An Interior Estimate of Superconvergence for Finite Element Solutions for Second-Order Elliptic Problems on Quasi-uniform Meshes by Local Projections

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902410039 ◽

2003 ◽

Vol 41 (4) ◽

pp. 1318-1338 ◽

Author(s):

Hongsen Chen ◽

Junping Wang

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Interior Estimate ◽

Second Order Elliptic Problems ◽

Local Projections

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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 ◽

Author(s):

Chunjae Park ◽

Dongwoo Sheen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Quadrilateral Finite Element

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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

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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 ◽

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

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On the stability and convergence of higher-order mixed finite element methods for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1990-0990603-x ◽

1990 ◽

Vol 54 (189) ◽

pp. 1-1 ◽

Author(s):

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Higher Order ◽

Second Order ◽

Mixed Finite Element Methods ◽

Stability And Convergence ◽

The Stability ◽

Second Order Elliptic Problems

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Inverse-average-type finite element discretizations of selfadjoint second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1988-0930223-7 ◽

1988 ◽

Vol 51 (184) ◽

pp. 431-431 ◽

Author(s):

Peter A. Markowich ◽

Miloš A. Zl{ámal

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Finite Element Discretizations ◽

Second Order Elliptic Problems ◽

Element Discretizations

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Finite element solution to the second order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(84)90067-0 ◽

1984 ◽

Vol 10 (1) ◽

pp. 39-43 ◽

Author(s):

Hoon Liong Ong

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Finite Element Solution ◽

Element Solution ◽

Second Order Elliptic Problems

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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

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Expanded mixed finite element methods for linear second-order elliptic problems, I

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1998320404791 ◽

1998 ◽

Vol 32 (4) ◽

pp. 479-499 ◽

Author(s):

Zhangxin Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Expanded Mixed Finite Element ◽

Second Order Elliptic Problems

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ANALYSIS OF LEAST-SQUARES APPROXIMATIONS TO SECOND-ORDER ELLIPTIC PROBLEMS. I. FINITE ELEMENT METHOD

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120006702 ◽

2002 ◽

Vol 23 (3-4) ◽

pp. 419-432 ◽

Author(s):

Suh-Yuh Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

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A nonconforming mixed finite element for second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199709)13:5<445::aid-num1>3.0.co;2-j ◽

1997 ◽

Vol 13 (5) ◽

pp. 445-457 ◽

Author(s):

Mohamed Farhloul ◽

And Michel Fortin

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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