-
1
-
-
0019017734
-
Techniques for developing 'special' finite element shape functions with particular reference to singularities
-
Hughes, T. J. R. & Akin, J. E. Techniques for developing 'special' finite element shape functions with particular reference to singularities. Int. J. Numer. Meth. Engng, 1980, 15, 733-51.
-
(1980)
Int. J. Numer. Meth. Engng
, vol.15
, pp. 733-751
-
-
Hughes, T.J.R.1
Akin, J.E.2
-
2
-
-
84985408338
-
Two different approaches for the treatments of boundary singularities
-
Michavila, F., Gavete, L. & Diez, F. Two different approaches for the treatments of boundary singularities. Numer. Meth. PDEs, 1988, 4, 255-82.
-
(1988)
Numer. Meth. PDEs
, vol.4
, pp. 255-282
-
-
Michavila, F.1
Gavete, L.2
Diez, F.3
-
5
-
-
0001403062
-
An efficient method for subtracting off singularities at corners for Laplace's equation
-
Wigley, N. M. An efficient method for subtracting off singularities at corners for Laplace's equation. J. Comp. Phys., 1988, 78, 368-76.
-
(1988)
J. Comp. Phys.
, vol.78
, pp. 368-376
-
-
Wigley, N.M.1
-
6
-
-
0023364889
-
Boundary methods for solving elliptic problems with singularities and interfaces
-
Li, Z. C., Mathon, R. & Sermer, P. Boundary methods for solving elliptic problems with singularities and interfaces. SIAM J. Numer. Anal. 1987, 24, 487-98.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 487-498
-
-
Li, Z.C.1
Mathon, R.2
Sermer, P.3
-
7
-
-
0003663347
-
-
Computational Mechanics Publishing, McGraw-Hill, New York
-
Brebbia, C. A. & Dominguez, J. Boundary Elements, An Introductory Course. Computational Mechanics Publishing, McGraw-Hill, New York, 1989.
-
(1989)
Boundary Elements, An Introductory Course
-
-
Brebbia, C.A.1
Dominguez, J.2
-
11
-
-
0026960771
-
Coupling techniques in boundary-combined methods
-
Li, Z. C. & Bui, T. D. Coupling techniques in boundary-combined methods. Engng Anal. Boundary Elements, 1992, 10, 75-85.
-
(1992)
Engng Anal. Boundary Elements
, vol.10
, pp. 75-85
-
-
Li, Z.C.1
Bui, T.D.2
-
13
-
-
84966247121
-
On the coupling of boundary integral and finite element methods
-
Johnson, C. & Nedelec, C. On the coupling of boundary integral and finite element methods. Math. Comp., 1980, 35, 1063-79.
-
(1980)
Math. Comp.
, vol.35
, pp. 1063-1079
-
-
Johnson, C.1
Nedelec, C.2
-
14
-
-
0026982004
-
Coupling of finite elements and boundary elements for some nonlinear interface problems
-
Stephan, E. P. Coupling of finite elements and boundary elements for some nonlinear interface problems. Comput. Meth. Appl. Mech. Engng, 1992, 101, 61-72.
-
(1992)
Comput. Meth. Appl. Mech. Engng
, vol.101
, pp. 61-72
-
-
Stephan, E.P.1
-
15
-
-
0017438738
-
The coupling of the finite element method and boundary solution procedures
-
Zienkiewicz, O. C., Kelley, D. W. & Bettess, P. The coupling of the finite element method and boundary solution procedures. Int. J. Numer. Meth. Engng, 1977, 11, 355-75.
-
(1977)
Int. J. Numer. Meth. Engng
, vol.11
, pp. 355-375
-
-
Zienkiewicz, O.C.1
Kelley, D.W.2
Bettess, P.3
-
16
-
-
84987047919
-
A finite element method for domains with corners
-
Govoli, D., Rivkin, L. & Keller, F. B. A finite element method for domains with corners. Int. J. Numer. Meth. Engng, 1992, 35, 1329-45.
