Results 91 to 100 of about 15,098,358 (286)

The Mixed Finite Element Multigrid Preconditioned MINRES Method for Stokes Equations

Journal of Applied Fluid Mechanics, 2016
The study considers the saddle point problem arising from the mixed finite element discretization of the steady state Stokes equations. The saddle point problem is an indefinite system of linear equations, a feature that degrades the performance of any
Kizito Muzhinji, Stanford Shateyi, Sandile Motsa   +2 more
doaj  

Finite Element Assembly

, 2012
The finite element method may be viewed as a method for forming a discrete linear system 4064 AU = b or nonlinear system b(U) = 0 corresponding to the discretization of the variational form of a 4065 differential equation.A central part of the ...
Mardal, Kent-Andre, Wells, Garth N., Logg, Anders,, Logg, Anders, Anders Logg, Kent-Andre Mardal, Garth N. Wells   +6 more
core   +1 more source

Nanoconfinement‐Induced Second‐Harmonic Circular Dichroism via Chirality–Ferroelectric Coupling

Advanced Functional Materials, EarlyView.
Nanoconfinement of a ferroelectric nematic liquid crystal within a chiral nanoporous sponge yields an enhanced second‐harmonic generation circular dichroism (|gSHG–CD| ≈ 1.1). Polarization‐resolved analysis suggests an additional magnetic‐dipole‐associated nonlinear contribution under nanoconfinement, highlighting chirality–ferroelectric coupling as a ...
Jae‐Jin Lee, Hiroya Nishikawa, Tae‐Woong Moon, Dong‐Ha Kim, Fumito Araoka, Suk‐Won Choi   +5 more
wiley   +1 more source

Computer algebra and transputers applied to the finite element method [PDF]

, 1992
Recent developments in computing technology have opened new prospects for computationally intensive numerical methods such as the finite element method.
Barbier, Christine, Barbier, C
core  

Mixed finite element method for device simulations [PDF]

This paper presents a new numerical approach for simulating semiconductor devices using the Mixed Finite Element Method (Mixed FEM). Compared to the standard finite element method, Mixed FEM enables a more accurate treatment of material discontinuities ...
Georgiev, Vihar, Williams, Ross, Gao, Yingjia, Shvarts, Andrei, Kumar, Naveen, Kaczmarczyk, Lukasz   +5 more
core   +1 more source

Microscale Patterning of Ultrahigh‐Viscosity Metallic‐Polymer Composites via Embedded Droplet Writing

Advanced Functional Materials, EarlyView.
A hybrid additive manufacturing platform integrates direct droplet writing of metallic composite with VAT photopolymerization to fabricate architected soft magnetic composites. This approach enables microscale patterning of high‐viscosity materials for programmable actuators, adaptive fluidic devices, and switchable adhesives, offering tunable ...
Yeowon Yoon, Jian Ni, Sungmo Park, Yang Xu, Yong Chen   +4 more
wiley   +1 more source

A Mixed Finite Element Method for Stationary Magneto-Heat Coupling System with Variable Coefficients. [PDF]

Entropy (Basel), 2022
Ding Q, Long X, Mao S.
europepmc   +1 more source

Mixed Finite Element Methods for Linear Cosserat Equations

SIAM Journal on Numerical Analysis
Abstract. We consider the equilibrium equations for a linearized Cosserat material and provide two perspectives concerning well-posedness. First, the system can be viewed as the Hodge–Laplace problem on a differential complex. On the other hand, we show how the Cosserat materials can be analyzed by inheriting results from linearized ...
Boon, W. M., Duran, O., Nordbotten, J. M.   +2 more
openaire   +5 more sources

An Integrated Oxygen‐Supplying Device and Predictive Multiphysics Model for Extended Ambient Transport of Insulin‐Producing Cells

Advanced Functional Materials, EarlyView.
Cell therapies typically rely on cold‐chain logistics and cryopreservation, limiting access and compromising cell quality. Here, a dual‐chamber device separates an oxygen‐supplying chamber from a hyaluronic acid cargo chamber, sustaining oxygen delivery for over 70 h and enabling ambient‐temperature shipment.
Daniel A. Domingo‐Lopez, Ruth Tarpey, Benjamin Brennan, Bryan D. Boyle, Amir M. Alsharabasy, Abhik Mallick, Gabriella Bellavia, Abhay Pandit, Garry P. Duffy, Ruth E. Levey   +9 more
wiley   +1 more source

A Mixed Finite Element Method for the Multi-Term Time-Fractional Reaction–Diffusion Equations

Fractal and Fractional
In this work, a fully discrete mixed finite element (MFE) scheme is designed to solve the multi-term time-fractional reaction–diffusion equations with variable coefficients by using the well-known L1 formula and the Raviart–Thomas MFE space.
Jie Zhao, Shubin Dong, Zhichao Fang
doaj   +1 more source