Higher order finite elements in space and time for anisotropic simulations with variational integrators. Application of an efficient GPU implementation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.09.018 ◽

2020 ◽

Vol 170 ◽

pp. 164-204

Author(s):

M. Bartelt ◽

O. Klöckner ◽

J. Dietzsch ◽

M. Groß

Keyword(s):

Finite Elements ◽

Higher Order ◽

Variational Integrators ◽

Space And Time ◽

Higher Order Finite Elements ◽

Gpu Implementation

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Efficient implementation of energy conservation for higher order finite elements with variational integrators

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2018.03.002 ◽

2018 ◽

Vol 150 ◽

pp. 83-121 ◽

Author(s):

M. Bartelt ◽

J. Dietzsch ◽

M. Groß

Keyword(s):

Finite Elements ◽

Energy Conservation ◽

Higher Order ◽

Efficient Implementation ◽

Variational Integrators ◽

Higher Order Finite Elements

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Gray Phonon Transport Prediction of Thermal Conductivity in Lithium Aluminate with Higher-Order Finite Elements on Meshes with Curved Surfaces

Journal of Computational and Theoretical Transport ◽

10.1080/23324309.2021.1900258 ◽

2021 ◽

pp. 1-25

Author(s):

Nicholas H. Whitman ◽

Todd S. Palmer ◽

P. Alex Greaney ◽

S. Aria Hosseini ◽

Douglas E. Burkes ◽

...

Keyword(s):

Thermal Conductivity ◽

Finite Elements ◽

Phonon Transport ◽

Higher Order ◽

Curved Surfaces ◽

Lithium Aluminate ◽

Higher Order Finite Elements ◽

Transport Prediction

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Radiation heat transfer between diffuse-gray surfaces using higher order finite elements

10.2514/6.2000-2371 ◽

2000 ◽

Author(s):

Dana Gould

Keyword(s):

Heat Transfer ◽

Finite Elements ◽

Radiation Heat Transfer ◽

Higher Order ◽

Radiation Heat ◽

Higher Order Finite Elements

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Analysis of shear walls using higher order finite elements

Building and Environment ◽

10.1016/0360-1323(81)90049-4 ◽

1981 ◽

Vol 16 (1) ◽

pp. 69

Author(s):

J. Marshall

Keyword(s):

Finite Elements ◽

Shear Walls ◽

Higher Order ◽

Higher Order Finite Elements

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On parallel solution of linear elasticity problems. Part III: higher order finite elements

Numerical Linear Algebra with Applications ◽

10.1002/nla.1852 ◽

2012 ◽

Vol 20 (5) ◽

pp. 869-887

Author(s):

Ivar Gustafsson ◽

Gunhild Lindskog

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Higher Order ◽

Parallel Solution ◽

Elasticity Problems ◽

Higher Order Finite Elements

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HIGHER ORDER FINITE ELEMENTS FOR FLOW OF VISCOELASTIC FLUIDS

Theoretical and Applied Rheology ◽

10.1016/b978-0-444-89007-8.50111-8 ◽

1992 ◽

pp. 289-291

Author(s):

K.K. Talwar ◽

B. Khomami

Keyword(s):

Finite Elements ◽

Viscoelastic Fluids ◽

Higher Order ◽

Higher Order Finite Elements

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Discrete maximum principle for higher-order finite elements in 1D

Mathematics of Computation ◽

10.1090/s0025-5718-07-02022-4 ◽

2007 ◽

Vol 76 (260) ◽

pp. 1833-1847 ◽

Author(s):

Tomáš Vejchodský ◽

Pavel Šolín

Keyword(s):

Maximum Principle ◽

Finite Elements ◽

Higher Order ◽

Discrete Maximum Principle ◽

Higher Order Finite Elements

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A global digital volume correlation algorithm based on higher-order finite elements: Implementation and evaluation

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2019.03.024 ◽

2019 ◽

Vol 168 ◽

pp. 211-227 ◽

Author(s):

Nico P. van Dijk ◽

Dan Wu ◽

Cecilia Persson ◽

Per Isaksson

Keyword(s):

Finite Elements ◽

Higher Order ◽

Digital Volume Correlation ◽

Correlation Algorithm ◽

Higher Order Finite Elements

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A systematic approach to the construction of higher‐order finite elements with mass lumping for the wave equation

10.1190/1.1820272 ◽

1998 ◽

Author(s):

M. J. S. Chin‐Joe‐Kong ◽

W. A. Mulder ◽

M. van Veldhuizen

Keyword(s):

Wave Equation ◽

Finite Elements ◽

Systematic Approach ◽

Higher Order ◽

Mass Lumping ◽

Higher Order Finite Elements

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G1-Interpolation and geometry reconstruction for higher order finite elements

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.05.026 ◽

2009 ◽

Vol 198 (13-14) ◽

pp. 1198-1212 ◽

Author(s):

L. Demkowicz ◽

P. Gatto ◽

W. Qiu ◽

A. Joplin

Keyword(s):

Finite Elements ◽

Higher Order ◽

Geometry Reconstruction ◽

Higher Order Finite Elements

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