-
1
-
-
0033450251
-
A mathematical justification of the low-frequency heterogeneous time-harmonic Maxwell equations
-
MR 2000c:78002
-
A. Alonso, A mathematical justification of the low-frequency heterogeneous time-harmonic Maxwell equations, Math. Mod. Meth. Appl. Sci. 9 (1999), 475-489. MR 2000c:78002
-
(1999)
Math. Mod. Meth. Appl. Sci.
, vol.9
, pp. 475-489
-
-
Alonso, A.1
-
2
-
-
0031121768
-
A domain decomposition approach for heterogeneous time-harmonic Maxwell equations
-
MR 98b:78020
-
A. Alonso and A. Valli, A domain decomposition approach for heterogeneous time-harmonic Maxwell equations, Comput. Meth. Appl. Mech. Engrg. 143 (1997), 97-112. MR 98b:78020
-
(1997)
Comput. Meth. Appl. Mech. Engrg.
, vol.143
, pp. 97-112
-
-
Alonso, A.1
Valli, A.2
-
3
-
-
0033461714
-
An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
-
MR 99i:78002
-
_. An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations, Math. Comp. 68 (1999), 607-631. MR 99i:78002
-
(1999)
Math. Comp.
, vol.68
, pp. 607-631
-
-
-
4
-
-
0032097489
-
Vector potentials in three-dimensional nonsmooth domains
-
MR 99e:35037
-
C. Amrouche. C. Bernardi, M. Dauge, and V. Girault, Vector potentials in three-dimensional nonsmooth domains, Math. Models Appl, Sci. 21 (1998), 823-864. MR 99e:35037
-
(1998)
Math. Models Appl, Sci.
, vol.21
, pp. 823-864
-
-
Amrouche, C.1
Bernardi, C.2
Dauge, M.3
Girault, V.4
-
5
-
-
0001163226
-
An interior penalty finite element method with discontinuous elements
-
MR 83f:65173
-
D.N. Arnold, An interior penalty finite element method with discontinuous elements, SIAM J. Numer. Anal. 19 (1982), 742-760. MR 83f:65173
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 742-760
-
-
Arnold, D.N.1
-
6
-
-
0036410391
-
Unified analysis of discontinuous Galerkin methods for elliptic problems
-
CMP 2002:09
-
D.N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini, Unified analysis of discontinuous Galerkin methods for elliptic problems, SIAM J. Numer. Anal. 39 (2001/02), 1749-1779. CMP 2002:09
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1749-1779
-
-
Arnold, D.N.1
Brezzi, F.2
Cockburn, B.3
Marini, L.D.4
-
7
-
-
0000026672
-
The hp-version of the finite element method with quasiuniform meshes
-
MR 88d:65154
-
I. Babuška and M. Suri, The hp-version of the finite element method with quasiuniform meshes, Modél. Math. Anal. Numér. 21 (1987), 199-238. MR 88d:65154
-
(1987)
Modél. Math. Anal. Numér.
, vol.21
, pp. 199-238
-
-
Babuška, I.1
Suri, M.2
-
8
-
-
0345062335
-
A discontinuous hp-finite element method for convection-diffusion problems
-
MR 2000d:65171
-
C.E. Baumann and J.T. Oden, A discontinuous hp-finite element method for convection-diffusion problems, Comput. Methods Appl. Mech. Engrg. 175 (1999). 311-341. MR 2000d:65171
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.175
, pp. 311-341
-
-
Baumann, C.E.1
Oden, J.T.2
-
9
-
-
0011982241
-
A singular field method for the solution of Maxwell's equations in polyhedral domains
-
MR 2000g:78032
-
A.S. Bonnet-BenDhia. C. Hazard, and S. Lohrengel. A singular field method for the solution of Maxwell's equations in polyhedral domains, SIAM J. Appl. Math. 59 (1999). 2028-2044. MR 2000g:78032
-
(1999)
SIAM J. Appl. Math.
