Homogenization Method Based on Cauer Circuit via Unit Cell Approach

Analysis and optimization of heterogeneous materials using the variational asymptotic method for unit cell homogenization

The variational asymptotic method for unit cell homogenization is used to find the sensitivity of the effective properties of periodically heterogeneous materials, within a periodic base-cell. The sensitivities are found by the direct differentiation of the variational asymptotic method for unit cell homogenization (VAMUCH) and by the method of adjoint variables. This sensitivity theory is impl...

One Method for Via Equivalent Circuit Extraction Based on Structural Segmentation

As the signal frequency increases, the accurate and fast modeling for vias structure in multi-layer substrate is very important to performance analysis of high speed circuit. According to the skin effect and RL ladder circuit model, the equivalent circuit of via base on structural segmentation is presented in this paper. Vias structure is decomposed into some segmented sub-structure based on th...

Stabilization via homogenization

In this short note we treat a 1+1-dimensional system of changing type. On different spatial domains the system is of hyperbolic and elliptic type, that is, formally, ∂2 t un − ∂2 xun = ∂tf and un−∂ xun = f on the respective spatial domains ⋃ j∈{1,...,n} ( j−1 n , 2j−1 2n ) and ⋃ j∈{1,...,n} (2j−1 2n , j n ) . We show that (un)n converges weakly to u, which solves the exponentially stable limit ...

On Wavelet-Based Numerical Homogenization

Recently, a wavelet-based method was introduced for the systematic derivation of subgrid scale models in the numerical solution of partial differential equations. Starting from a discretization of the multiscale differential operator, the discrete operator is represented in a wavelet space and projected onto a coarser subspace. The coarse (homogenized) operator is then replaced by a sparse appr...

Numerical Homogenization on Approach for Stokesian Suspensions