-
(1992)
Int. J. Numer. Meth. Engng
, vol.35
, pp. 1329-1345
-
-
Govoli, D.1
Rivkin, L.2
Keller, F.B.3
-
17
-
-
0000288806
-
Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
-
Harari, I. & Hughes, T. J. R. Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Comput. Meth. Appl. Mech. Engng, 1992, 98, 411-54.
-
(1992)
Comput. Meth. Appl. Mech. Engng
, vol.98
, pp. 411-454
-
-
Harari, I.1
Hughes, T.J.R.2
-
18
-
-
30244501275
-
Superconvergence of penalty combinations of the Ritz-Galerkin and finite difference method
-
ed. Y. Fong, W. J. Huang, Y. J. Lee & N. C. Wong. World Scientific, Singapore
-
Li, Z. C. Superconvergence of penalty combinations of the Ritz-Galerkin and finite difference method. In Proc. Int. Mathamtics Conference '94, ed. Y. Fong, W. J. Huang, Y. J. Lee & N. C. Wong. World Scientific, Singapore, 1996, pp. 117-30.
-
(1996)
Proc. Int. Mathamtics Conference '94
, pp. 117-130
-
-
Li, Z.C.1
-
19
-
-
0030168245
-
Combinations of the Ritz Galerkin and finite difference methods
-
Li, Z. C. Combinations of the Ritz Galerkin and finite difference methods. Int. J. Numer. Meth. Engng, 1996, 39, 1839-57.
-
(1996)
Int. J. Numer. Meth. Engng
, vol.39
, pp. 1839-1857
-
-
Li, Z.C.1
-
20
-
-
0022918065
-
Iterative methods for the solution of elliptic equations on the regions partitioned into substructures
-
Bjorstad, P. E. & Widlund, O. B. Iterative methods for the solution of elliptic equations on the regions partitioned into substructures. SIAM J. Numer. Anal., 1986, 23, 1097-120.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 1097-1120
-
-
Bjorstad, P.E.1
Widlund, O.B.2
-
21
-
-
84966238014
-
An iterative method for elliptic problems on regions partitioned into substructures
-
Bramble, J. H., Pasciak, J. E. & Schatz, A. H. An iterative method for elliptic problems on regions partitioned into substructures. Math. Comp., 1986, 46, 361-9.
-
(1986)
Math. Comp.
, vol.46
, pp. 361-369
-
-
Bramble, J.H.1
Pasciak, J.E.2
Schatz, A.H.3
-
22
-
-
84966199070
-
The construction of preconditioners for elliptic problems by substructuring I
-
Bramble, J. H., Pasciak, J. E. & Schatz, A. H. The construction of preconditioners for elliptic problems by substructuring I. Math. Comp., 1986, 47, 103-34.
-
(1986)
Math. Comp.
, vol.47
, pp. 103-134
-
-
Bramble, J.H.1
Pasciak, J.E.2
Schatz, A.H.3
-
23
-
-
0023331179
-
Analysis of domain decomposition preconditioners
-
Chan, T. F. Analysis of domain decomposition preconditioners. SIAM J. Numer. Anal., 1989, 24, 382-90.
-
(1989)
SIAM J. Numer. Anal.
, vol.24
, pp. 382-390
-
-
Chan, T.F.1
-
24
-
-
0001954099
-
A capacity matrix method for Dirichlet problem in polygon region
-
Dryja, M. A capacity matrix method for Dirichlet problem in polygon region. Numer. Math., 1982, 39, 51-64.
-
(1982)
Numer. Math.
, vol.39
, pp. 51-64
-
-
Dryja, M.1
-
25
-
-
0004639260
-
Parallel multilevel preconditioner
-
ed. T. Chan, E. Glowinski, J. Perieux & O. Widlund. SIAM, Philadelphia
-
Bramble, J. H., Pasciak, J. E. & Xu, J. Parallel multilevel preconditioner. In Third Int. Symposium on Domain Decompositions for Partial Differential Equations, ed. T. Chan, E. Glowinski, J. Perieux & O. Widlund. SIAM, Philadelphia, 1990, pp. 341-57.
