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Mathematical Analysis of Continuum Mechanics and Industrial Applications IIIPiecewise Constant Upwind Approximations to the Stationary Radiative Transport Equation

Mathematical Analysis of Continuum Mechanics and Industrial Applications III: Piecewise Constant... [We discuss piecewise constant approximations to the stationary radiative transport equation. Convergence of the proposed scheme is numerically studied with geometrically nonconformal and nonconvex polygonal meshes, and the results imply some extension of the conventional theoretical framework of the standard finite element method. An advantage of the proposed scheme in terms of reducing computational resources is also discussed in comparison with the finite difference method.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematical Analysis of Continuum Mechanics and Industrial Applications IIIPiecewise Constant Upwind Approximations to the Stationary Radiative Transport Equation

Part of the Mathematics for Industry Book Series (volume 34)
Editors: Itou, Hiromichi; Hirano, Shiro; Kimura, Masato; Kovtunenko, Victor A.; Khludnev, Alexandr M.
Fujiwara, Hiroshi
Mathematical Analysis of Continuum Mechanics and Industrial Applications III — Aug 30, 2020
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Publisher
Springer Singapore
Copyright
© Springer Nature Singapore Pte Ltd. 2020
ISBN
978-981-15-6061-3
Pages
35 –45
DOI
10.1007/978-981-15-6062-0_3
Publisher site
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Abstract

[We discuss piecewise constant approximations to the stationary radiative transport equation. Convergence of the proposed scheme is numerically studied with geometrically nonconformal and nonconvex polygonal meshes, and the results imply some extension of the conventional theoretical framework of the standard finite element method. An advantage of the proposed scheme in terms of reducing computational resources is also discussed in comparison with the finite difference method.]

Published: Aug 30, 2020

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