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Error Bounds forDiscrete Geometric Approach
Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy
Università di Udine, Via delle Scienze 208, I-33100 Udine, Italy
Computer Modeling in Engineering & Sciences 2010, 59(2), 155-180. https://doi.org/10.3970/cmes.2010.059.155
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Electromagnetic problems spatially discretized by the so called Discrete Geometric Approach are considered, where Discrete Counterparts of Constitutive Relations are discretized within an Energetic Approach. Pairs of oriented dual grids are considered in which the primal grid is composed of (oblique) parallelepipeds, (oblique) triangular prisms and tetrahedra and the dual grid is obtained according to the barycentric subdivision. The focus of the work is the evaluation of the constants bounding the approximation error of the electromagnetic field; the novelty is that such constants will be expressed in terms of the geometrical details of oriented dual grids. A numerical analysis will confirm the theory.Keywords
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APA Style
Codecasa, L., Trevisan, F. (2010). Error bounds fordiscrete geometric approach. Computer Modeling in Engineering & Sciences, 59(2), 155-180. https://doi.org/10.3970/cmes.2010.059.155
Vancouver Style
Codecasa L, Trevisan F. Error bounds fordiscrete geometric approach. Comput Model Eng Sci. 2010;59(2):155-180 https://doi.org/10.3970/cmes.2010.059.155
IEEE Style
L. Codecasa and F. Trevisan, “Error Bounds forDiscrete Geometric Approach,” Comput. Model. Eng. Sci., vol. 59, no. 2, pp. 155-180, 2010. https://doi.org/10.3970/cmes.2010.059.155
Copyright © 2010 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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