-
2
-
-
0032046927
-
The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges
-
TH. APEL AND S. NICAISE, The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges, Math. Methods Appl. Sci., 21 (1998), pp. 519-549.
-
(1998)
Math. Methods Appl. Sci
, vol.21
, pp. 519-549
-
-
APEL, T.1
NICAISE, S.2
-
3
-
-
0035630247
-
Crouzeix-Raviart type finite elements on anisotropic meshes
-
TH. APEL, S. NICAISE, AND J. SCHÖBERL, Crouzeix-Raviart type finite elements on anisotropic meshes, Numer. Math., 89 (2001), pp. 193-223.
-
(2001)
Numer. Math
, vol.89
, pp. 193-223
-
-
APEL, T.1
NICAISE, S.2
SCHÖBERL, J.3
-
4
-
-
0029755025
-
Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains
-
TH. APEL, A.-M. SANDIG, AND J. R. WHITEMAN, Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains, Math. Methods Appl. Sci., 19 (1996), pp. 63-85.
-
(1996)
Math. Methods Appl. Sci
, vol.19
, pp. 63-85
-
-
APEL, T.1
SANDIG, A.-M.2
WHITEMAN, J.R.3
-
5
-
-
44649091366
-
The singular complement method
-
N. Debit, M. Garbey, R. Hoppe, D. Keyes, Y. Kuznetsov, and J. Périaux, eds, CIMNE, Barcelona
-
F. ASSOUS, P. CIARLET, JR., S. LABRUNIE, AND S. LOHRENGEL, The singular complement method, in Domain Decomposition Methods in Science and Engineering, N. Debit, M. Garbey, R. Hoppe, D. Keyes, Y. Kuznetsov, and J. Périaux, eds., CIMNE, Barcelona, 2002, pp. 161-189.
-
(2002)
Domain Decomposition Methods in Science and Engineering
, pp. 161-189
-
-
ASSOUS, F.1
CIARLET JR., P.2
LABRUNIE, S.3
LOHRENGEL, S.4
-
6
-
-
0032378152
-
-
F. ASSOUS, P. CIARLET, JR., AND E. SONNENDRÜCKER, Resolution of the Maxwell equation in a domain with reentrant corners, M2AN Math. Model. Numer. Anal., 32 (1998), pp. 359-389.
-
F. ASSOUS, P. CIARLET, JR., AND E. SONNENDRÜCKER, Resolution of the Maxwell equation in a domain with reentrant corners, M2AN Math. Model. Numer. Anal., 32 (1998), pp. 359-389.
-
-
-
-
7
-
-
54249116319
-
Eigenvalue problems
-
P. G. Ciarlet and J. L. Lions, eds, North-Holland, Amsterdam
-
I. BABUŠKA AND J. OSBORN, Eigenvalue problems, in Handbook of Numerical Analysis II, P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 1991, pp. 641-787.
-
(1991)
Handbook of Numerical Analysis II
, pp. 641-787
-
-
BABUŠKA, I.1
OSBORN, J.2
-
8
-
-
0034556469
-
Fortin operators and discrete compactness for edge elements
-
D. BOFFI, Fortin operators and discrete compactness for edge elements, Numer. Math., 87 (2000), pp. 229-246.
-
(2000)
Numer. Math
, vol.87
, pp. 229-246
-
-
BOFFI, D.1
-
9
-
-
34447096192
-
Approximation of eigenvalues in mixed form, discrete compactness property, and application to hp mixed finite elements
-
D. BOFFI, Approximation of eigenvalues in mixed form, discrete compactness property, and application to hp mixed finite elements, Comput. Methods Appl. Mech. Engrg., 196 (2007), pp. 3672-3681.
-
(2007)
Comput. Methods Appl. Mech. Engrg
, vol.196
, pp. 3672-3681
-
-
BOFFI, D.1
-
10
-
-
0000979322
-
On the convergence of eigenvalues for mixed formulations
-
D. BOFFI, F. BREZZI, AND L. GASTALDI, On the convergence of eigenvalues for mixed formulations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 25 (1997), pp. 131-154.
