A boundary element method for homogenization of periodic structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F20%3A10243364" target="_blank" >RIV/61989100:27240/20:10243364 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/20:10243364
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/full/10.1002/mma.5882" target="_blank" >https://onlinelibrary.wiley.com/doi/full/10.1002/mma.5882</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.5882" target="_blank" >10.1002/mma.5882</a>

Result language
angličtina
Original language name
A boundary element method for homogenization of periodic structures
Original language description
Homogenized coefficients of periodic structures are calculated via an auxiliary partial differential equation in the periodic cell. Typically, a volume finite element discretization is employed for the numerical solution. In this paper, we reformulate the problem as a boundary integral equation using Steklov-Poincaré operators. The resulting boundary element method only discretizes the boundary of the periodic cell and the interface between the materials within the cell. We prove that the homogenized coefficients converge super-linearly with the mesh size, and we support the theory with examples in two and three dimensions. (C) 2019 John Wiley & Sons, Ltd.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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