Results 31 to 40 of about 2,292 (165)

The nonconforming virtual element method for eigenvalue problems

, 2018
We analyse the nonconforming Virtual Element Method (VEM) for the approximation of elliptic eigenvalue problems. The nonconforming VEM allow to treat in the same formulation the two- and three-dimensional case.We present two possible formulations of the ...
Gardini, Francesca, Manzini, Gianmarco, Vacca, Giuseppe   +2 more
core   +1 more source

Discrete Lie Advection of Differential Forms [PDF]

, 2010
In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms. Leveraging advances in high-resolution finite volume methods for scalar hyperbolic conservation laws, we first discretize the interior product ...
A. Mckenzie, A. Mckenzie, D. Pavlov, D. Pavlov, E. Kanso, E. Kanso, J. E. Marsden, J. E. Marsden, L. Durant, L. Durant, M. Desbrun, M. Desbrun, P. Mullen, P. Mullen, Y. Tong, Y. Tong   +15 more
core   +4 more sources

A finite element framework for some mimetic finite difference discretizations

Computers & Mathematics with Applications, 2015
submitted
Rodrigo, Carmen, Gaspar, F. J., Hu, X., Zikatanov, L.   +3 more
openaire   +3 more sources

Active Learning‐Accelerated Discovery of Fibrous Hydrogels with Tissue‐Mimetic Viscoelasticity

Advanced Functional Materials, EarlyView.
Active learning accelerates the design of fibrous hydrogels that mimic the viscoelasticity of native tissues. By integrating multi‐objective optimization and closed‐loop experimentation, this approach efficiently identifies optimal formulations from thousands of possibilities and decouples elasticity and viscosity. The resulting hydrogels offer tunable
Zhengkun Chen, Zheyuan Miao, Gary Tom, Austin H. Cheng, Elizaveta Gusarova, Benjamen Zondag, Tianyi Wu, Dianoosh Kalhori, Boris Hinz, Milad Abolhasani, Alán Aspuru‐Guzik, Eugenia Kumacheva   +11 more
wiley   +1 more source

Mimetic Finite Difference methods for Hamiltonian wave equations in 2D

, 2016
In this paper we consider the numerical solution of the Hamiltonian wave equation in two spatial dimension. We use the Mimetic Finite Difference (MFD) method to approximate the continuous problem combined with a symplectic integration in time to ...
da Veiga, Lourenco Beirao, Lopez, Luciano, Vacca, Giuseppe   +2 more
core   +1 more source

Respiratory Organ‐on‐a‐Chip for Disease Modeling: From Architecture to Functional Integration

Advanced Healthcare Materials, EarlyView.
Respiratory organ‐on‐a‐chip (ROC) models capture key mechanical and cellular cues of the human respiratory system, enabling quantitative dissection of disease mechanisms. This review links ROC architectures to disease modeling, functional integration, and commercialization, and proposes a decision framework that aligns model complexity with mechanistic
Jinzhuo Hu, Yongjie Tang, Sidi Liu, Tao Xu, Qian Liu   +4 more
wiley   +1 more source

Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]

, 2010
In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold, Barber, Boyd, Braess, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Burman, Chadwick, Christie, Ciarlet, Ciarlet, Droniou, Eigestad, Fraenkel, Gilbarg, Herrera, Hughes, Hughes, Hyman, Höhn, Karnadakis, Karátson, Karátson, Keilegavlen, Korotov, Kuzmin, Kuznetsov, Ladyzhenskaya, Le Potier, Lipnikov, Lipnikov, Lipnikov, Liska, Luenberger, Masud, McOwen, Mlacnik, Morton, Nakshatrala, Nakshatrala, Nedelec, Nedelec, Nocedal, Nordbotten, Patankar, Protter, Pucci, Quarteroni, Raviart, Saad, Shashkov, Shewchuk, Strikwerda, Tikhonov, Trudinger, Vanselow, Varga, Varga, Vejchodsky, Yanik, Yanik, Yuan   +65 more
core   +1 more source

Freeform Manufacturing of Plant‐Based Structural Colors for Scalable Photonic and Mechanochromic Devices

Advanced Materials, EarlyView.
A green, freeform manufacturing approach that utilizes robust aqueous two‐phase systems to create intricate and scalable photonic structures and non‐planar mechanochromic hydrogel actuators from plant‐based hydroxypropyl cellulose. This approach broadens the structural possibilities of sustainable photonic devices and mechanochromic systems, offering ...
Xiao Song, Peiqi Niu, Wenxi Gu, Chun Lam Clement Chan, Jiuhong Yi, Xu Liu, Peng Tan, Chon In Haydn Cheong, Qingwen Guan, Dan Fang, Bingpu Zhou, Zi Liang Wu, Ji Liu, Yan Yan Shery Huang, Iek Man Lei   +14 more
wiley   +1 more source

A Stress/Displacement Virtual Element Method for Plane Elasticity Problems

, 2017
The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger-Reissner variational formulation. A low-order Virtual Element Method (VEM) with a-priori symmetric
Artioli, E., de Miranda, S., Lovadina, C., Patruno, L.   +3 more
core   +1 more source

Exploring the Potential of Zero‐Dimensional Carbon Nanomaterials in Photoluminescent, Electrochemiluminescent and Electrochemical Sensors

Advanced Materials Interfaces, EarlyView.
Zero‐dimensional carbon nanomaterials are presented as multifunctional platforms linking structure, property, and sensing performance. Surface engineering and heteroatom doping modulate electron‐transfer and luminescent behavior, enabling electrochemical, photoluminescent, and electrochemiluminescent detection. Fundamental design principles, analytical
Gustavo Martins, Jeferson Luiz Gogola, Ava Gevaerd, Cristiane Kalinke, Paulo Roberto de Oliveira, Fabio Roberto Caetano, Bruno Campos Janegitz, Márcio Fernando Bergamini, Luiz Humberto Marcolino‐Junior   +8 more
wiley   +1 more source