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(1)
Nonconforming Nite Elements
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(2)
The finite element method for elliptic problems
An Inexpensive M...
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Mixed and nonconforming nite element methods: implementation
Mixed and nonconforming nite element methods: implementation,D. N. Arnold,F. Brezzi
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Mixed and nonconforming nite element methods: implementation
(
Citations: 31
)
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D. N. Arnold
,
F. Brezzi
Published in 1985.
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Citation Context
(2)
...We can adopt the ideas of the proof of Theorem 2.4 to prove Theorem 4.1 with the following points in mind: 1. The error of the nonconforming approximate solution of the inhomogeneous boundary value problem can be estimated by rst obtaining an inequality similar to (2.1), subtracting o appropriate \conforming" parts as in (2.2) and then applying the bilinear lemma [6], cf. [
3
], [6], [15], [22]...
Jinsheng Gu
,
et al.
Extension theorems for plate elements with applications
...It is well known that CrouzeixRaviart elements are strongly related with RaviartThomas ones when applied to the Laplace equation (see Setion 2 of [
2
]; in particular Lemma 2.4)...
...Then, the arguments in [
2
] can be readily adapted to prove the lemma, with ph 2 CRb h( F)...
Ana Alonso
,
et al.
Accurate pressure postprocess of a nite element method for elastoacou...
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Citations
(31)
Error estimates for RaviartThomas interpolation of any order on anisotropic tetrahedra
Gabriel Acosta
,
Thomas Apel
,
Ricardo G. Durán
,
Ariel L. Lombardi
Journal:
Mathematics of Computation  Math. Comput.
, vol. 80, no. 273, pp. 141163, 2011
Convergence and optimality of adaptive mixed finite element methods
(
Citations: 10
)
Long Chen
,
Michael J. Holst
,
Jinchao Xu
Journal:
Mathematics of Computation  Math. Comput.
, vol. 78, no. 265, pp. 3553, 2009
A Compact Difference Scheme for the Biharmonic Equation in Planar Irregular Domains
(
Citations: 5
)
Matania BenArtzi
,
I. Chorev
,
JeanPierre Croisille
,
Dalia Fishelov
Journal:
Siam Journal on Numerical Analysis  SIAM J NUMER ANAL
, vol. 47, no. 4, pp. 30873108, 2009
A posteriori error analysis for conforming MITC elements for ReissnerMindlin plates
(
Citations: 2
)
Carsten Carstensen
,
Jun Hu
Journal:
Mathematics of Computation  Math. Comput.
, vol. 77, no. 262, pp. 611632, 2008
A new discretization methodology for diffusion problems on generalized polyhedral meshes
(
Citations: 35
)
Franco Brezzi
,
Konstantin Lipnikov
,
Mikhail Shashkov
,
Valeria Simoncini
Journal:
Computer Methods in Applied Mechanics and Engineering  COMPUT METHOD APPL MECH ENG
, vol. 196, no. 37, pp. 36823692, 2007