Results 71 to 80 of about 58,777 (284)
Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations [PDF]
AbstractIn this paper we use the Generalized Multiscale Finite Element Method (GMsFEM) framework, introduced in [26], in order to solve nonlinear elliptic equations with high-contrast coefficients. The proposed solution method involves linearizing the equation so that coarse-grid quantities of previous solution iterates can be regarded as auxiliary ...
Efendiev, Yalchin R. +3 more
openaire +3 more sources
Bio‐Inspired Molecular Events in Poly(Ionic Liquids)
Originating from dipolar and polar inter‐ and intra‐chain interactions of the building blocks, the topologies and morphologies of poly(ionic liquids) (PIL) govern their nano‐ and micro‐processibility. Modulating the interactions of cation‐anion pairs with aliphatic dipolar components enables the tunability of properties, facilitated by “bottom‐up ...
Jiahui Liu, Marek W. Urban
wiley +1 more source
Triply periodic minimal surface (TPMS) multiscale structures are meta-structures known for their low-weight-high-strength property. Because of their delicate geometry and sheet-networks feature, a fine mesh is required for finite element analysis, which ...
Yan-Zhen Chen +5 more
doaj +1 more source
Numerical Simulation of a Hybrid Nanocomposite Containing Ca-CO3 and Short Glass Fibers Subjected to Tensile Loading [PDF]
The tensile properties of multiscale, hybrid, thermoplastic-based nanocomposites reinforced with nano-CaCO3 particles and micro–short glass fibers (SGF) were predicted by a two-step, three-dimensionalmodel using ANSYS finite element (FE) software ...
Minoo Dokht Shokrian +2 more
doaj +1 more source
A generalized finite element method for linear thermoelasticity [PDF]
We propose and analyze a generalized finite element method designed for linear quasistatic thermoelastic systems with spatial multiscale coefficients.
Målqvist, Axel, Persson, Anna
core +2 more sources
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco +7 more
wiley +1 more source
A molecular dynamics/extended finite element method for dynamic crack propagation
A multiscale method is presented which couples a molecular dynamics approach for describing fracture at the crack tip with an extended finite element method for discretizing the remainder of the domain.
Pascal Aubertin +2 more
doaj +1 more source
Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation [PDF]
We continue the study of the nonconforming multiscale finite element method (Ms- FEM) introduced in 17, 14 for second order elliptic equations with highly oscillatory coefficients.
Hou, Thomas Y., Wu, Xiao-Hui, Zhang, Yu
core
Lithium‐ion batteries (LIBs) remain central to energy storage but suffer from slow ion transport and degradation. Here, we present a binder‐free Ti3C2Tx MXene/GnR hybrid electrode with a porous 3D architecture formed via freeze casting. The structure enhances conductivity, ion transport, and stability, delivering 401 mAh/g, ∼97% efficiency, and 92 ...
Sara Mohseni Taromsari +10 more
wiley +1 more source
We propose a fully discrete method for the multiscale Richards’ equation of van Genuchten-Mualem model which describes the flow transport in unsaturated heterogenous porous media.
Haitao Cao, Tao Yu, Xingye Yue
doaj +1 more source

