Introduction to the network approximation method for materials modeling / Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov [E-Book]
"In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety...
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Full text |
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Personal Name(s): | Berlyand, Leonid |
Kolpakov, A. G. / Novikov, A. | |
Imprint: |
Cambridge :
Cambridge University Press,
2013
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Physical Description: |
xiv, 243 pages : illustrations |
Note: |
englisch |
Series Title: |
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Encyclopedia of mathematics and its applications
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Subject (LOC): |
- Machine generated contents note: Preface; 1. Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials; 2. Background and motivation for introduction of network models; 3. Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions; 4. Numerics for percolation and polydispersity via network models; 5. The network approximation theorem for an infinite number of bodies; 6. Network method for nonlinear composites; 7. Network approximation for potentials of disks; 8. Application of complex variables method; Bibliography; Index.