Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods

Graeme Fairweather; Qun Lin; Yanping Lin; Junping Wang; Shuhua Zhang

doi:10.1137/040614293

Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods

SIAM Journal on Numerical Analysis ◽

10.1137/040614293 ◽

2006 ◽

Vol 44 (3) ◽

pp. 1122-1149 ◽

Cited By ~ 17

Author(s):

Graeme Fairweather ◽

Qun Lin ◽

Yanping Lin ◽

Junping Wang ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Asymptotic Expansions ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Approximate Solutions ◽

Richardson Extrapolation ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

Asymptotic expansions andL ?-error estimates for mixed finite element methods for second order elliptic problems

Numerische Mathematik ◽

10.1007/bf01396046 ◽

1989 ◽

Vol 55 (4) ◽

pp. 401-430 ◽

Cited By ~ 27

Author(s):

Junping Wang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Asymptotic Expansions ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

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 ◽

Cited By ~ 20

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

Download Full-text

Asymptotic expansions and Richardson extrapolation of approximate solutions for integro-differential equations by mixed finite element methods

Advances in Computational Mathematics ◽

10.1007/s10444-007-9052-5 ◽

2007 ◽

Vol 29 (4) ◽

pp. 337-356 ◽

Cited By ~ 2

Author(s):

Shanghui Jia ◽

Deli Li ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Differential Equations ◽

Finite Element Methods ◽

Asymptotic Expansions ◽

Mixed Finite Element ◽

Approximate Solutions ◽

Richardson Extrapolation ◽

Mixed Finite Element Methods

Download Full-text

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 ◽

Cited By ~ 55

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

Download Full-text

Expanded mixed finite element methods for quasilinear second order elliptic problems, II

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1998320405011 ◽

1998 ◽

Vol 32 (4) ◽

pp. 501-520 ◽

Cited By ~ 35

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

Download Full-text

Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0732040 ◽

1995 ◽

Vol 32 (3) ◽

pp. 865-885 ◽

Cited By ~ 65

Author(s):

Eun-Jae Park

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

Mixed finite element methods for quasilinear second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1985-0777266-1 ◽

1985 ◽

Vol 44 (170) ◽

pp. 303-303 ◽

Cited By ~ 80

Author(s):

F. A. Milner

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

Mixed finite element methods for quasilinear second order elliptic problems : the $p$-version

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1992260709131 ◽

1992 ◽

Vol 26 (7) ◽

pp. 913-931 ◽

Cited By ~ 7

Author(s):

F. A. Milner ◽

M. Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

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

Download Full-text

Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media

Applications of Mathematics ◽

10.1007/s10492-008-0011-3 ◽

2008 ◽

Vol 53 (1) ◽

pp. 13-39 ◽

Cited By ~ 2

Author(s):

Shanghui Jia ◽

Deli Li ◽

Tang Liu ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Differential Equations ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Richardson Extrapolation ◽

Mixed Finite Element Methods ◽

Defect Correction

Download Full-text