HOMOGENIZATION OF ELECTRICAL NETWORKS INCLUDING VOLTAGE-TO-VOLTAGE AMPLIFIERS

DOI10.1142/S0218202599000415zbMath0963.35014MaRDI QIDQ4522622

Michel Lenczner, Ghouti Senouci-Bereksi

Publication date: 1 January 2001

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

two-scale convergenceperiodically distributed electrical circuitstwo-scale transformation

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (11)

Computational networks and systems -- homogenization of self-adjoint differential operators in variational form on periodic networks and micro-architectured systems ⋮ Singularly perturbed diffusion-advection-reaction processes on extremely large three-dimensional curvilinear networks with a periodic microstructure -- efficient solution strategies based on homogenization theory ⋮ Bridging the gap between variational homogenization results and two-scale asymptotic averaging techniques on periodic network structures ⋮ Electromagnetic Processes in Doubly-Nonlinear Composites ⋮ A symbolic transformation language and its application to a multiscale method ⋮ Computational networks and systems – homogenization of variational problems on micro-architectured networks and devices ⋮ A two-scale model for an array of AFM's cantilever in the static case ⋮ Homogenization of optimal control problems on curvilinear networks with a periodic microstructure -- results on \(S\)-homogenization and \(\Gamma\)-convergence ⋮ Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs ⋮ Towards a two-scale calculus ⋮ Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits

Cites Work

• The beam-like behavior of space trusses
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• A homogenization result for planar, polygonal networks
• Homogenization and Two-Scale Convergence
• Transfinite Graphs and Electrical Networks
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Vassiliev-type invariants of planar fronts without dangerous self-tangencies

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