-
(1990)
Third Int. Symposium on Domain Decompositions for Partial Differential Equations
, pp. 341-357
-
-
Bramble, J.H.1
Pasciak, J.E.2
Xu, J.3
-
26
-
-
0001159513
-
Domain decomposition algorithms with small overlap
-
Dryja, M. & Widlund, O. B. Domain decomposition algorithms with small overlap. SIAM J. Sci. Comput., 1994, 15, 604-20.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 604-620
-
-
Dryja, M.1
Widlund, O.B.2
-
27
-
-
0005651056
-
A domain decomposition algorithm using a hierarchical basis
-
Smith, B. F. & Widlund, O. B. A domain decomposition algorithm using a hierarchical basis. SIAM J. Sci. Stat. Comput., 1990, 11, 1212-20.
-
(1990)
SIAM J. Sci. Stat. Comput.
, vol.11
, pp. 1212-1220
-
-
Smith, B.F.1
Widlund, O.B.2
-
28
-
-
34250126304
-
On the multi-level splitting of finite element spaces
-
Yserentant, H. On the multi-level splitting of finite element spaces. Numer. Math., 1986, 49, 379-412.
-
(1986)
Numer. Math.
, vol.49
, pp. 379-412
-
-
Yserentant, H.1
-
29
-
-
0023984323
-
A preconditioning technique for the efficient solution of problems with local grid refinement
-
Bramble, J. H., Ewing, R. E., Pasciak, J. E. & Schatz, A. H. A preconditioning technique for the efficient solution of problems with local grid refinement. Comput. Meth. Appl. Mech. Engng, 1988, 67, 149-59.
-
(1988)
Comput. Meth. Appl. Mech. Engng
, vol.67
, pp. 149-159
-
-
Bramble, J.H.1
Ewing, R.E.2
Pasciak, J.E.3
Schatz, A.H.4
-
30
-
-
0001397416
-
Domain decomposition with small mesh refinement
-
Gropp, W. D. & Keyes, D. E. Domain decomposition with small mesh refinement. SIAM J. Sci. Comput., 1992, 13, 967-93.
-
(1992)
SIAM J. Sci. Comput.
, vol.13
, pp. 967-993
-
-
Gropp, W.D.1
Keyes, D.E.2
-
31
-
-
54249116319
-
Eigenvalue problems
-
ed. P. G. Ciarlet & J. L. Lions. North-Holland, Amsterdam
-
Babuska, I. & Osborn, J. Eigenvalue problems. In Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part I), ed. P. G. Ciarlet & J. L. Lions. North-Holland, Amsterdam, 1991, pp. 641-792.
-
(1991)
Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part I)
, vol.2
, pp. 641-792
-
-
Babuska, I.1
Osborn, J.2
-
32
-
-
0001797555
-
A domain decomposition method based on natural boundary reduction over unbounded domain
-
Yu, D. H. A domain decomposition method based on natural boundary reduction over unbounded domain. Chinese J. Numer. Math. Appl., 1995, 17(1), 95-105.
-
(1995)
Chinese J. Numer. Math. Appl.
, vol.17
, Issue.1
, pp. 95-105
-
-
Yu, D.H.1
-
33
-
-
0000842563
-
Domain decomposition techniques and the solution of poisson's in infinite domains
-
ed. T.F. Chan, et al. SIAM, Philadelphia
-
Anderson, C.R. Domain decomposition techniques and the Solution of Poisson's in infinite domains. In Domain Decomposition Methods, ed. T.F. Chan, et al. SIAM, Philadelphia, 1989, pp. 129-39.