-
(1997)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.25
, pp. 131-154
-
-
BOFFI, D.1
BREZZI, F.2
GASTALDI, L.3
-
11
-
-
0000807589
-
Computational models of electromagnetic resonators; Analysis of edge element approximation
-
D. BOFFI, P. FERNANDES, L. GASTALDI, AND I. PERUGIA, Computational models of electromagnetic resonators; Analysis of edge element approximation, SIAM J. Numer. Anal., 36 (1999), pp. 1264-1290.
-
(1999)
SIAM J. Numer. Anal
, vol.36
, pp. 1264-1290
-
-
BOFFI, D.1
FERNANDES, P.2
GASTALDI, L.3
PERUGIA, I.4
-
12
-
-
32644442914
-
Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes
-
D. BOFFI, F. KIKUCHI, AND J. SCHÖBERL, Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes, Math. Models Methods Appl. Sci., 16 (2006), pp. 265-273.
-
(2006)
Math. Models Methods Appl. Sci
, vol.16
, pp. 265-273
-
-
BOFFI, D.1
KIKUCHI, F.2
SCHÖBERL, J.3
-
14
-
-
23944447733
-
Finite element methods
-
E. Stein, R. de Borst, and T. J. R. Hughes, eds, Wiley, Weinheim, Germany
-
S. C. BRENNER AND C. CARSTENSEN, Finite element methods, in Encyclopedia of Computational Mechanics, E. Stein, R. de Borst, and T. J. R. Hughes, eds., Wiley, Weinheim, Germany, 2004, pp. 73-118.
-
(2004)
Encyclopedia of Computational Mechanics
, pp. 73-118
-
-
BRENNER, S.C.1
CARSTENSEN, C.2
-
15
-
-
34447106394
-
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations
-
S. C. BRENNER, F. LI, AND L.-Y. SUNG, A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations, Math. Comp., 76 (2007), pp. 573-595.
-
(2007)
Math. Comp
, vol.76
, pp. 573-595
-
-
BRENNER, S.C.1
LI, F.2
SUNG, L.-Y.3
-
16
-
-
55349107737
-
A weakly over-penalized nonsymmetric interior penalty method, J. Numerical Analysis, Industrial and Applied Mathematics
-
to appear
-
S. C. BRENNER AND L. OWENS, A weakly over-penalized nonsymmetric interior penalty method, J. Numerical Analysis, Industrial and Applied Mathematics, to appear.
-
-
-
BRENNER, S.C.1
OWENS, L.2
-
17
-
-
55349098758
-
-
preprint, Department of Mathematics, Louisiana State University, LA
-
S. C. BRENNER, L. OWENS, AND L.-Y. SUNG, A Weakly over-penalized symmetric interior penalty method, preprint, Department of Mathematics, Louisiana State University, LA, 2007.
-
(2007)
A Weakly over-penalized symmetric interior penalty method
-
-
BRENNER, S.C.1
OWENS, L.2
SUNG, L.-Y.3
-
18
-
-
0003957050
-
-
2nd ed, Springer-Verlag, New York, Berlin, Heidelberg
-
S. C. BRENNER AND L. R. SCOTT, The Mathematical Theory of Finite Element Methods, 2nd ed., Springer-Verlag, New York, Berlin, Heidelberg, 2002.
-
(2002)
The Mathematical Theory of Finite Element Methods
-
-
BRENNER, S.C.1
SCOTT, L.R.2
-
19
-
-
35548982113
-
Discontinuous Galerkin approximation of the Maxwell eigenproblem
-
A. BUFFA AND I. PERUGIA, Discontinuous Galerkin approximation of the Maxwell eigenproblem, SIAM J. Numer. Anal., 44 (2006), pp. 2198-2226.
-
(2006)
SIAM J. Numer. Anal
, vol.44
, pp. 2198-2226
-
-
BUFFA, A.1
PERUGIA, I.2
-
20
-
-
0034446186
-
On the convergence of Galerkin finite element approximations of electromagnetic eigenproblems
-
S. CAORSI, P. FERNANDES, AND M. RAFFETTO, On the convergence of Galerkin finite element approximations of electromagnetic eigenproblems, SIAM J. Numer. Anal., 38 (2000), pp. 580-607.
