Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods

Qun Lin;  ; Hehu Xie;

doi:10.3934/ipi.2013.7.795

Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods

Inverse Problems & Imaging ◽

10.3934/ipi.2013.7.795 ◽

2013 ◽

Vol 7 (3) ◽

pp. 795-811 ◽

Cited By ~ 5

Author(s):

Qun Lin ◽

◽

Hehu Xie ◽

Keyword(s):

Finite Element ◽

Lower Bounds ◽

Finite Element Methods ◽

Eigenvalue Problems ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Methods

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Nonconforming finite element methods for eigenvalue problems in linear plate theory

Numerische Mathematik ◽

10.1007/bf01396493 ◽

1979 ◽

Vol 33 (1) ◽

pp. 23-42 ◽

Cited By ~ 58

Author(s):

Rolf Rannacher

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Eigenvalue Problems ◽

Plate Theory ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Methods

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Lower Bounds for Eigenvalues of Elliptic Operators: By Nonconforming Finite Element Methods

Journal of Scientific Computing ◽

10.1007/s10915-014-9821-5 ◽

2014 ◽

Vol 61 (1) ◽

pp. 196-221 ◽

Cited By ~ 35

Author(s):

Jun Hu ◽

Yunqing Huang ◽

Qun Lin

Keyword(s):

Finite Element ◽

Lower Bounds ◽

Finite Element Methods ◽

Elliptic Operators ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Methods

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A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods

BIT Numerical Mathematics ◽

10.1007/s10543-015-0545-1 ◽

2015 ◽

Vol 55 (4) ◽

pp. 1243-1266 ◽

Cited By ~ 3

Author(s):

Hehu Xie

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Eigenvalue Problems ◽

Nonconforming Finite Element ◽

Correction Scheme ◽

Multi Level ◽

Nonconforming Finite Element Methods

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Generalized local projection stabilized nonconforming finite element methods for Darcy equations

Numerical Algorithms ◽

10.1007/s11075-021-01117-6 ◽

2021 ◽

Author(s):

Deepika Garg ◽

Sashikumaar Ganesan

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Nonconforming Finite Element ◽

Local Projection ◽

Darcy Equations ◽

Nonconforming Finite Element Methods

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Nonconforming finite element methods on quadrilateral meshes

Science China Mathematics ◽

10.1007/s11425-013-4741-7 ◽

2013 ◽

Vol 56 (12) ◽

pp. 2599-2614 ◽

Cited By ~ 7

Author(s):

Jun Hu ◽

ShangYou Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Nonconforming Finite Element ◽

Quadrilateral Meshes ◽

Nonconforming Finite Element Methods

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Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems

Numerische Mathematik ◽

10.1007/s00211-010-0307-6 ◽

2010 ◽

Vol 116 (3) ◽

pp. 383-419 ◽

Cited By ~ 8

Author(s):

Huangxin Chen ◽

Xuejun Xu ◽

Ronald H. W. Hoppe

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Nonconforming Finite Element ◽

Indefinite Problems ◽

Nonconforming Finite Element Methods

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An observation on Korn's inequality for nonconforming finite element methods

Mathematics of Computation ◽

10.1090/s0025-5718-05-01783-7 ◽

2005 ◽

Vol 75 (253) ◽

pp. 1-7 ◽

Cited By ~ 16

Author(s):

Kent-Andre Mardal ◽

Ragnar Winther

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Nonconforming Finite Element ◽

Korn’S Inequality ◽

Nonconforming Finite Element Methods

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Stabilized nonconforming finite element methods for data assimilation in incompressible flows

Mathematics of Computation ◽

10.1090/mcom/3255 ◽

2017 ◽

Vol 87 (311) ◽

pp. 1029-1050 ◽

Cited By ~ 2

Author(s):

Erik Burman ◽

Peter Hansbo

Keyword(s):

Finite Element ◽

Data Assimilation ◽

Finite Element Methods ◽

Incompressible Flows ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Methods

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An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods

SIAM Journal on Numerical Analysis ◽

10.1137/0732008 ◽

1995 ◽

Vol 32 (1) ◽

pp. 235-248 ◽

Cited By ~ 18

Author(s):

Panayot S. Vassilevski ◽

Junping Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Nonconforming Finite Element ◽

Multilevel Theory ◽

Nonconforming Finite Element Methods

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A unifying theory of a posteriori error control for nonconforming finite element methods

Numerische Mathematik ◽

10.1007/s00211-007-0068-z ◽

2007 ◽

Vol 107 (3) ◽

pp. 473-502 ◽

Cited By ~ 73

Author(s):

C. Carstensen ◽

Jun Hu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Error Control ◽

Posteriori Error ◽

Nonconforming Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

Nonconforming Finite Element Methods

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