Newton iterative method based on finite element discretization for the stationary Darcy–Brinkman equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.10.020 ◽

2020 ◽

Vol 80 (12) ◽

pp. 3098-3122

Author(s):

Wenxing Zhu ◽

Pengzhan Huang ◽

Kun Wang

Keyword(s):

Finite Element ◽

Iterative Method ◽

Finite Element Discretization ◽

Element Discretization ◽

Brinkman Equations ◽

Newton Iterative Method

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Analysis of a block Gauss-Seidel iterative method for a finite element discretization of the neutron transport equation

Transport Theory and Statistical Physics ◽

10.1080/00411458508211669 ◽

1985 ◽

Vol 14 (1) ◽

pp. 35-62 ◽

Author(s):

Leonard J. Lorence ◽

William R. Martin ◽

Mitchell Luskin

Keyword(s):

Finite Element ◽

Iterative Method ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Discretization ◽

Element Discretization

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A new iterative method for solving the systems arisen from finite element discretization of a time-harmonic parabolic optimal control problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.02.013 ◽

2021 ◽

Vol 185 ◽

pp. 771-782

Author(s):

Hamid Mirchi ◽

Davod Khojasteh Salkuyeh

Keyword(s):

Optimal Control ◽

Finite Element ◽

Iterative Method ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Time Harmonic ◽

Parabolic Optimal Control ◽

New Iterative Method

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An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.012 ◽

2021 ◽

Vol 165 ◽

pp. 184-197

Author(s):

Jie Peng ◽

Shi Shu ◽

Junxian Wang ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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Two grid finite element discretization method for semi‐linear hyperbolic integro‐differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22370 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1676-1693

Author(s):

Luoping Chen ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Differential Equations ◽

Discretization Method ◽

Finite Element Discretization ◽

Element Discretization

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A Discontinuous Phase-Space Finite Element Discretization of the Linear Boltzmann-Vlasov Equation for Charged Particle Transport

Journal of Computational and Theoretical Transport ◽

10.1080/00411450.2014.910230 ◽

2014 ◽

Vol 43 (1-7) ◽

pp. 128-147 ◽

Author(s):

Shawn D. Pautz ◽

Clif Drumm ◽

Wesley C. Fan ◽

C. David Turner

Keyword(s):

Finite Element ◽

Charged Particle ◽

Phase Space ◽

Vlasov Equation ◽

Particle Transport ◽

Finite Element Discretization ◽

Element Discretization ◽

Discontinuous Phase ◽

Charged Particle Transport

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Local error estimates for finite element discretization of the Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1995290303671 ◽

1995 ◽

Vol 29 (3) ◽

pp. 367-389 ◽

Author(s):

Douglas N. Arnold ◽

Liu Xiaobo

Keyword(s):

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Local Error ◽

Finite Element Discretization ◽

Element Discretization

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Finite element discretization of non-linear diffusion equations with thermal fluctuations

The Journal of Chemical Physics ◽

10.1063/1.4913746 ◽

2015 ◽

Vol 142 (9) ◽

pp. 094115 ◽

Author(s):

J. A. de la Torre ◽

Pep Español ◽

Aleksandar Donev

Keyword(s):

Finite Element ◽

Thermal Fluctuations ◽

Diffusion Equations ◽

Finite Element Discretization ◽

Linear Diffusion ◽

Element Discretization ◽

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Higher-order finite element discretization

Studies in Advanced Mathematics - Higher-Order Finite Element Methods ◽

10.1201/9780203488041.ch3 ◽

2003 ◽

Keyword(s):

Finite Element ◽

Higher Order ◽

Finite Element Discretization ◽

Element Discretization

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_23 ◽

2011 ◽

pp. 445-466

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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Finite element discretization of Darcy's equations with pressure dependent porosity

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2010019 ◽

2010 ◽

Vol 44 (6) ◽

pp. 1155-1191 ◽

Author(s):

Vivette Girault ◽

François Murat ◽

Abner Salgado

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Darcy’S Equations

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