-
(2000)
SIAM J. Numer. Anal
, vol.38
, pp. 580-607
-
-
CAORSI, S.1
FERNANDES, P.2
RAFFETTO, M.3
-
21
-
-
0035627702
-
Spurious-free approximations of electromagnetic eigenproblems by means of Nédélec-type elements
-
S. CAORSI, P. FERNANDES, AND M. RAFFETTO, Spurious-free approximations of electromagnetic eigenproblems by means of Nédélec-type elements, M2AN Math. Model. Numer. Anal., 35 (2001), pp. 331-358.
-
(2001)
M2AN Math. Model. Numer. Anal
, vol.35
, pp. 331-358
-
-
CAORSI, S.1
FERNANDES, P.2
RAFFETTO, M.3
-
23
-
-
84988168833
-
A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
-
M. COSTABEL, A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains, Math. Methods Appl. Sci., 12 (1990), pp. 365-368.
-
(1990)
Math. Methods Appl. Sci
, vol.12
, pp. 365-368
-
-
COSTABEL, M.1
-
24
-
-
0000152459
-
A coercive bilinear form for Maxwell's equations
-
M. COSTABEL, A coercive bilinear form for Maxwell's equations, J. Math. Anal. Appl., 157 (1991), pp. 527-541.
-
(1991)
J. Math. Anal. Appl
, vol.157
, pp. 527-541
-
-
COSTABEL, M.1
-
25
-
-
0033078434
-
Maxwell and Lamé eigenvalues on polyhedra
-
M. COSTABEL AND M. DAUGE, Maxwell and Lamé eigenvalues on polyhedra, Math. Methods Appl. Sci., 22 (1999), pp. 243-258.
-
(1999)
Math. Methods Appl. Sci
, vol.22
, pp. 243-258
-
-
COSTABEL, M.1
DAUGE, M.2
-
26
-
-
0034382191
-
Singularities of electromagnetic fields in polyhedral domains
-
M. COSTABEL AND M. DAUGE, Singularities of electromagnetic fields in polyhedral domains, Arch. Ration. Mech. Anal., 151 (2000), pp. 221-276.
-
(2000)
Arch. Ration. Mech. Anal
, vol.151
, pp. 221-276
-
-
COSTABEL, M.1
DAUGE, M.2
-
27
-
-
0036912227
-
Weighted regularisation of Maxwell equations in polyhedral domains
-
M. COSTABEL AND M. DAUGE, Weighted regularisation of Maxwell equations in polyhedral domains, Numer. Math., 93 (2002), pp. 239-277.
-
(2002)
Numer. Math
, vol.93
, pp. 239-277
-
-
COSTABEL, M.1
DAUGE, M.2
-
28
-
-
0033414918
-
Singularities of Maxwell interface problems
-
M. COSTABEL, M. DAUGE, AND S. NICAISE, Singularities of Maxwell interface problems, M2AN Math. Model. Numer. Anal., 33 (1999), pp. 627-649.
-
(1999)
M2AN Math. Model. Numer. Anal
, vol.33
, pp. 627-649
-
-
COSTABEL, M.1
DAUGE, M.2
NICAISE, S.3
-
29
-
-
17144414595
-
Exponential convergence of hp-FEM for Maxwell equations with weighted regularization in polygonal domains
-
M. COSTABEL, M. DAUGE, AND G. SCHWAB, Exponential convergence of hp-FEM for Maxwell equations with weighted regularization in polygonal domains, Math. Models Methods Appl. Sci., 15 (2005), pp. 575-622.
-
(2005)
Math. Models Methods Appl. Sci
, vol.15
, pp. 575-622
-
-
COSTABEL, M.1
DAUGE, M.2
SCHWAB, G.3
-
30
-
-
0015762231
-
Conforming and nonconforming finite element methods for solving the stationary Stokes equations 1
-
M. CROUZEIX AND P.-A. RAVIART, Conforming and nonconforming finite element methods for solving the stationary Stokes equations 1, RAIRO Anal. Numér., 7 (1973), pp. 33-75.
