On the Impact of Triangle Shapes for Boundary Layer Problems Using High-Order Finite Element Discretization

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2010-542 ◽

2010 ◽

Author(s):

Huafei Sun ◽

David Darmofal ◽

Robert Haimes

Keyword(s):

Boundary Layer ◽

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Boundary Layer Problems ◽

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On the impact of triangle shapes for boundary layer problems using high-order finite element discretization

Journal of Computational Physics ◽

10.1016/j.jcp.2011.09.018 ◽

2012 ◽

Vol 231 (2) ◽

pp. 541-557 ◽

Author(s):

Huafei Sun ◽

David L. Darmofal ◽

Robert Haimes

Keyword(s):

Boundary Layer ◽

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Boundary Layer Problems ◽

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Block Preconditioning Strategies for High Order Finite Element Discretization of the Time-Harmonic Maxwell Equations

Scientific Computing in Electrical Engineering SCEE 2010 - Mathematics in Industry ◽

10.1007/978-3-642-22453-9_3 ◽

2011 ◽

pp. 25-33

Author(s):

Matthias Bollhöfer ◽

Stéphane Lanteri

Keyword(s):

Finite Element ◽

Maxwell Equations ◽

Finite Element Discretization ◽

Element Discretization ◽

Time Harmonic ◽

Block Preconditioning

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A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation

Journal of Computational Physics ◽

10.1016/j.jcp.2006.05.022 ◽

2006 ◽

Vol 220 (1) ◽

pp. 409-421 ◽

Author(s):

Isaías Alonso-Mallo ◽

Nuria Reguera

Keyword(s):

Finite Element ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Finite Element Discretization ◽

Absorbing Boundary ◽

Element Discretization

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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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