Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning

Journal of Computational Physics ◽

10.1016/0021-9991(85)90034-8 ◽

1985 ◽

Vol 60 (3) ◽

pp. 517-533 ◽

Author(s):

M Deville ◽

E Mund

Keyword(s):

Finite Element ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations ◽

Chebyshev Pseudospectral

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Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/110833737 ◽

2012 ◽

Vol 50 (2) ◽

pp. 626-642 ◽

Author(s):

Junping Wang ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Elliptic Equations ◽

Second Order ◽

Maximum Principles ◽

Finite Element Approximations ◽

Conforming Finite Element ◽

Second Order Elliptic Equations

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$(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0020 ◽

2021 ◽

Vol 13 (3) ◽

pp. 554-568

Author(s):

global sci

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Finite Element Methods ◽

Elliptic Equations ◽

Second Order ◽

Order Convergence ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Equations

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Superconvergence ofH1-Galerkin Mixed Finite Element Methods for Second-Order Elliptic Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2011.602202 ◽

2012 ◽

Vol 33 (3) ◽

pp. 320-337 ◽

Author(s):

Madhusmita Tripathy ◽

Rajen Kumar Sinha

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Equations

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Schemes of the finite element method of high orders of accuracy for second-order elliptic equations in three-dimensional regions — I

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(79)90163-0 ◽

1979 ◽

Vol 19 (4) ◽

pp. 149-162 ◽

Author(s):

V.G. Korneev

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equations ◽

Three Dimensional ◽

Second Order ◽

The Finite Element Method ◽

Second Order Elliptic Equations ◽

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On the relationship of various discontinuous finite element methods for second-order elliptic equations

Journal of Numerical Mathematics ◽

10.1515/jnma.2001.99 ◽

2001 ◽

Vol 9 (2) ◽

Author(s):

Zh. Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Equations ◽

Second Order ◽

Discontinuous Finite Element ◽

Second Order Elliptic Equations ◽

Relationship Of ◽

The Relationship

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A Least Square Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations in Non-Divergence Form

Acta Mathematica Scientia ◽

10.1007/s10473-020-0521-y ◽

2020 ◽

Vol 40 (5) ◽

pp. 1553-1562

Author(s):

Peng Zhu ◽

Xiaoshen Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equations ◽

Divergence Form ◽

Second Order ◽

Least Square ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Equations

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A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations

SIAM Journal on Scientific Computing ◽

10.1137/16m1083244 ◽

2017 ◽

Vol 39 (4) ◽

pp. A1531-A1557 ◽

Author(s):

Lin Mu ◽

Junping Wang ◽

Xiu Ye

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Elliptic Equations ◽

Second Order ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Second Order Elliptic Equations ◽

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Error-controlled adaptive mixed finite element methods for second-order elliptic equations

Computational Mechanics ◽

10.1007/s00466-008-0259-1 ◽

2008 ◽

Vol 42 (3) ◽

pp. 447-456 ◽

Author(s):

Marcus Rüter ◽

Rolf Stenberg

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Equations

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Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1989230101031 ◽

1989 ◽

Vol 23 (1) ◽

pp. 103-128 ◽

Author(s):

Lucia Gastaldi ◽

Ricardo H. Nochetto

Keyword(s):

Finite Element ◽

Error Estimates ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Second Order ◽

Maximum Norm ◽

Sharp Maximum ◽

Finite Element Approximations ◽

Second Order Elliptic Equations ◽

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Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form

SIAM Journal on Numerical Analysis ◽

10.1137/19m1271099 ◽

2020 ◽

Vol 58 (6) ◽

pp. 3286-3308

Author(s):

Weifeng Qiu ◽

Shun Zhang

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Elliptic Equations ◽

Second Order ◽

Order System ◽

First Order ◽

Nondivergence Form ◽

Second Order Elliptic Equations

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