-
(1973)
RAIRO Anal. Numér
, vol.7
, pp. 33-75
-
-
CROUZEIX, M.1
RAVIART, P.-A.2
-
32
-
-
0038042416
-
A singular field method for Maxwell's equations: Numerical aspects for 2D magneto statics
-
C. HAZARD AND S. LOHRENGEL, A singular field method for Maxwell's equations: Numerical aspects for 2D magneto statics, SIAM J. Numer. Anal., 40 (2002), pp. 1021-1040.
-
(2002)
SIAM J. Numer. Anal
, vol.40
, pp. 1021-1040
-
-
HAZARD, C.1
LOHRENGEL, S.2
-
33
-
-
85095827382
-
Finite elements in computational electromagnetism
-
R. HIPTMAIR, Finite elements in computational electromagnetism, Acta Numer., 11 (2002), pp. 237-339.
-
(2002)
Acta Numer
, vol.11
, pp. 237-339
-
-
HIPTMAIR, R.1
-
34
-
-
25444439239
-
Interior penalty method for the indefinite time-harmonic Maxwell equation
-
P. HOUSTON, I. PERUGIA, A. SCHNEEBELI, AND D. SCHÖTZAU, Interior penalty method for the indefinite time-harmonic Maxwell equation, Numer. Math., 100 (2005), pp. 485-518.
-
(2005)
Numer. Math
, vol.100
, pp. 485-518
-
-
HOUSTON, P.1
PERUGIA, I.2
SCHNEEBELI, A.3
SCHÖTZAU, D.4
-
35
-
-
25444439279
-
Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case
-
P. HOUSTON, I. PERUGIA, A. SCHNEEBELI, AND D. SCHÖTZAU, Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case, M2AN Math. Model. Numer. Anal., 39 (2005), pp. 727-753.
-
(2005)
M2AN Math. Model. Numer. Anal
, vol.39
, pp. 727-753
-
-
HOUSTON, P.1
PERUGIA, I.2
SCHNEEBELI, A.3
SCHÖTZAU, D.4
-
36
-
-
20144385612
-
Mixed discontinuous Galerkin approximation of the Maxwell operator
-
P. HOUSTON, I. PERUGIA, AND D. SCHÖTZAU, Mixed discontinuous Galerkin approximation of the Maxwell operator, SIAM J. Numer. Anal., 42 (2004), pp. 434-459.
-
(2004)
SIAM J. Numer. Anal
, vol.42
, pp. 434-459
-
-
HOUSTON, P.1
PERUGIA, I.2
SCHÖTZAU, D.3
-
37
-
-
17444426685
-
Mixed discontinuous Galerkin approximation of the Maxwell operator: Non-stabilized formulation
-
P. HOUSTON, I. PERUGIA, AND D. SCHÖTZAU, Mixed discontinuous Galerkin approximation of the Maxwell operator: Non-stabilized formulation, J. Sci. Comput., 22/23 (2005), pp. 315-346.
-
(2005)
J. Sci. Comput
, vol.22-23
, pp. 315-346
-
-
HOUSTON, P.1
PERUGIA, I.2
SCHÖTZAU, D.3
-
43
-
-
0037073023
-
Stabilized interior penalty methods for the time-harmonic Maxwell equations
-
I. PERUGIA, D. SCHÖTZAU, AND P. MONK, Stabilized interior penalty methods for the time-harmonic Maxwell equations, Comput. Methods. Appl. Mech. Engrg., 191 (2002), pp. 4675-4697.
-
(2002)
Comput. Methods. Appl. Mech. Engrg
, vol.191
, pp. 4675-4697
-
-
PERUGIA, I.1
SCHÖTZAU, D.2
MONK, P.3
-
44
-
-
84966217446
-
An observation concerning Ritz-Galerkin methods with indefinite bilinear forms
-
A. SCHATZ, An observation concerning Ritz-Galerkin methods with indefinite bilinear forms, Math. Comp., 28 (1974), pp. 959-962.
-
(1974)
Math. Comp
, vol.28
, pp. 959-962
-
-
SCHATZ, A.1
|