., Wang D.Q. A least-squares method for the Helmholtz equation. Comput. Meth. Appl. Mech. Eng. 1999, 175:121-136.
-
(1999)
Comput. Meth. Appl. Mech. Eng.
, vol.175
, pp. 121-136
-
-
Monk, P.1
Wang, D.Q.2
-
19
-
-
0037436501
-
A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
-
Farhat C., Harari I., Hetmanuk U. A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime. Comput. Meth. Appl. Mech. Eng. 2003, 192:1389-1419.
-
(2003)
Comput. Meth. Appl. Mech. Eng.
, vol.192
, pp. 1389-1419
-
-
Farhat, C.1
Harari, I.2
Hetmanuk, U.3
-
20
-
-
39749162843
-
A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems
-
Tezaur R., Zhang L., Farhat C. A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems. Comput. Meth. Appl. Mech. Eng. 2008, 197:1680-1698.
-
(2008)
Comput. Meth. Appl. Mech. Eng.
, vol.197
, pp. 1680-1698
-
-
Tezaur, R.1
Zhang, L.2
Farhat, C.3
-
21
-
-
0346119118
-
P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems
-
Perrey-Debain E., Trevelyan J., Bettess P. P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems. Commun. Numer. Meth. Eng. 2003, 19:945-958.
-
(2003)
Commun. Numer. Meth. Eng.
, vol.19
, pp. 945-958
-
-
Perrey-Debain, E.1
Trevelyan, J.2
Bettess, P.3
-
22
-
-
6344223451
-
The ultra weak variational formulation for elastic wave problems
-
Huttunen T., Monk P., Collino F., Kaipio J.P. The ultra weak variational formulation for elastic wave problems. SIAM J. Sci. Comput. 2004, 25:1717-1742.
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 1717-1742
-
-
Huttunen, T.1
Monk, P.2
Collino, F.3
Kaipio, J.P.4
-
23
-
-
33745590397
-
The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime
-
Zhang L., Tezaur R., Farhat C. The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime. Int. J. Numer. Meth. Eng. 2006, 66:2086-2114.
-
(2006)
Int. J. Numer. Meth. Eng.
, vol.66
, pp. 2086-2114
-
-
Zhang, L.1
Tezaur, R.2
Farhat, C.3
-
24
-
-
64049102865
-
Numerical modelling of elastic wave scattering in frequency domain by the Partition of Unity Finite Element Method
-
EL Kacimi A., Laghrouche O. Numerical modelling of elastic wave scattering in frequency domain by the Partition of Unity Finite Element Method. Int. J. Numer. Meth. Eng. 2009, 77:1646-1669.
-
(2009)
Int. J. Numer. Meth. Eng.
, vol.77
, pp. 1646-1669
-
-
El Kacimi, A.1
Laghrouche, O.2
-
25
-
-
78650824050
-
Improvement of PUFEM for the numerical solution of high frequency elastic wave scattering on unstructured triangular mesh grids
-
El Kacimi A., Laghrouche O. Improvement of PUFEM for the numerical solution of high frequency elastic wave scattering on unstructured triangular mesh grids. Int. J. Numer. Meth. Eng. 2010, 84:330-350.
-
(2010)
Int. J. Numer. Meth. Eng.
, vol.84
, pp. 330-350
-
-
El Kacimi, A.1
Laghrouche, O.2
-
26
-
-
37549036715
-
An ultra-weak method for acoustic fluid-solid interaction
-
Huttunen T., Kaipio J.P., Monk P. An ultra-weak method for acoustic fluid-solid interaction. J. Comput. Appl. Math. 2008, 213:166-185.
-
(2008)
J. Comput. Appl. Math.
, vol.213
, pp. 166-185
-
-
Huttunen, T.1
Kaipio, J.P.2
Monk, P.3
-
27
-
-
84966225158
-
An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
-
Meijerink J.A., van der Vorst H.A. An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Math. Comput. 1977, 31:148-162.
-
(1977)
Math. Comput.
, vol.31
, pp. 148-162
-
-
Meijerink, J.A.1
van der Vorst, H.A.2
-
28
-
-
1842829625
-
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
-
Saad Y. Iterative Methods for Sparse Linear Systems 2003, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA. second ed.
-
(2003)
Iterative Methods for Sparse Linear Systems
-
-
Saad, Y.1
-
29
-
-
46349085468
-
Advances in iterative methods and preconditioners for the Helmholtz equation
-
Erlanga Y.A. Advances in iterative methods and preconditioners for the Helmholtz equation. Arch. Comput. Meth. Eng. 2008, 15:37-66.
-
(2008)
Arch. Comput. Meth. Eng.
, vol.15
, pp. 37-66
-
-
Erlanga, Y.A.1
-
30
-
-
0036867930
-
Preconditioning techniques for large linear systems: a survey
-
Benzi M. Preconditioning techniques for large linear systems: a survey. J. Comput. Phys. 2002, 182:418-477.
-
(2002)
J. Comput. Phys.
, vol.182
, pp. 418-477
-
-
Benzi, M.1
-
32
-
-
1642270041
-
Reducing the condition number for microlocal discretization problems
-
de la Bourdonnaye A., Tolentino M. Reducing the condition number for microlocal discretization problems. Philos. Trans. R. Soc. Lond. A 2004, 362:541-559.
