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Reconstruction algorithm for impenetrable rough surface profile under Neumann boundary condition

, 2022
In this paper, an algorithm to reconstruct one-dimensional impenetrable rough surface from the knowledge of scattering field is presented. The rough surface is considered as locally perturbed and the scattering field data are collected above the ...
Ahmet Sefer, A. Yapar
semanticscholar   +1 more source

Reproducing Kernel for Neumann Boundary Conditions

Punjab University Journal of Mathematics, 2022
We investigate a kernel space which is a particular class of Hilbert space. We discuss various properties of the reproducing kernel. In particular, our aim to construct kernel in reproducing space of the specific function space (Sobolev space) with the inner product and norm. Also, we derive the reproducing kernel for Neumann boundary conditions.
Gautam Patel, Kaushal Patel
openaire   +1 more source

A curved lattice Boltzmann boundary scheme for thermal convective flows with Neumann boundary condition

, 2020
We propose a curved lattice Boltzmann boundary scheme for thermal convective flows with Neumann boundary condition. The distribution function at the fluid-solid intersection node is obtained to accomplish the interpolation of unknown temperature ...
Shi Tao   +4 more
semanticscholar   +1 more source

Modeling the mushy zone during the melting process under Neumann boundary condition using the improved enthalpy-porosity method

, 2020
Non-isothermal melting phenomenon widely exists in phase change process where mixtures are utilized as phase change materials. It is in the mushy zone that phase transition actually occurs during the melting process.
Pengbo Zhao   +4 more
semanticscholar   +1 more source

A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition

, 2020
In this paper, we develop an effective numerical method for solving the fractional sub-diffusion equation with Neumann boundary conditions. The time fractional derivative is approximated by the L1 scheme on graded meshes, the spatial discretization is ...
Xiujun Cheng, Hongyu Qin, Jiwei Zhang
semanticscholar   +1 more source

Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition

, 2020
In this article we prove the existence of at least two weak solutions for a Kirchhoff-type problem by using the minimum principle, the mountain pass theorem and variational methods in Orlicz–Sobolev spaces.
Moloud Makvand Chaharlang, A. Razani
semanticscholar   +1 more source

Analysis of acoustic radiation problems using the cell-based smoothed radial point interpolation method with Dirichlet-to-Neumann boundary condition

Engineering analysis with boundary elements, 2019
In this work, the cell-based smoothed radial point interpolation method (CSRPIM) with Dirichlet-to-Neumann (DtN) boundary condition is presented to resolve acoustic radiation problems.
Youyun Xu   +4 more
semanticscholar   +1 more source

Threshold dynamics of an age–space structured brucellosis disease model with Neumann boundary condition

Nonlinear Analysis: Real World Applications, 2019
Brucellosis is a highly contagious zoonosis in the world caused by a group of bacteria from the genus brucella. It can infect both human and animals through eating contaminated food, breathing polluted air, and direct contact of the infected animals. The
Junyuan Yang, R. Xu, Jiaxu Li
semanticscholar   +1 more source

Roughness effect on Neumann boundary condition [PDF]

open access: possibleAsymptotic Analysis, 2012
We study the effect of a periodic roughness on a Neumann boundary condition. We show that, as in the case of a Dirichlet boundary condition, it is possible to approach this condition by a more complex law on a domain without rugosity, called wall law. This approach is however different from that usually used in Dirichlet case.
openaire   +1 more source

Estimates of Heat Kernels with Neumann Boundary Conditions

Potential Analysis, 2012
This paper is concerned with two-sided estimates for the heat kernels corresponding to general elliptic operators of the form \(Lu=\frac{1}{2}\nabla\cdot(A\nabla u)+b\cdot \nabla u-\nabla(\hat bu)+qu\) in a bounded domain \(D\subset \mathbb R^N\) subject to Robin boundary conditions: \(\frac{1}{2}\langle A\nabla u,n\rangle-\langle \hat b,n\rangle u=0\)
Zhang, Tusheng, Yang, Xue
openaire   +3 more sources

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