We propose a mixed finite volume finite element numerical method for solving the full Navier-Stokes-Fourier system describing the motion of a compressible, viscous, and heat conducting fluid. The physical domain occupied by the fluid has smooth boundary and it is approximated by a family of polyhedral numerical domains. Convergence and stability of the numerical scheme is studied. The numerical...

The aim of this research was to develop an anatomically accurate and numerically feasible and stable finite element digital human hand model, which would allow accurate bio-mechanical behavior during movement and grasping. Therefore, correct anatomical geometry of the hand has been defined based on CT images, which has been then used for the definition of the finite element model. Using the fin...

We investigate a finite element approximation of an initial boundary value problem associated with parabolic Partial Differential Equations endowed with mixed time varying boundary conditions, switching from essential to natural and viceversa. The switching occurs both in time and in different portions of the boundary. For this problem, we apply and extend the Nitsche’s method presented in [Jun...

A spectral-element method for solving the scattering problem of timeharmonic sound waves in a homogeneous compressible fluid by an obstacle is developed in this paper. The method is based on a boundary perturbation technique coupled with an efficient spectral-element solver. Ample numerical results are presented to show the accuracy and stability of the method.

Assessing the strength of soil slopes and investigating the means for increasing their safety against failure are crucial in construction projects involving large soil masses. Slope stability analyses have traditionally been performed using a limit state approach. However, any presence of reinforcement or local heterogeneity necessitates the use of numerical techniques such as finite element an...

A simple and rapid stability indicating method based on capillary zone electrophoresis has been developed and validated for the analysis of buserelin (BUS). The best separations were achieved by using a bare fused silica capillary (75 m i.d.; 65.5 cm total, 57.0 cm effective length), phosphate buffer (pH = 3.00; 26.4 mM), at 35 °C. The sample was hydrodynamically injected at 50 mbar for 5 seco...

In this paper, we study the time–space fractional order (fractional for simplicity) nonlinear subdiffusion and superdiffusion equations, which can relate the matter flux vector to concentration gradient in the general sense, describing, for example, the phenomena of anomalous diffusion, fractional Brownian motion, and so on. The semi-discrete and fully discrete numerical approximations are both...

In this paper, we address an inverse problem of reconstruction of the initial temperature in a heat conductive system when some measurement data of temperature are available, which may be observed in a subregion inside or on the boundary of the physical domain, along a time period which may start at some point, possibly far away from the initial time. A conditional stability estimate is first a...