Results 31 to 40 of about 418,858 (273)
Singularly perturbed spectral problems with Neumann boundary conditions [PDF]
, 2015 The paper deals with the Neumann spectral problem for a singularly perturbed second order elliptic operator with bounded lower order terms. The main goal is to provide a refined description of the limit behaviour of the principal eigenvalue and ...
Piatnitski, A., Rybalko, A., Rybalko, V.
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 This work deals with the interior transmission eigenvalue problem: $y'' + {k^2}\eta \left( r \right)y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{{\sin k}}{k} - y\left( 1 \right)\cos k},$ where the function $\eta(r ...
Xiao-Chuan Xu +3 more
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The plasmonic eigenvalue problem
, 2014 A plasmon of a bounded domain $\Omega\subset\mathbb{R}^n$ is a non-trivial bounded harmonic function on $\mathbb{R}^n\setminus\partial\Omega$ which is continuous at $\partial\Omega$ and whose exterior and interior normal derivatives at $\partial\Omega ...
Biehs S.-A. +4 more
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Some notes on conformable fractional Sturm–Liouville problems
Boundary Value Problems, 2021 The conformable fractional eigenvalue problem − D x α D x α y + q ( x ) y = λ ρ ( x ) y $$\begin{aligned} -D_{x}^{\alpha }D_{x}^{\alpha }y+q(x)y=\lambda \rho (x)y \end{aligned}$$ is considered.
Wei-Chuan Wang
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Nonlinear elliptic equation with nonlocal integral boundary condition depending on two parameters
Mathematical Modelling and Analysis, 2022 In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method.
Kristina Pupalaigė +2 more
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Eigenvalue bounds of mixed Steklov problems
, 2018 We study bounds on the Riesz means of the mixed Steklov-Neumann and Steklov-Dirichlet eigenvalue problem on a bounded domain $\Omega$ in $\mathbb{R}^n$. The Steklov-Neumann eigenvalue problem is also called the sloshing problem.
Hassannezhad, Asma, Laptev, Ari
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Uncertain Loading and Quantifying Maximum Energy Concentration within Composite Structures [PDF]
, 2016 We introduce a systematic method for identifying the worst case load among all boundary loads of fixed energy. Here the worst case load is defined to be the one that delivers the largest fraction of input energy to a prescribed subdomain of interest. The
Lipton, Robert +2 more
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Advanced Engineering Materials, EarlyView.This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel +3 more
wiley +1 more source
Recursive integral method for transmission eigenvalues
, 2015 Recently, a new eigenvalue problem, called the transmission eigenvalue problem, has attracted many researchers. The problem arose in inverse scattering theory for inhomogeneous media and has important applications in a variety of inverse problems for ...
Huang, Ruihao +3 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source