Results 71 to 80 of about 401,417 (282)

A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology

, 2018
We present a Virtual Element Method (VEM) for a nonlocal reaction-diffusion system of the cardiac electric field. To this system, we analyze an $H^1(\Omega)$-conforming discretization by means of VEM which can make use of general polygonal meshes.
Anaya, Verónica, Bendahmane, Mostafa, Mora, David, Sepúlveda, Mauricio   +3 more
core   +3 more sources

A priori error estimate of a multiscale finite element method for transport modeling [PDF]

SeMA Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ouaki, Franck, Allaire, Grégoire, Desroziers, Sylvain, Enchéry, Guillaume   +3 more
openaire   +3 more sources

Contact Lens with Moiré Patterns for High‐Precision Eye Tracking

Advanced Functional Materials, EarlyView.
This work presents a passive contact lens for high‐precision eye tracking, integrating a microscopic moiré grating label. The parallax‐induced shift of macroscopic moiré patterns enables angle measurement with 0.28° precision using a standard camera under ambient light.
Ilia M. Fradkin, Roman V. Kirtaev, Mikhail S. Mironov, Dmitriy V. Grudinin, Alexander A. Marchenko, Marina M. Chugunova, Valentin R. Solovei, Alexander V. Syuy, Andrey A. Vyshnevyy, Ilya P. Radko, Aleksey V. Arsenin, Valentyn S. Volkov   +11 more
wiley   +1 more source

Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems

Networks and Heterogeneous Media
This paper focused on approximating a second-order nonlinear hyperbolic optimal control problem. By introducing a new variable, the hyperbolic equation was converted into two parabolic equations.
Huanhuan Li, Meiling Ding, Xianbing Luo, Shuwen Xiang   +3 more
doaj   +1 more source

A Priori Error Estimates and Computational Studies for a Fermi Pencil-Beam Equation [PDF]

Journal of Computational and Theoretical Transport, 2018
26 ...
Asadzadeh, M., Beilina, L., Naseer, M., Standar, C.   +3 more
openaire   +2 more sources

Ascorbic Acid Modulates Collagen Properties in Glucocorticoid‐Induced Osteoporotic Bone: Insights into Chemical, Mechanical, and Biological Regulation

Advanced Healthcare Materials, EarlyView.
Osteoporosis from long‐term glucocorticoid (GIOP) use elevates susceptibility to fracture. This study shows GCs impair ascorbic acid (AA) metabolism in osteoblasts, collagen synthesis and extracellular matrix integrity. AA enhanced collagen biochemical and mechanical properties and restored osteoblast and endothelial function. These findings underscore
Micaila DE Curtis, Yoontae Kim, Rahul Patil, Xinran Zhang, Meth Jayatilake, Orelle Bulgin, Peter Lialios, Sana Surrency, Soraya Tarrah, Argyris K. Lazaris, Alison Grafton, James Williams IV, Seyedeh Boshra Nouraie, Maria Bizaki, Penelope Xeron, Edward Van Keuren, Jonathan E. Seppala, Evagelia C. Laiakis, Joanna B. Kitlinska, Stella Alimperti   +19 more
wiley   +1 more source

Regularization of the fractional Rayleigh–Stokes equation using a fractional Landweber method

Advances in Difference Equations, 2020
In this paper, we consider a time-fractional backward problem for the fractional Rayleigh–Stokes equation in a general bounded domain. We propose a fractional Landweber regularization method for solving this problem.
Nguyen Hoang Luc, Le Nhat Huynh, Donal O’Regan, Nguyen Huu Can   +3 more
doaj   +1 more source

Finite element approximation of the $p(\cdot)$-Laplacian

, 2014
We study a~priori estimates for the Dirichlet problem of the $p(\cdot)$-Laplacian, \[-\mathrm{div}(|\nabla v|^{p(\cdot)-2} \nabla v) = f. \] We show that the gradients of the finite element approximation with zero boundary data converges with rate $O(h ...
Barrett J. W., Clément P., Cruz-Uribe D., Diening L., Diening L., Dominic Breit, Ebmeyer C., Ebmeyer C., Lars Diening, Orlicz W., Røcircužička M., Sebastian Schwarzacher, Zhikov V. V.   +12 more
core   +1 more source

A Synovium‐on‐Chip Platform to Study Multicellular Interactions in Arthritis

Advanced Healthcare Materials, EarlyView.
The Synovium‐on‐Chip comprises a thin microporous PDMS membrane to support co‐culture of fibroblast‐like synoviocytes (FLS), THP‐1‐derived macrophages, and endothelial cells, enabling real‐time analysis of synovial‐vascular interactions. FLS migration through the pores drives endothelial remodeling, while TNF‐α stimulation induces robust inflammatory ...
Laurens R. Spoelstra, Fleur R. Semmekrot, Nuno Araújo‐Gomes, Daniël Wijnperle, Monique M. A. Helsen, Martijn H.J. Van Den Bosch, Loes. I. Segerink, Séverine Le Gac, Marcel Karperien   +8 more
wiley   +1 more source

A Priori Error Estimates of Mixed Finite Element Methods for General Linear Hyperbolic Convex Optimal Control Problems

Abstract and Applied Analysis, 2014
The aim of this work is to investigate the discretization of general linear hyperbolic convex optimal control problems by using the mixed finite element methods.
Zuliang Lu, Xiao Huang
doaj   +1 more source