-
(2004)
Philos. Trans. R. Soc. Lond. A
, vol.362
, pp. 541-559
-
-
de la Bourdonnaye, A.1
Tolentino, M.2
-
33
-
-
0001238648
-
Wavelet sparse approximate inverse preconditioned
-
Chan T.F., Tang W.P., Wan W.L. Wavelet sparse approximate inverse preconditioned. BIT 1997, 37:644-660.
-
(1997)
BIT
, vol.37
, pp. 644-660
-
-
Chan, T.F.1
Tang, W.P.2
Wan, W.L.3
-
34
-
-
0001684372
-
Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems
-
Chen K. Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems. Elec. Trans. Numer. Anal. 1999, 8:138-153.
-
(1999)
Elec. Trans. Numer. Anal.
, vol.8
, pp. 138-153
-
-
Chen, K.1
-
35
-
-
0042333261
-
Wavelet-based preconditioners for dense matrices with non-smooth local features
-
Ford J.M., Chen K. Wavelet-based preconditioners for dense matrices with non-smooth local features. J. Numer. Math. 2001, 41:282-307.
-
(2001)
J. Numer. Math.
, vol.41
, pp. 282-307
-
-
Ford, J.M.1
Chen, K.2
-
36
-
-
0031129197
-
Parallel preconditioning with sparse approximate inverses
-
Grote M., Huckle T. Parallel preconditioning with sparse approximate inverses. SIAM J. Sci. Comput. 1997, 18:838-853.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 838-853
-
-
Grote, M.1
Huckle, T.2
-
37
-
-
0016939622
-
An algorithm for reducing the bandwidth and profile of a sparse matrix
-
Gibbs N.E., Poole W.G., Stockmeyer P.K. An algorithm for reducing the bandwidth and profile of a sparse matrix. SIAM J. Numer. Anal. 1976, 13:235-251.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 235-251
-
-
Gibbs, N.E.1
Poole, W.G.2
Stockmeyer, P.K.3
-
39
-
-
0024700097
-
A theory for multiresolution signal decomposition: the wavelet representation
-
Mallat S G. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. PAMI 1989, 11:674-693.
-
(1989)
IEEE Trans. PAMI
, vol.11
, pp. 674-693
-
-
Mallat S, G.1
-
40
-
-
85190085700
-
-
An Introduction to Wavelet Analysis, Birkhauser, Boston
-
An Introduction to Wavelet Analysis, Birkhauser, Boston, 2002.
-
(2002)
-
-
-
41
-
-
0000048673
-
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Saad Y., Schultz Martin H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Statist. Comput. 1986, 7:856-869.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz Martin, H.2
-
42
-
-
0002716979
-
CGS, a fast Lanczos-type solver for nonsymmetric linear systems
-
Sonneveld P. CGS, a fast Lanczos-type solver for nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 1989, 10:36-52.
-
(1989)
SIAM J. Sci. Stat. Comput.
, vol.10
, pp. 36-52
-
-
Sonneveld, P.1
-
43
-
-
0000005482
-
Bi-CGSTAB, a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
-
Van der Vorst H. Bi-CGSTAB, a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 1989, 13:631-644.
-
(1989)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 631-644
-
-
Van der Vorst, H.1
-
44
-
-
0001803542
-
-
Several strategies for reducing the band width of matrices, in: D.J. Rose, R.A. Willoughby (Eds.), Sparse Matrices and Their Applications, New York
-
E. Cuthill, Several strategies for reducing the band width of matrices, in: D.J. Rose, R.A. Willoughby (Eds.), Sparse Matrices and Their Applications, New York, 1997, pp. 157-166.
-
(1997)
, pp. 157-166
-
-
Cuthill, E.1
-
45
-
-
33646203437
-
Plane wave decomposition in the unit disc: convergence estimates and computational aspects
-
Perrey-Debain E. Plane wave decomposition in the unit disc: convergence estimates and computational aspects. J. Comput. Appl. Math. 2006, 193:140-156.
-
(2006)
J. Comput. Appl. Math.
, vol.193
, pp. 140-156
-
-
Perrey-Debain, E.1
-
46
-
-
85190074626
-
-
Wave Motion in Elastic Solids, Ohio State University, Ohio
-
F. Graff, Wave Motion in Elastic Solids, Ohio State University, Ohio, 1975.
-
(1975)
-
-
Graff, F.1
-
50
-
-
85190075705
-
-
HSL, A Collection of Fortran Codes for Large-scale Scientific Computation
-
HSL, A Collection of Fortran Codes for Large-scale Scientific Computation, 2007. http://www.hsl.rl.ac.uk.
-
(2007)
-
-
-
51
-
-
85190086494
-
-
Wavelet-based preconditioning for dense linear systems in scientific computing, Ph.D. Thesis, University of Liverpool
-
J.M. Ford, Wavelet-based preconditioning for dense linear systems in scientific computing, Ph.D. Thesis, University of Liverpool, 2001.
-
(2001)
-
-
Ford, J.M.1
-
52
-
-
2342510323
-
Preconditioning techniques for the solution of the Helmholtz equation by the finite element method
-
Kechroud R., Soulaimani A., Saad Y., Gowdab S. Preconditioning techniques for the solution of the Helmholtz equation by the finite element method. Math. Comput. Simul. 2004, 65:303-321.
-
(2004)
Math. Comput. Simul.
, vol.65
, pp. 303-321
-
-
Kechroud, R.1
Soulaimani, A.2
Saad, Y.3
Gowdab, S.4
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