, vol.59
, pp. 2028-2044
-
-
Bonnet-Bendhia, A.S.1
Hazard, C.2
Lohrengel, S.3
-
10
-
-
0023165973
-
A rationale for edge-elements in 3D fields computation
-
A. Bossavit, A rationale for edge-elements in 3D fields computation, IEEE Trans. on Magnetics 24 (1988), 74-79.
-
(1988)
IEEE Trans. on Magnetics
, vol.24
, pp. 74-79
-
-
Bossavit, A.1
-
11
-
-
0003602386
-
-
Academic Press, San Diego, MR 99m:78001
-
_, Computational electromagnetism, Academic Press, San Diego, 1998. MR 99m:78001
-
(1998)
Computational Electromagnetism
-
-
-
12
-
-
0032646759
-
"Hybrid" electric-magnetic methods in eddy-current problems
-
MR 2000h:78006
-
A. Bossavit, "Hybrid" electric-magnetic methods in eddy-current problems. Comput. Methods Appl. Mech. Engrg. 178 (1999), 383-391. MR 2000h:78006
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.178
, pp. 383-391
-
-
Bossavit, A.1
-
13
-
-
0032296364
-
Lorentz gauge eddy current formulations for multiply connected piece-wise homogeneous conductors
-
C.F. Bryant, C.R.I. Emson, P. Fernandes, and C.W. Trowbridge, Lorentz gauge eddy current formulations for multiply connected piece-wise homogeneous conductors, COMPEL 17 (1998), 732-740.
-
(1998)
COMPEL
, vol.17
, pp. 732-740
-
-
Bryant, C.F.1
Emson, C.R.I.2
Fernandes, P.3
Trowbridge, C.W.4
-
14
-
-
0035730382
-
Hodge decomposition on the boundary of a polyhedron: The nonsimply connected case
-
A. Buffa. Hodge decomposition on the boundary of a polyhedron: the nonsimply connected case, Math. Models Methods Appl. Sci. 11 (2001), pp. 1491-1504.
-
(2001)
Math. Models Methods Appl. Sci.
, vol.11
, pp. 1491-1504
-
-
Buffa, A.1
-
15
-
-
0035834895
-
On traces for functional spaces related to Maxwell's equations. Part I: An integration by parts formula in Lipschitz polyhedra
-
MR 2002b:78024
-
A. Buffa and Jr. P. Ciarlet, On traces for functional spaces related to Maxwell's equations. Part I: An integration by parts formula in Lipschitz polyhedra. Math. Models Appl. Sci. 24 (2001). 9-30. MR 2002b:78024
-
(2001)
Math. Models Appl. Sci.
, vol.24
, pp. 9-30
-
-
Buffa, A.1
Ciarlet P., Jr.2
-
16
-
-
0035834889
-
On traces for functional spaces related to Maxwell's equations. Part II: Hodge decomposition on the boundary of Lipschitz polyhedra and applications
-
MR 2002b:78025
-
_, On traces for functional spaces related to Maxwell's equations. Part II: Hodge decomposition on the boundary of Lipschitz polyhedra and applications, Math. Models Appl. Sci. 24 (2001), 31-48. MR 2002b:78025
-
(2001)
Math. Models Appl. Sci.
, vol.24
, pp. 31-48
-
-
-
17
-
-
0012778473
-
-
Ph.D. thesis, University of Minnesota, Minneapolis, MN
-
P. Castillo, Local discontinuous Galerkin methods for convection-diffusion and elliptic problems, Ph.D. thesis, University of Minnesota, Minneapolis, MN, 2001.
-
(2001)
Local Discontinuous Galerkin Methods for Convection-Diffusion and Elliptic Problems
-
-
Castillo, P.1
-
18
-
-
0010974676
-
Performance of discontinuous Galerkin methods for elliptic partial differential equations
-
IMA, University of Minnesota
-
P. Castillo, Performance of discontinuous Galerkin methods for elliptic partial differential equations. Tech. Report 1764. IMA, University of Minnesota, 2001.
-
(2001)
Tech. Report 1764
, vol.1764
-
-
Castillo, P.1
-
19
-
-
0034548629
-
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
-
CMP 2001:08
-
P. Castillo, B. Cockburn, I. Perugia, and D. Schötzau, An a priori error analysis of the local discontinuous Galerkin method for elliptic problems, SIAM J. Numer. Anal. 38 (2000), 1676-1706. CMP 2001:08
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 1676-1706
-
-
Castillo, P.1
Cockburn, B.2
Perugia, I.3
Schötzau, D.4
-
20
-
-
0036013520
-
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems
-
CMP 2002:09
-
P. Castillo, B. Cockburn, D. Schötzau, and C. Schwab, Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems, Math. Comp. 71 (2002), 455-478. CMP 2002:09
-
(2002)
Math. Comp.
