A
            least‐squares
            finite element method based on the Helmholtz decomposition for hyperbolic balance laws

Delyan Z. Kalchev; Thomas A. Manteuffel

doi:10.1002/num.22480

A least‐squares finite element method based on the Helmholtz decomposition for hyperbolic balance laws

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22480 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1418-1445

Author(s):

Delyan Z. Kalchev ◽

Thomas A. Manteuffel

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Helmholtz Decomposition ◽

Balance Laws ◽

Hyperbolic Balance Laws ◽

Element Method

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On First-order Formulations of the Least-squares Finite Element Method for Incompressible Flows

International Journal of Computational Fluid Dynamics ◽

10.1080/1061856031000123580 ◽

2003 ◽

Vol 17 (3) ◽

pp. 183-197 ◽

Cited By ~ 6

Author(s):

Xu Ding ◽

Tate T. H. Tsang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Incompressible Flows ◽

First Order ◽

Element Method

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An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Computational Mathematics and Modeling ◽

10.1007/s10598-009-9028-z ◽

2009 ◽

Vol 20 (2) ◽

pp. 192-206

Author(s):

Haiming Gu ◽

Hongwei Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Element Method

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TRANSIENT SOLUTIONS BY A LEAST-SQUARES FINITE-ELEMENT METHOD AND JACOBI CONJUGATE GRADIENT TECHNIQUE

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407799508928829 ◽

1995 ◽

Vol 28 (2) ◽

pp. 183-198 ◽

Cited By ~ 7

Author(s):

Li Q. Tang ◽

Tate T. H. Tsang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Conjugate Gradient ◽

Transient Solutions ◽

Gradient Technique ◽

Element Method

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Contribution to Problem III using a Galerkin Least Squares Finite Element Method

Hypersonic Flows for Reentry Problems ◽

10.1007/978-3-642-77922-0_29 ◽

1992 ◽

pp. 270-287

Author(s):

M. Mallet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Element Method

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The True Origin of Spurious Solutions and Their Avoidance by the Least-Squares Finite Element Method

ICASE/LaRC Interdisciplinary Series in Science and Engineering - Computational Electromagnetics and Its Applications ◽

10.1007/978-94-011-5584-7_7 ◽

1997 ◽

pp. 155-184

Author(s):

Bo-nan Jiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Spurious Solutions ◽

Element Method

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Least-Squares Finite Element Method for Computational Fluid and Solid Mechanics

Computational Mechanics–New Frontiers for the New Millennium ◽

10.1016/b978-0-08-043981-5.50015-8 ◽

2001 ◽

pp. 65-70

Author(s):

Bo-nan Jiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Solid Mechanics ◽

Element Method

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Modified least-squares finite element method for solving the Boltzmann transport equation with spherical harmonic angular approximation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2019.107126 ◽

2020 ◽

Vol 140 ◽

pp. 107126 ◽

Cited By ~ 1

Author(s):

Chao Fang ◽

Hongchun Wu ◽

Liangzhi Cao ◽

Yunzhao Li ◽

Jianxin Miao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Least Squares ◽

Spherical Harmonic ◽

Boltzmann Transport Equation ◽

Boltzmann Transport ◽

Element Method

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Interval study of convergence in the solution of 1D Burgers by least squares finite element method (LSFEM) + Newton linearization

Scientific Research and Essays ◽

10.5897/sre2015.6305 ◽

2015 ◽

Vol 10 (16) ◽

pp. 522-530 ◽

Cited By ~ 1

Author(s):

Fernanda Soares de Oliveira e Silva Barbara ◽

Veloso Garcia Roberta ◽

Cristiane Pinto Mesquita Pardal Paula ◽

Claro Romao Estaner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Element Method

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Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method

SIAM Journal on Numerical Analysis ◽

10.1137/18m1231183 ◽

2020 ◽

Vol 58 (1) ◽

pp. 86-108 ◽

Cited By ~ 1

Author(s):

Johannes Storn

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Equation ◽

The Stokes Equation ◽

Element Method

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On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901399604 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2114-2130 ◽

Cited By ~ 14

Author(s):

Huo-Yuan Duan ◽

Guo-Ping Liang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Velocity Pressure ◽

Element Method

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