Companion-based multi-level finite element method for computing multiple solutions of nonlinear differential equations [0.03%]
基于伴随的多水平有限元方法求解非线性微分方程多解问题
Wenrui Hao,Sun Lee,Young Ju Lee
Wenrui Hao
The utilization of nonlinear differential equations has resulted in remarkable progress across various scientific domains, including physics, biology, ecology, and quantum mechanics. Nonetheless, obtaining multiple solutions for nonlinear d...
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces [0.03%]
带Lipschitz连续边或面的曲线多胞形网格上二阶问题的弱Galerkin有限元方法
Qingguang Guan,Gillian Queisser,Wenju Zhao
Qingguang Guan
In this paper, we propose new basis functions defined on curved sides or faces of curvilinear elements (polygons or polyhedrons with curved sides or faces) for the weak Galerkin finite element method. Those basis functions are constructed b...
Effect of constitutive law on the erythrocyte membrane response to large strains [0.03%]
本构定律对红细胞膜大应变反应的影响
Marianna Pepona,John Gounley,Amanda Randles
Marianna Pepona
Three constitutive laws, that is the Skalak, neo-Hookean and Yeoh laws, commonly employed for describing the erythrocyte membrane mechanics are theoretically analyzed and numerically investigated to assess their accuracy for capturing eryth...
Feng Wang,Mingchao Cai,Gang Wang et al.
Feng Wang et al.
In this paper, we shall present a weak virtual element method for the standard three field poroelasticity problem on polytopal meshes. The flux velocity and pressure are approximated by the low order H(div) virtual element and the piecewise...
Harmonic Solutions of a Mixed Boundary Problem Arising in the Modeling of Macromolecular Transport into Vessel Walls [0.03%]
关于生物大分子输运到血管壁的一个混合边值问题的调和解
Igor Balsim,Mathew A Neimark,David Rumschitzki
Igor Balsim
The earliest events leading to atherosclerosis involve the transport of low density lipooprotein (LDL) cholesterol from the blood across endothelial cells that line the artery wall. Laplace's equation describes the steady state diffusion pr...
A stochastic collocation approach for parabolic PDEs with random domain deformations [0.03%]
具随机区域变形的抛物型偏微分方程的随机插值方法研究
Julio E Castrillón-Candás,Jie Xu
Julio E Castrillón-Candás
In this article we analyze the linear parabolic partial differential equation with a stochastic domain deformation. In particular, we concentrate on the problem of numerically approximating the statistical moments of a given Quantity of Int...
Jungeun Kim,Hee-Dae Kwon,Jeehyun Lee
Jungeun Kim
The efficient time schedule and prioritization of vaccine supplies are important in mitigating impact of an influenza pandemic. In practice, there are restrictions associated with limited vaccination coverage and the maximum daily vaccine a...
Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid-thin structure interaction analysis, with application to heart valve modeling [0.03%]
基于投影的界面拉格朗日乘子稳定化在浸入几何流体-薄结构相互作用分析中的应用及心脏瓣膜建模
David Kamensky,John A Evans,Ming-Chen Hsu et al.
David Kamensky et al.
This paper discusses a method of stabilizing Lagrange multiplier fields used to couple thin immersed shell structures and surrounding fluids. The method retains essential conservation properties by stabilizing only the portion of the constr...
Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator [0.03%]
铁磁多层膜中的自旋极化输运现象：一个无条件收敛的FEM积分器
Claas Abert,Gino Hrkac,Marcus Page et al.
Claas Abert et al.
We propose and analyze a decoupled time-marching scheme for the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation for the spin accumulation. This model describes the interplay of magnetization and electr...
Jörg Peters
Jörg Peters
The discontinuous Galerkin (dG) method outputs a sequence of polynomial pieces. Post-processing the sequence by Smoothness-Increasing Accuracy-Conserving (SIAC) convolution not only increases the smoothness of the sequence but can also impr...