On Hanging Node Constraints for Nonconforming Finite Elements using the Douglas--Santos--Sheen--Ye Element as an Example

SIAM Journal on Numerical Analysis ◽

10.1137/16m1071432 ◽

2017 ◽

Vol 55 (4) ◽

pp. 1719-1739 ◽

Author(s):

Wolfgang Bangerth ◽

Imbunm Kim ◽

Dongwoo Sheen ◽

Jaeryun Yim

Keyword(s):

Finite Elements ◽

Hanging Node ◽

Nonconforming Finite Elements

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An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements

Mathematics of Computation ◽

10.2307/2008649 ◽

1989 ◽

Vol 52 (185) ◽

pp. 1 ◽

Author(s):

Susanne C. Brenner

Keyword(s):

Finite Elements ◽

Multigrid Method ◽

Optimal Order ◽

Nonconforming Finite Elements

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3D domain decomposition method coupling conforming and nonconforming finite elements

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:1999162 ◽

1999 ◽

Vol 33 (4) ◽

pp. 771-780 ◽

Author(s):

Abdellatif Agouzal ◽

Laurence Lamoulie ◽

Jean-Marie Thomas

Keyword(s):

Finite Elements ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Nonconforming Finite Elements

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Implementation of Bilinear Nonconforming Finite Elements in an Eulerian Air Pollution Model: Results Obtained by Using the Rotational Test

Numerical Methods and Applications - Lecture Notes in Computer Science ◽

10.1007/3-540-36487-0_42 ◽

2003 ◽

pp. 379-386 ◽

Author(s):

Anton Antonov ◽

Krassimir Georgiev ◽

Emilia Komsalova ◽

Zahari Zlatev

Keyword(s):

Air Pollution ◽

Finite Elements ◽

Nonconforming Finite Elements ◽

Air Pollution Model

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Nonconforming finite elements for curved regions

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0080110 ◽

1976 ◽

pp. 1-14

Author(s):

Robert E Barnhill ◽

James H Brown

Keyword(s):

Finite Elements ◽

Nonconforming Finite Elements

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Nonconforming Finite Elements

Finite Element Methods and Their Applications - Scientific Computation ◽

10.1007/3-540-28078-2_2 ◽

2005 ◽

pp. 87-116

Keyword(s):

Finite Elements ◽

Nonconforming Finite Elements

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Multilevel methods for 𝑃₁ nonconforming finite elements and discontinuous coefficients in three dimensions

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01963 ◽

1994 ◽

pp. 119-124 ◽

Author(s):

Marcus Sarkis

Keyword(s):

Finite Elements ◽

Discontinuous Coefficients ◽

Multilevel Methods ◽

Three Dimensions ◽

Nonconforming Finite Elements

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Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation

Journal of Numerical Mathematics ◽

10.1515/jnma.2002.235 ◽

2002 ◽

Vol 10 (3) ◽

Author(s):

S. Turek ◽

A. Ouazzi ◽

R. Schmachtel

Keyword(s):

Finite Elements ◽

Incompressible Flow ◽

Multigrid Methods ◽

Deformation Tensor ◽

Nonconforming Finite Elements ◽

Tensor Formulation

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Nonconforming finite elements for the Stokes problem

Mathematics of Computation ◽

10.1090/s0025-5718-1989-0958870-8 ◽

1989 ◽

Vol 52 (186) ◽

pp. 437-437 ◽

Author(s):

Michel Crouzeix ◽

Richard S. Falk

Keyword(s):

Finite Elements ◽

Stokes Problem ◽

Nonconforming Finite Elements

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An optimal-order multigrid method for ${\rm P}1$ nonconforming finite elements

Mathematics of Computation ◽

10.1090/s0025-5718-1989-0946598-x ◽

1989 ◽

Vol 52 (185) ◽

pp. 1-1

Author(s):

Susanne C. Brenner

Keyword(s):

Finite Elements ◽

Multigrid Method ◽

Optimal Order ◽

Nonconforming Finite Elements

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A new family of nonconforming finite elements on quadrilaterals

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.05.011 ◽

2015 ◽

Vol 70 (4) ◽

pp. 637-647

Author(s):

Youai Li

Keyword(s):

Finite Elements ◽

Nonconforming Finite Elements

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