Results 81 to 90 of about 4,516 (262)

Finite Element Analysis for Li Batteries at the Mesoscale

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
Finite element analysis (FEA), through multi‐physics coupling, has been widely employed to calculate mesoscale structures in LIBs that exhibit inherent randomness and disorder (Figure a). It has been extensively applied to the investigation of critical phenomena such as Li dendrite evolution, Li+ concentration gradients, SEI film growth, particle ...
Guanwu Li, Bo Gao, Dong Wang, Weitao Zheng   +3 more
wiley   +1 more source

Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition

Electronic Journal of Qualitative Theory of Differential Equations, 2013
The authors consider a nonlinear fractional boundary value problem with the Dirichlet boundary condition. An associated Green's function is constructed as a series of functions by applying spectral theory.
John Graef, Lingju Kong, Qingkai Kong, Min Wang   +3 more
doaj   +1 more source

Quantum properties of non-Dirichlet boundary conditions in gravity

Physical Review D
The Euclidean path integral for gravity is enriched by the addition of boundaries, which provide useful probes of thermodynamic properties. Common boundary conditions include Dirichlet conditions on the boundary induced metric; microcanonical conditions, which refers to fixing some components of the Brown-York boundary stress tensor; and conformal ...
Patrick Draper, Manthos Karydas, Hao Zhang   +2 more
openaire   +2 more sources

Numerical Investigation of Methane Transport Within and Around Evolving Cracks

Energy Science &Engineering, EarlyView.
A validated model shows that natural gas leakage induces soil deformation and forms three key cracks. When diffusion is low, methane moves mainly along the primary crack, demonstrating how natural fractures reshape pathways and significantly enhance methane migration.
Le Wang, Xinxiong Lv, Yu Ding, Qichang Ni   +3 more
wiley   +1 more source

Multiphysics Coupled Response of Stress and Seepage in Coal Under Borehole Disturbance and Optimization of Borehole Parameters

Energy Science &Engineering, EarlyView.
One‐way FLAC3D‐COMSOL coupled modeling and field validation show that a 150 mm borehole radius with 5 m spacing provides the best coordination of plastic‐zone expansion, stress relief, permeability enhancement, and gas‐pressure attenuation, increasing the pure gas drainage rate by 35.4%. ABSTRACT To rationally determine the borehole radius and borehole
Yewu Bi, Yichen Li, Yangyang Guo, Yikai Zhang, Jiazhi Sun, Kangnan Li, Yongpeng Fan, Qixian Li   +7 more
wiley   +1 more source

Boundary monotonicity formulae and applications to free boundary problems I: The elliptic case

Electronic Journal of Differential Equations, 2004
We derive a monotonicity formula at boundary points for a class of nonlinear elliptic partial differential equations, including the obstacle problem case, quenching, a free boundary problem with Bernoulli-type free boundary condition as well as the blow ...
Georg S. Weiss
doaj  

Reflective Pathways: Integrating Empathy Into the STEM Student Experiences

Future in Educational Research, EarlyView.
ABSTRACT The growing demand for a globally competent STEM workforce showcases the importance of embedding empathy into undergraduate education. As a core dimension of global competence, empathy enables individuals to engage diverse perspectives and navigate collaborative challenges.
Aparajita Jaiswal, Nathan S. Bitner, Gaurav Nanda, Muna Sapkota   +3 more
wiley   +1 more source

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, EarlyView.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

Subspace Acceleration for Efficient Nonlinear Water Wave Simulation

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen, Margherita Guido, Allan Peter Engsig‐Karup, Daniel Kressner   +3 more
wiley   +1 more source

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source