Quadratically consistent nodal integration for second order meshfree Galerkin methods

Computational Mechanics ◽

10.1007/s00466-014-0989-1 ◽

2014 ◽

Vol 54 (2) ◽

pp. 353-368 ◽

Author(s):

Qinglin Duan ◽

Bingbing Wang ◽

Xin Gao ◽

Xikui Li

Keyword(s):

Second Order ◽

Galerkin Methods ◽

Nodal Integration

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation

Applicable Analysis ◽

10.1080/00036811.2019.1636968 ◽

2019 ◽

pp. 1-15 ◽

Author(s):

Limin He ◽

Weimin Han ◽

Fei Wang ◽

Wentao Cai

Keyword(s):

Wave Equation ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unconditional Stability ◽

Second Order ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error ◽

Second Order Wave Equation

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Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs

Journal of Scientific Computing ◽

10.1007/s10915-017-0519-3 ◽

2017 ◽

Vol 74 (3) ◽

pp. 1651-1676 ◽

Author(s):

Xiaobing Feng ◽

Michael Neilan ◽

Stefan Schnake

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Divergence Form ◽

Second Order ◽

Elliptic Pdes ◽

Galerkin Methods ◽

Interior Penalty ◽

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Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903421527 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1146-1166 ◽

Author(s):

Zhangxin Chen ◽

Hongsen Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates ◽

Second Order Elliptic Problems

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Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions

Journal of Scientific Computing ◽

10.1007/s10915-018-0765-z ◽

2018 ◽

Vol 77 (3) ◽

pp. 1534-1565

Author(s):

Xiaobing Feng ◽

Thomas Lewis

Keyword(s):

Discontinuous Galerkin ◽

Parabolic Equations ◽

Discontinuous Galerkin Methods ◽

Second Order ◽

Galerkin Methods ◽

High Dimensions ◽

Fully Nonlinear ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Elliptic And Parabolic Equations

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070706616 ◽

2009 ◽

Vol 47 (2) ◽

pp. 1319-1365 ◽

Author(s):

Bernardo Cockburn ◽

Jayadeep Gopalakrishnan ◽

Raytcho Lazarov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Continuous Galerkin ◽

Continuous Galerkin Methods ◽

Second Order Elliptic Problems

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$L_\infty $ Estimates of Optimal Orders for Galerkin Methods for One-Dimensional Second Order Parabolic and Hyperbolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0710076 ◽

1973 ◽

Vol 10 (5) ◽

pp. 908-913 ◽

Author(s):

Mary Fanett Wheeler

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Galerkin Methods ◽

One Dimensional

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Weak Galerkin methods for second order elliptic interface problems

Journal of Computational Physics ◽

10.1016/j.jcp.2013.04.042 ◽

2013 ◽

Vol 250 ◽

pp. 106-125 ◽

Author(s):

Lin Mu ◽

Junping Wang ◽

Guowei Wei ◽

Xiu Ye ◽

Shan Zhao

Keyword(s):

Second Order ◽

Interface Problems ◽

Galerkin Methods ◽

Weak Galerkin ◽

Elliptic Interface Problems

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Generalised Galerkin methods for second order equations with significant first derivative terms

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0067699 ◽

1978 ◽

pp. 90-104 ◽

Author(s):

A R Mitchell ◽

D F Griffiths

Keyword(s):

Second Order ◽

Galerkin Methods ◽

First Derivative ◽

Second Order Equations

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