-
(1989)
Domain Decomposition Methods
, pp. 129-139
-
-
Anderson, C.R.1
-
34
-
-
84985315168
-
An approach combining the Ritz-Galerkin and finite difference methods
-
Li, Z. C. An approach combining the Ritz-Galerkin and finite difference methods. Numer. Meth. PDE, 1989, 5, 279-95.
-
(1989)
Numer. Meth. PDE
, vol.5
, pp. 279-295
-
-
Li, Z.C.1
-
35
-
-
0026632001
-
Penalty-combined approaches to the Ritz-Galerkin and finite element methods for singularity problems in elliptic equations
-
Li, Z.C. Penalty-combined approaches to the Ritz-Galerkin and finite element methods for singularity problems in elliptic equations. Numer. Meth. PDE, 1992, 8, 33-7.
-
(1992)
Numer. Meth. PDE
, vol.8
, pp. 33-37
-
-
Li, Z.C.1
-
38
-
-
30244517736
-
Domain decomposition method for elliptic mixed boundary methods
-
Mroz, M. Domain decomposition method for elliptic mixed boundary methods. Computing, 1989, 42, 45-59.
-
(1989)
Computing
, vol.42
, pp. 45-59
-
-
Mroz, M.1
-
40
-
-
0000562261
-
The treatment of singularities of partial differential equations by relaxation methods
-
Motz, M. The treatment of singularities of partial differential equations by relaxation methods. Quart. Appl. Math., 1947, 4, 371-7.
-
(1947)
Quart. Appl. Math.
, vol.4
, pp. 371-377
-
-
Motz, M.1
-
41
-
-
0001463790
-
Treatment of harmonic mixed boundary problems by conformal transformation methods
-
Whiteman, J. R. & Papmichael, J. R. Treatment of harmonic mixed boundary problems by conformal transformation methods. ZAMP, 1972, 23, 655-64.
-
(1972)
ZAMP
, vol.23
, pp. 655-664
-
-
Whiteman, J.R.1
Papmichael, J.R.2
-
42
-
-
0001314406
-
The use of infinite grid refinement at singularities in the solution of Laplace's equation
-
Thatcher, R. W. The use of infinite grid refinement at singularities in the solution of Laplace's equation. Numer. Math., 1976, 25, 163-78.
-
(1976)
Numer. Math.
, vol.25
, pp. 163-178
-
-
Thatcher, R.W.1
-
43
-
-
0013668507
-
Finite differences and singularities on elliptic problems
-
ed. L. Gladwell & R. Wait. Clarendon Press, Oxford
-
Fox, L. Finite differences and singularities on elliptic problems. In A Survey of Numerical Methods for Partial Differential Equations, ed. L. Gladwell & R. Wait. Clarendon Press, Oxford, 1979, pp. 42-69.
-
(1979)
A Survey of Numerical Methods for Partial Differential Equations
, pp. 42-69
-
-
Fox, L.1
-
44
-
-
0001586518
-
An efficient finite element method for treating singularities in Laplace's equation
-
Olson, L. G., Georgiou, G. C. & Schultz, W. W. An efficient finite element method for treating singularities in Laplace's equation. J. Comp. Phys., 1991, 96, 391-410.
-
(1991)
J. Comp. Phys.
, vol.96
, pp. 391-410
-
-
Olson, L.G.1
Georgiou, G.C.2
Schultz, W.W.3
-
45
-
-
0002934401
-
An approach for combining the Ritz-Galerkin and finite element methods
-
Li, Z. C. An approach for combining the Ritz-Galerkin and finite element methods. J. Approxim. Theory, 1983, 39, 132-52.
-
(1983)
J. Approxim. Theory
, vol.39
, pp. 132-152
-
-
Li, Z.C.1
-
46
-
-
0013667969
-
A nonconforming combined method for solving Laplace's boundary value problems with singularities
-
Li, Z. C. A nonconforming combined method for solving Laplace's boundary value problems with singularities. Numer. Math., 1986, 49, 475-97.
-
(1986)
Numer. Math.
, vol.49
, pp. 475-497
-
-
Li, Z.C.1
|