Results 51 to 60 of about 11,664 (312)

Homogenization of elastic plate equation∗

Mathematical Modelling and Analysis, 2018
We are interested in general homogenization theory for fourth-order elliptic equation describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. Such theory is well-developed for second-order elliptic problems,
Krešimir Burazin, Jelena Jankov, Marko Vrdoljak   +2 more
doaj   +1 more source

Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]

, 2013
A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
NATALIA KOPTEVA (12353197), Torsten Linssz, Linss, Torsten, Kopteva, Natalia, Natalia Koptevay, Torsten Linss (12583321)   +5 more
core   +1 more source

From Photoalignment to Structured Light: Liquid Crystal Platforms for Beam Shaping and Complex Wavefronts

Advanced Functional Materials, EarlyView.
Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou, Tingjun Zhong, Sijie Liu, Pouya Nosratkhah, Ke Xu, Yuzhen Zhao, Kristiaan Neyts   +6 more
wiley   +1 more source

Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]

, 1983
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core  

Dispersive properties of high order nedelec/edge element approximation of the time-harmonic Maxwell equations [PDF]

, 2004
The dispersive behaviour of high-order Næ#169;dæ#169;lec element approximation of the time harmonic Maxwell equations at a prescribed temporal frequency ω on tensor-product meshes of size h is analysed.
Ainsworth, Mark
core   +1 more source

Some auxiliary estimates for solutions to non-uniformly degenerate second-order elliptic equations

Вестник Самарского университета: Естественнонаучная серия
We consider a class of second order elliptic equations in divergence form with non-uniform exponential degeneracy. The method used is based on the fact that the degeneracy rates of the eigenvalues of the matrix ||aij(x)||(function λi(x)) are not the ...
Sarvan T. Huseynov, Mushfig J. Aliyev
doaj   +1 more source

Integral operator and oscillation of second order elliptic equations

Tamkang Journal of Mathematics, 2005
By using integral operator, some oscillation criteria for second order elliptic differential equation$$ \sum^d _{i,j=1} D_i[A_{ij}(x)D_jy]+ q(x)f(y)=0, \;x \in \Omega\qquad \eqno{(E)} $$are established. The results obtained here can be regarded as the extension of the well-known Kamenev theorem to Eq.$(E)$.
Xu, Zhiting, Xing, Hongyan
openaire   +3 more sources

Microfluidic Nano‐Assembly of Red‐Blood‐Cell (RBC) Lipids and Components for Engineering Extracellular Vesicles

Advanced Healthcare Materials, EarlyView.
Engineered red blood cell‐derived extracellular vesicles (eRBCEVs) are synthesized via controlled microfluidic assembly from native RBC lipids, enabling tunable encapsulation of proteins, nucleic acids, nanoparticles, and viral vectors. The platform demonstrates reproducible nanoscale architecture, preserved membrane composition, and functional cargo ...
Chiranth K. Nagaraj, Xilal Y. Rima, Kim T. Nguyen, Courtney Culkins, Nana Boateng, Jacob Doon‐Ralls, Alejandro Bresolin, Xin Huang, Hong Li, Vahedi Amid, Ajeet Pal Singh, Dharti Shantaram, Anastasiia Amari, Mangesh D. Hade, Nicholas R. Merriam, Zachary D. Schultz, Scott Q. Harper, Nizar Y. Saad, Setty M. Magaña, Willa A. Hsueh, Rachel E. Kopec, Blaise R. Kimmel, Andre F. Palmer, Eduardo Reátegui   +23 more
wiley   +1 more source

Computing quantities of interest for random domains with second order shape sensitivity analysis [PDF]

, 2014
We consider random perturbations of a given domain. The characteristic amplitude of these perturbations is assumed to be small. We are interested in quantities of interest which depend on the random domain through a boundary value problem.
Marc Dambrine, Bénédicte Puig, Dambrine, Marc, Puig, Benedicte, Helmut Harbrecht, Harbrecht, Helmut   +5 more
core   +1 more source

A semi-analytic spectral method for elliptic partial differential equations

Electronic Journal of Differential Equations, 2017
In this article we present a semi-analytic method for solving elliptic partial differential equations. The technique is based on using a spectral method approximation for the second-order derivative in one of the spatial directions followed by ...
Ishtiaq Ali, Maliha Tahseen Saleem
doaj