Asymptotic Error Expansions for the Finite Element Method for Second Order Elliptic Problems in $R^N$, $N\geq2$. I: Local Interior Expansions

M. Asadzadeh; A. H. Schatz; W. Wendland

doi:10.1137/080742737

Asymptotic Error Expansions for the Finite Element Method for Second Order Elliptic Problems in $R^N$, $N\geq2$. I: Local Interior Expansions

SIAM Journal on Numerical Analysis ◽

10.1137/080742737 ◽

2010 ◽

Vol 48 (5) ◽

pp. 2000-2017 ◽

Cited By ~ 12

Author(s):

M. Asadzadeh ◽

A. H. Schatz ◽

W. Wendland

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

The Finite Element Method ◽

Asymptotic Error ◽

Second Order Elliptic Problems ◽

Asymptotic Error Expansions ◽

Element Method

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Regularity results for discrete solutions of second order elliptic problems in the finite element method

CALCOLO ◽

10.1007/bf02576116 ◽

1986 ◽

Vol 23 (4) ◽

pp. 327-353 ◽

Cited By ~ 4

Author(s):

N. E. Aguilera ◽

L. A. Caffarelli

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

The Finite Element Method ◽

Second Order Elliptic Problems ◽

Regularity Results ◽

Element Method

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About the conditioning of matrices in the p-version of the finite element method for second order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00062-3 ◽

1995 ◽

Vol 63 (1-3) ◽

pp. 341-348 ◽

Cited By ~ 3

Author(s):

Jean-François Maitre ◽

Olivier Pourquier

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

The Finite Element Method ◽

Second Order Elliptic Problems ◽

Element Method

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A new approach to Richardson extrapolation in the finite element method for second order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-09-02241-8 ◽

2009 ◽

Vol 78 (268) ◽

pp. 1951-1973 ◽

Cited By ~ 14

Author(s):

M. Asadzadeh ◽

A. H. Schatz ◽

W. Wendland

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Richardson Extrapolation ◽

Second Order ◽

The Finite Element Method ◽

New Approach ◽

Second Order Elliptic Problems ◽

Element Method

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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 ◽

Cited By ~ 4

Author(s):

Suh-Yuh Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Element Method

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A weak Galerkin finite element method for second-order elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.10.003 ◽

2013 ◽

Vol 241 ◽

pp. 103-115 ◽

Cited By ~ 225

Author(s):

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Problems ◽

Element Method

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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

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Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.01.011 ◽

2009 ◽

Vol 59 (8) ◽

pp. 1884-1893 ◽

Cited By ~ 14

Author(s):

Qun Lin ◽

Hehu Xie

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Method ◽

Richardson Extrapolation ◽

Second Order ◽

Asymptotic Error ◽

Error Expansion ◽

Second Order Elliptic Problems

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A primal hybrid finite element method for quasilinear second order elliptic problems

Numerische Mathematik ◽

10.1007/bf01389879 ◽

1985 ◽

Vol 47 (1) ◽

pp. 107-122 ◽

Cited By ~ 6

Author(s):

Fabio A. Milner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Second Order Elliptic Problems ◽

Element Method

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TheP-version of the mixed-finite element method for nonlinear second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690120103 ◽

1996 ◽

Vol 12 (1) ◽

pp. 1-11 ◽

Cited By ~ 3

Author(s):

Mi-Young Kim ◽

Eun-Jae Park

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Method ◽

Second Order ◽

Second Order Elliptic Problems ◽

Element Method

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The local ultraconvergence of high‐order finite element method for second‐order elliptic problems with constant coefficients over a rectangular partition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22398 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2044-2055 ◽

Cited By ~ 1

Author(s):

Wen‐ming He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Second Order ◽

High Order ◽

Constant Coefficients ◽

Second Order Elliptic Problems ◽

Element Method

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