Least-squares mixed finite element methods for non-selfadjoint elliptic problems: I. Error estimates

A.I. Pehlivanov; G.F. Carey; P.S. Vassilevski

doi:10.1007/s002110050179

Least-squares mixed finite element methods for non-selfadjoint elliptic problems: I. Error estimates

Numerische Mathematik ◽

10.1007/s002110050179 ◽

1996 ◽

Vol 72 (4) ◽

pp. 501-522 ◽

Cited By ~ 35

Author(s):

A.I. Pehlivanov ◽

G.F. Carey ◽

P.S. Vassilevski

Keyword(s):

Finite Element ◽

Least Squares ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

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Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods

SIAM Journal on Scientific Computing ◽

10.1137/0916065 ◽

1995 ◽

Vol 16 (5) ◽

pp. 1126-1136 ◽

Cited By ~ 19

Author(s):

G. F. Carey ◽

A. I. Pehlivanov ◽

P. S. Vassilevski

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Factorization Methods ◽

Ilu Factorization

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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

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Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-012-9666-8 ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-164 ◽

Cited By ~ 9

Author(s):

Deepjyoti Goswami ◽

Amiya K. Pani ◽

Sangita Yadav

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Optimal Error Estimates ◽

Optimal Error ◽

Nonsmooth Initial Data

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SharpL2-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900378406 ◽

2002 ◽

Vol 40 (4) ◽

pp. 1538-1560 ◽

Cited By ~ 42

Author(s):

Richard E. Ewing ◽

Yanping Lin. ◽

Tong Sun. ◽

Junping Wang. ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Flows In Porous Media

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Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces

Mathematics of Computation ◽

10.1090/mcom/3093 ◽

2016 ◽

Vol 85 (302) ◽

pp. 2609-2638 ◽

Cited By ~ 6

Author(s):

Bernardo Cockburn ◽

Alan Demlow

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Hybridizable Discontinuous Galerkin

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Error estimates of mixed finite element methods for quadratic optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.09.018 ◽

2010 ◽

Vol 233 (8) ◽

pp. 1812-1820 ◽

Cited By ~ 4

Author(s):

Xiaoqing Xing ◽

Yanping Chen ◽

Nianyu Yi

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Control Problems ◽

Quadratic Optimal Control

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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 ◽

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

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Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1988220303711 ◽

1988 ◽

Vol 22 (3) ◽

pp. 371-387 ◽

Cited By ~ 20

Author(s):

Ricardo G. Durán

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

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Functional-type a posteriori error estimates for mixed finite element methods

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/156939805775122271 ◽

2005 ◽

Vol 20 (4) ◽

Cited By ~ 3

Author(s):

S. I. Repin ◽

A. Smolianski

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Mixed Finite Element Methods ◽

Functional Type ◽

A Posteriori ◽

A Posteriori Error

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Optimal L?-error estimates for nonconforming and mixed finite element methods of lowest order

Numerische Mathematik ◽

10.1007/bf01408578 ◽

1987 ◽

Vol 50 (5) ◽

pp. 587-611 ◽

Cited By ~ 26

Author(s):

Lucia Gastaldi ◽

Ricardo Nochetto

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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