Numerical Experiments Using MATLAB: Superconvergence of Nonconforming Finite Element Approximation for Second-Order Elliptic Problems

Anna Harris; Stephen Harris; Danielle Rauls

doi:10.4236/am.2016.717173

Numerical Experiments Using MATLAB: Superconvergence of Nonconforming Finite Element Approximation for Second-Order Elliptic Problems

Applied Mathematics ◽

10.4236/am.2016.717173 ◽

2016 ◽

Vol 07 (17) ◽

pp. 2174-2182

Author(s):

Anna Harris ◽

Stephen Harris ◽

Danielle Rauls

Keyword(s):

Finite Element ◽

Numerical Experiments ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Second Order ◽

Element Approximation ◽

Nonconforming Finite Element ◽

Second Order Elliptic Problems

Download Full-text

Numerical Experiments Using MATLAB: Superconvergence of Conforming Finite, Element Approximation for Second Order, Elliptic Problems

Applied Mathematics ◽

10.4236/am.2018.96047 ◽

2018 ◽

Vol 09 (06) ◽

pp. 691-701

Author(s):

Anna Harris ◽

Stephen Harris ◽

Camille Gardner ◽

Tyrone Brock

Keyword(s):

Finite Element ◽

Numerical Experiments ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Second Order ◽

Element Approximation ◽

Conforming Finite Element ◽

Second Order Elliptic Problems

Download Full-text

Anisotropic Nonconforming $${ EQ}_1^{rot}$$ Quadrilateral Finite Element Approximation to Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-013-9690-3 ◽

2013 ◽

Vol 56 (3) ◽

pp. 637-653 ◽

Cited By ~ 22

Author(s):

Dong-yang Shi ◽

Chao Xu ◽

Jin-huan Chen

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Second Order ◽

Element Approximation ◽

Second Order Elliptic Problems ◽

Quadrilateral Finite Element

Download Full-text

Superconvergence of weak Galerkin finite element approximation for second order elliptic problems by L2-projections

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.11.065 ◽

2014 ◽

Vol 227 ◽

pp. 610-621 ◽

Cited By ~ 3

Author(s):

Anna Harris ◽

Stephen Harris

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Second Order ◽

Element Approximation ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Problems

Download Full-text

Two-grid nonconforming finite element method for second order elliptic problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.10.049 ◽

2006 ◽

Vol 177 (1) ◽

pp. 211-219 ◽

Cited By ~ 3

Author(s):

Cheng Wang ◽

Ziping Huang ◽

Likang Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Second Order Elliptic Problems ◽

Element Method

Download Full-text

An economical cascadic multigrid method for the weak Galerkin finite element approximation of second order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.10.018 ◽

2019 ◽

Vol 362 ◽

pp. 341-353

Author(s):

Wenting Shao ◽

Shi Sun ◽

Yingwei Wang

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Element Approximation ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Cascadic Multigrid ◽

Cascadic Multigrid Method ◽

Second Order Elliptic Problems

Download Full-text

Substructuring preconditioners for nonconforming finite element approximations of second-order elliptic problems with anisotropy

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1995.10.6.511 ◽

1995 ◽

Vol 10 (6) ◽

Cited By ~ 1

Author(s):

YU. A. KUZNETSOV ◽

S. YU. MALIASSOV

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Nonconforming Finite Element ◽

Finite Element Approximations ◽

Second Order Elliptic Problems

Download Full-text

A Nonconforming Finite Element Approximation for the von Karman equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015052 ◽

2016 ◽

Vol 50 (2) ◽

pp. 433-454 ◽

Cited By ~ 9

Author(s):

Gouranga Mallik ◽

Neela Nataraj

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Nonconforming Finite Element ◽

Von Karman ◽

Von Kármán Equations ◽

Von Kármán

Download Full-text

P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902404923 ◽

2003 ◽

Vol 41 (2) ◽

pp. 624-640 ◽

Cited By ~ 88

Author(s):

Chunjae Park ◽

Dongwoo Sheen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Quadrilateral Finite Element

Download Full-text

Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0120 ◽

2021 ◽

Vol 14 (3) ◽

pp. 613-623

Author(s):

Xiu Ye & Shangyou Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

Optimal convergence rates ofhpmortar finite element methods for second-order elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000158 ◽

2000 ◽

Vol 34 (3) ◽

pp. 591-608 ◽

Cited By ~ 23

Author(s):

Faker Ben Belgacem ◽

Padmanabhan Seshaiyer ◽

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Convergence Rates ◽

Elliptic Problems ◽

Second Order ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Second Order Elliptic Problems

Download Full-text