We recently derived the unified continuum and variational multiscale formulation for fluid-structure interaction (FSI) using Gibbs free energy. Restricting our attention to vascular FSI, we now reduce this arbitrary Lagrangian-Eulerian (ALE) by adopting three assumptions wall. The resulting reduced achieves monolithic FSI coupling in Eulerian frame through a simple modification of fluid boundar...

Splitting-based time integration approaches such as fractional steps, alternating direction implicit, operator splitting, and locally one-dimensional methods partition the system of interest into components solve individual implicitly in a cost-effective way. This work proposes unified formulation splitting schemes framework general-structure additive Runge-Kutta (GARK) methods. Specifically, w...

This paper focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality LMI form. Based on Lyapunov stability theory and linear matrix inequality LMI formulation, a simple linear feedback co...

We devise a framework which leads to the formulation of a unified theory of normality (regularity), semi-normality (semi-regularity), s-normality (s-regularity), feeblynormality (feebly-regularity), pre-normality (pre-regularity), and others. Certain aspects of theory are given by unified proof.

In this paper, we propose a unified approach for the realization of forward and inverse discrete cosine transforms. By making use of this approach, one can realize an odd prime length DCT/ IDCT with two half-length convolutions without extra overheads in terms of the number of multiplications. This formulation is most suitable for the realization using the distributed arithmetic. In such a case...