Computing non-smooth minimizers with the mesh transformation method

A mesh transformation method for computing microstructures

A numerical method is established to solve the problem of minimizing a nonquasiconvex potential energy. Convergence of the method is proved both in the case on its own and in the case when it is combined with a weak boundary condition. Numerical examples are given to show that the method, especially when applied together with a continuation method and some other numerical techniques, is not onl...

A Numerical Method for Computing Singular Minimizers

Smoothing non-smooth systems with the Moving Average Transformation

We present a novel, systematic procedure for smoothing non-smooth dynamical systems. In particular we introduce the Moving Average Transformation which can be thought of as a change of variables which transforms discontinuous systems into dynamically equivalent continuous systems and continuous but non-differentiable systems into dynamically equivalent differentiable systems. This smoothing giv...

Automatic mesh transformation method for musculoskeletal model

The roadmap [25] states importance of registration of data sets for creation of the Virtual Physiological Human, a model of a human body. It also mentions usage of morphing technique for interpolation of new data. This thesis focuses on the transformations tied with these operations and tries to find an automatic solution which does not need user set up parameters. The deformation filter for su...

triangular decomposition of the admittance matrix, gauss elimination method and the general star-mesh transformation

the star-mesh transformation allows the reduction of nodes in an electrical circuit. the gauss elimination method allows the reduction of unknowns in a system of linear equations . triangular decomposition can be used to find the inverse of a matrix. in this paper the coherence between these methods are discussed. it is shown that the gauss elimination method gives the same formula for star-mes...