, vol.71
, pp. 455-478
-
-
Castillo, P.1
Cockburn, B.2
Schötzau, D.3
Schwab, C.4
-
21
-
-
0000713960
-
Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients
-
MR 2001h: 78044
-
Z. Chen, Q. Du, and J. Zou, Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients, SIAM J. Numer. Anal. 37 (2000), 1542-1570. MR 2001h: 78044
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 1542-1570
-
-
Chen, Z.1
Du, Q.2
Zou, J.3
-
23
-
-
0001920618
-
Some extensions of the local discontinuous Galerkin method for convection-diffusion equations in multidimensions
-
(J. Whitemann, ed.), Elsevier, MR 2001j:65142
-
B. Cockburn and C. Dawson. Some extensions of the local discontinuous Galerkin method for convection-diffusion equations in multidimensions, The Proceedings of the 10th Conference on the Mathematics of Finite Elements and Applications; MAFELAP X (J. Whitemann, ed.), Elsevier, 2000, pp. 225-238. MR 2001j:65142
-
(2000)
The Proceedings of the 10th Conference on the Mathematics of Finite Elements and Applications: MAFELAP X
, pp. 225-238
-
-
Cockburn, B.1
Dawson, C.2
-
24
-
-
0035734429
-
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
-
B. Cockburn, G. Kanschat, I. Perugia, and D. Schötzau, Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids, SIAM J. Numer. Anal. 39 (2001), 264-285.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 264-285
-
-
Cockburn, B.1
Kanschat, G.2
Perugia, I.3
Schötzau, D.4
-
25
-
-
0344393366
-
The local discontinuous Galerkin method for time-dependent convection-diffusion systems
-
MR 99j:65163
-
B. Cockburn and C.-W. Shu, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM J. Numer. Anal. 35 (1998), 2440-2463. MR 99j:65163
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2440-2463
-
-
Cockburn, B.1
Shu, C.-W.2
-
26
-
-
0000076512
-
Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
-
_, Runge-Kutta discontinuous Galerkin methods for convection-dominated problems, J. Sci. Comput. 16 (2001), 173-261.
-
(2001)
J. Sci. Comput.
, vol.16
, pp. 173-261
-
-
-
27
-
-
0033414918
-
Singularities of Maxwell interface problems
-
MR 2001g:78005
-
M. Costabel, M. Dauge, and S. Nicaise, Singularities of Maxwell interface problems, Model. Math. Anal. Numér. 33 (1999), 627-649. MR 2001g:78005
-
(1999)
Model. Math. Anal. Numér.
, vol.33
, pp. 627-649
-
-
Costabel, M.1
Dauge, M.2
Nicaise, S.3
-
28
-
-
0003689253
-
-
Preprint, University of Rennes
-
M. Dauge, M. Costabel, and D. Martin, Weighted regularization of Maxwell equations in polyhedral domains, Preprint, University of Rennes, 2001.
-
(2001)
Weighted Regularization of Maxwell Equations in Polyhedral Domains
-
-
Dauge, M.1
Costabel, M.2
Martin, D.3
-
29
-
-
0031699492
-
Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements
-
MR 99b:78003
-
L. Demkowicz and L. Vardapetyan, Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements, Comput, Methods Appl. Mech. Engrg. 152 (1998), 103-124. MR 99b:78003
-
(1998)
Comput, Methods Appl. Mech. Engrg.
, vol.152
, pp. 103-124
-
-
Demkowicz, L.1
Vardapetyan, L.2
-
30
-
-
0031533599
-
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions
-
MR 98h:78006
-
P. Fernandes and G. Gilardi, Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions, Math. Models Methods Appl. Sci. 7 (1997), 957-991. MR 98h:78006
-
(1997)
Math. Models Methods Appl. Sci.
, vol.7
, pp. 957-991
-
-
Fernandes, P.1
Gilardi, G.2
-
31
-
-
0035360604
-
Vector potential formulation for magnetostatics and modeling of permanent magnets
-
MR 2002e:78003
-
P. Fernandes and I. Perugia, Vector potential formulation for magnetostatics and modeling of permanent magnets, IMA J. Appl. Math. 66 (2001), 293-318. MR 2002e:78003
-
(2001)
IMA J. Appl. Math.
, vol.66
, pp. 293-318
-
-
Fernandes, P.1
Perugia, I.2
-
32
-
-
0038077133
-
hp-DGFEM on shape-irregular meshes: Reaction-diffusion
-
Oxford University Computing Laboratory
-
E.H. Georgoulis and E. Süli, hp-DGFEM on shape-irregular meshes: reaction-diffusion, Tech. Report NA 01-09, Oxford University Computing Laboratory, 2001.
-
(2001)
Tech. Report NA 01-09
-
-
Georgoulis, E.H.1
Süli, E.2
-
33
-
-
0004645394
-
Symmetric coupling for eddy-current problems
-
SFB382, Universität Tübingen
-
R. Hiptmair, Symmetric coupling for eddy-current problems, Tech. Report 148, SFB382, Universität Tübingen, 2000.
-
(2000)
Tech. Report 148
, vol.148
-
-
Hiptmair, R.1
-
34
-
-
0036556363
-
Discontinuous hp finite element methods for advection-diffusion problems
-
to appear
-
P. Houston, C. Schwab, and E. Süli, Discontinuous hp finite element methods for advection-diffusion problems, SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal.
