Results 271 to 280 of about 27,675 (302)

An Augmented Method for 4th Order PDEs with Discontinuous Coefficients

Journal of Scientific Computing, 2017
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Zhilin Li 0002, Fangfang Qin
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On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient

Multiscale Modeling & Simulation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhilin Li 0002, Xiao-hong Chen 0001, Zhengru Zhang   +2 more
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Rellich and Calderón–Zygmund inequalities for an operator with discontinuous coefficients

Annali di Matematica Pura ed Applicata (1923 -), 2015
The authors provide necessary and sufficient conditions for the validity of the Rellich and the Calderón-Zygmund inequalities in \(L^p(\mathbb{R}^N)\) for the operator \[ L=\Delta +(a-1)\sum_{i,j=1}^N \dfrac{x_ix_j}{|x|^2}D_{ij}+c\dfrac{x}{|x|^2}\cdot\nabla - \dfrac{b}{|x|^2} \] with \(a>0\) and \(b,c\in\mathbb{R}.\) The approach is that of the authors'
METAFUNE, Giorgio Gustavo Ermanno, Sobajima, M., SPINA, CHIARA   +2 more
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On a magneto-elastic system with discontinuous coefficients and the propagation of a weak discontinuity

Meccanica, 1977
In this paper we deduce the magneto-elastic system of equations in the three-dimensional case. As an application we study the propagation of a weak discontinuity when a strong discontinuity also occurs.
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A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

Numerical Mathematics: Theory, Methods and Applications, 2013
In this paper, a new discontinuous Galerkin method is developed for the parabolic equation with jump coefficients satisfying the continuous flow condition. Theoretical analysis shows that this method is $L^2$ stable. When the finite element space consists of interpolative polynomials of degrees $k$, the convergent rate of the semi-discrete ...
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Quasilinear equations with discontinuous coefficients.

2005
The main aim of this paper is to establish an a priori bound of \(\|u\|_{L^\infty (\Omega)}\) for the weak solutions \(u\in W^{1,q} (\Omega)\), \(q>n\) of the equation \(Lu=0\) almost everywhere in \(\Omega\), where \[ L\equiv\sum^N_{i,j=1}\frac {\partial}{\partial x_i}\left(a_{ij}(x,u)\frac{\partial u}{\partial x_j}\right)+ b(x,u)\tag{1} \] and ...
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A Posteriori Error Estimators for Elliptic Equations with Discontinuous Coefficients

Advances in Computational Mathematics, 2002
This paper deals with the elliptic problem \(\nabla(k(x)\nabla u)= f\in L^2(\Omega)\), \(\Omega\subset \mathbb{R}^d\), \(d= 2,3\), where \(k\) is a piecewise constant and positive on polygonal (polyhedral) subdomains, and mixed boundary conditions are given. A posteriori error estimators for the mentioned problems are analyzed. The error estimators can
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Biomimetic discontinuous Bouligand structural design enables high-performance nanocomposites

Matter, 2022
Si-Ming Chen, Kaijin Wu, Huai-Ling Gao   +2 more
exaly  

Discontinuous streaming potential via liquid gate

EScience, 2022
, Yigang Shen, Yaqi Hou
exaly  

Comparison of discontinuous precipitation behavior of Cu-15Ni-8Sn alloy with and without Co addition

Journal of Alloys and Compounds, 2023
Chengjun Guo, Yufan Shi, Xiangpeng Xiao   +2 more
exaly