Abstract This paper studies fully discrete finite element approximations to the Navier–Stokes equations using inf-sup stable elements and grad-div stabilization. For time integration, two implicit–explicit second-order backward differentiation formulae (BDF2) schemes are applied. In both, Laplacian is implicit while nonlinear term explicit, in first one, semiimplicit, second one. The stabilizat...

Diffuse Lewy body disease is an important pathological substrate of the common syndrome of parkinsonian dementia. The new technique of anti-ubiquitin immunocytochemistry has been used in a correlative quantitative neuropathological study of fifteen cases of diffuse Lewy body disease, showing that the severity of dementia is related to cortical Lewy body density, whilst subcortical abnormalities...

A nonlinear multigrid solver for two-phase flow and transport in a mixed fractional-flow velocity-pressure-saturation formulation is proposed. The solver, which under the framework of full approximation scheme (FAS), extends our previous work on heterogeneous diffusion problems. coarse spaces hierarchy are constructed by first aggregating degrees freedom, then solving some local choice allow us...

Dyadic translations of the interpolating scaling function generate a basis that can be used to approximate functions and develop a multiresolution methodology for constructing smooth surfaces or curves. Many wavelet methods for solving partial differential equations are also derived from the interpolating scaling function. However, little is done for developing a higher order numerical discreti...

Different solution techniques, computational aspects and the ways to improve the performance of 3D frequency dependent Crank Nicolson finite difference time domain (FD-CN-FDTD) method are extensively studied here. FD-CN-FDTD is an implicit unconditionally stable method allowing time discretization beyond the Courant-Friedrichs-Lewy (CFL) limit. For the solution of the method both direct and ite...

MOD_FreeSurf2D is an open source MATLAB code that simulates fluid velocities and depths in rivers and streams. Although this model was designed for a specific purpose, MOD_FreeSurf2D can be employed in general scenarios when the depth-averaged, shallow water equations apply. The model approximates the depth-averaged, shallow water equations with a finite volume, semi-implicit, semi-Lagrangian r...

its differentiation from Alzheimer’s disease, is important for optimum management, including provision of appropriate information to patients and carers, initiation of effective treatments and avoidance of potentially life-threatening antipsychotic drugs. Consensus clinical diagnostic criteria have high specificity for diagnosis of probable dementia with Lewy bodies but poor sensitivity; data f...

The lumped network alternating direction implicit finite difference time domain (LN-ADI-FDTD) technique is proposed as an extension of the conventional ADI-FDTD method in this paper, which allows the lumped networks to be inserted into some ADI-FDTD cells. Based on the piecewise linear recursive convolution (PLRC) technique, the current expression of the loaded place can be obtained. Then, subs...

Diffuse Lewy body disease (DLBD) has been studied from various viewpoints and, although clinical diagnostic criteria for DLBD have been proposed, diagnosis remains difficult. DLBD has been reported to be the second most common form of dementia in the aged, following Alzheimer-type dementia. It has, however, been clinically under-diagnosed. Therefore, the search for diagnostic markers for DLBD m...