Now showing items 829-847 of 847

• #### The value of continuity: Refined isogeometric analysis and fast direct solvers ﻿

(Computer Methods in Applied Mechanics and Engineering, 2016-09-23)
We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) ...
• #### Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds ﻿

(2018)
The sharp Wolff-type decoupling estimates of Bourgain--Demeter are extended to the variable coefficient setting. These results are applied to obtain new sharp local smoothing estimates for wave equations on compact Riemannian ...
• #### Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities ﻿

(Nonlinear Analysis, 2018-02-15)
We prove global Calder\'on-Zygmund type estimate in Lorentz spaces for variable power of the gradients to weak solution of nonlinear elliptic equations in a non-smooth domain. We mainly assume that the nonlinearities are ...
• #### Variational multiscale stabilization for compressible flow ﻿

(Computer Methods in Applied Mechanics and Engineering, 2018)
This paper presents a variational multiscale stabilization for the finite element numerical solution of the Euler and Navier-Stokes equations of compressible flow. All the components of the dual operator are considered in ...
• #### Velocity and energy distributions in microcanonical ensembles of hard spheres ﻿

(Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2015-12-31)
In a microcanonical ensemble (constant NVE, hard reflecting walls) and in a molecular dynamics ensemble (constant NVEPG, periodic boundary conditions) with a number N of smooth elastic hard spheres in a d-dimensional volume ...
• #### Vortex filament equation for a regular polygon ﻿

(Nonlinearity, 2014-12-31)
In this paper, we study the evolution of the vortex filament equation,$$X_t = X_s \wedge X_{ss},$$with $X(s, 0)$ being a regular planar polygon. Using algebraic techniques, supported by full numerical simulations, we give ...
• #### Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators ﻿

(Proceedings of the American Mathematical Society, 2017-07)