-
-
Houston, P.1
Schwab, C.2
Süli, E.3
-
35
-
-
0003896053
-
-
Dunod, Paris, MR 40:512, MR 40:513
-
J. L. Lions and E. Magenes, Problèmes aux limites nonhomogènes et applications, Dunod, Paris, 1968. MR 40:512, MR 40:513
-
(1968)
Problèmes aux Limites Nonhomogènes et Applications
-
-
Lions, J.L.1
Magenes, E.2
-
36
-
-
21144467484
-
A finite element method for approximating the time-harmonic Maxwell equations
-
MR 94b:65134
-
P. Monk, A finite element method for approximating the time-harmonic Maxwell equations, Numer. Math. 63 (1992), 243-261. MR 94b:65134
-
(1992)
Numer. Math.
, vol.63
, pp. 243-261
-
-
Monk, P.1
-
37
-
-
34250256485
-
3
-
MR 81k:65125
-
3, Numer. Math. 35 (1980), 315-341. MR 81k:65125
-
(1980)
Numer. Math.
, vol.35
, pp. 315-341
-
-
Nédélec, J.C.1
-
38
-
-
0001925003
-
3
-
MR 83g:65111
-
3, Numer. Math. 30 (1982), 97-112. MR 83g:65111
-
(1982)
Numer. Math.
, vol.30
, pp. 97-112
-
-
-
39
-
-
0032209437
-
A discontinuous hp finite element method for diffusion problems
-
MR 99m:65173
-
J.T. Oden, I. Babuška, and C.E. Baumann, A discontinuous hp finite element method for diffusion problems, 3. Comput. Phys. 146 (1998), 491-519. MR 99m:65173
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 491-519
-
-
Oden, J.T.1
Babuška, I.2
Baumann, C.E.3
-
40
-
-
0009606626
-
On the coupling of local discontinuous Galerkin and conforming finite element methods
-
I. Perugia and D. Schötzau, On the coupling of local discontinuous Galerkin and conforming finite element methods. J. Sci. Comp. (2001), no. 16, 411-433.
-
(2001)
J. Sci. Comp.
, vol.16
, pp. 411-433
-
-
Perugia, I.1
Schötzau, D.2
-
41
-
-
0010974891
-
Review of a priori error estimation for discontinuous Galerkin methods
-
TICAM, University of Texas at Austin
-
S. Prudhomme, F. Pascal, J.T. Oden, and A. Romkes, Review of a priori error estimation for discontinuous Galerkin methods, Tech. Report 2000-27, TICAM, University of Texas at Austin, 2000.
-
(2000)
Tech. Report 2000-27
-
-
Prudhomme, S.1
Pascal, F.2
Oden, J.T.3
Romkes, A.4
-
42
-
-
0009938725
-
A discontinuous Galerkin method applied to nonlinear parabolic equations
-
Discontinuous Galerkin Methods: Theory, Computation and Applications (B. Cockburn, G.E. Karniadakis, and C.-W. Shu, eds.), Springer-Verlag, MR 2002d:65105
-
B. Rivière and M.F. Wheeler, A discontinuous Galerkin method applied to nonlinear parabolic equations, Discontinuous Galerkin Methods: Theory, Computation and Applications (B. Cockburn, G.E. Karniadakis, and C.-W. Shu, eds.), Lect. Notes Comput. Sci. Eng., vol. 11, Springer-Verlag, 2000, pp. 231-244. MR 2002d:65105
-
(2000)
Lect. Notes Comput. Sci. Eng.
, vol.11
, pp. 231-244
-
-
Rivière, B.1
Wheeler, M.F.2
-
43
-
-
0033511173
-
Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems, Part I
-
MR 2001d:65145
-
B. Rivière, M.F. Wheeler, and V. Girault, Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems, Part I, Computational Geosciences 3 (4) (1999), 337-360. MR 2001d:65145
-
(1999)
Computational Geosciences
, vol.3
, Issue.4
, pp. 337-360
-
-
Rivière, B.1
Wheeler, M.F.2
Girault, V.3
-
45
-
-
0031699492
-
hp-adaptive finite elements in electromagnetics
-
MR 99b:78003
-
L. Vardapetyan and L. Demkowicz, hp-adaptive finite elements in electromagnetics, Comput. Methods Appl. Mech. Engrg. 152 (1998), 103-124. MR 99b:78003
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.152
, pp. 103-124
-
-
Vardapetyan, L.1
Demkowicz, L.2
|