45 citations · 111 across the 4 of their papers we have counts for
4 papers
A New Approach for Solving Singular Systems in Topology Optimization Using Krylov Subspace Methods
Teruyoshi Washizawa, Akira Asai, Nobuhiro Yoshikawa
In topology optimization, the design parameter with no contribution to the objective function vanishes. This causes the stiffness matrix to become singular. We show that a local op…
Discrete Nonlinear Schrodinger Equations Free of the Peierls-Nabarro Potential
S. V. Dmitriev, P. G. Kevrekidis, A. A. Sukhorukov +2
We derive a class of discrete nonlinear Schr{ö}dinger (DNLS) equations for general polynomial nonlinearity whose stationary solutions can be found from a reduced two-point algebrai…
Standard Nearest Neighbor Discretizations of Klein-Gordon Models Cannot Preserve Both Energy and Linear Momentum
S. V. Dmitriev, P. G. Kevrekidis, N. Yoshikawa
We consider nonlinear Klein-Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbors) may preserve either standardly defined linear m…
Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential
S. V. Dmitriev, P. G. Kevrekidis, N. Yoshikawa
For the nonlinear Klein-Gordon type models, we describe a general method of discretization in which the static kink can be placed anywhere with respect to the lattice. These discre…