Mixed convection in closed cavities are important for various processing industries
especially those associated with conservation of energy. Finite element based simulations …

Heatline concept has been used in order to estimate thermal performance of various energy
related systems. Heatlines and streamlines are found to be adequate to visualize and …

The problems that often arise in stochastic dynamics can be investigated using the Fokker–
Planck (FP) equation. The response of a such systems being subjected to additive and/or …

This work presents a variational multiscale method based on polynomial bubble functions as
subgrid scale and a numerical implementation based on two local Gauss integrations. This …

This contribution introduces an adaptively coupled finite element (FE)–molecular dynamics
(MD) model based on the Quasicontinuum (QC) method. The idea for obtaining constitutive …

This article outlines a method for stabilising the current continuity equations which are used
for semiconductor device simulation. Residual-free bubble functions (RfBF) are incorporated …

A multiscale finite element method based on the bubble functions is used to generate stable
and accurate solutions for the diffusion-reaction equation for both dissipation and production …

Complex multiscale systems such as combined free or porous flow regimes and transport
processes governed by combined diffusion, convection and reaction mechanisms, which …

Fourier series multiscale method, a concise and efficient analytical approach for multiscale
computation, will be developed out of this series of papers. In the sixth paper, exact analysis …

In the stability analysis of frame structures, the results by conventional finite element method
(FEM) in which one member is taken as one element are sometimes unavailable. This paper …