In this paper, a domain integral method to evaluate the J-integral along with a singular patch method for three-dimensional linear elastic fracture mechanics analyses using Isogeometric analysis (IGA) are presented.
Omar Tabaza +2 more
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APPLICATION OF THE METHOD OF BOUNDARY INTEGRAL EQUATIONS FOR NON-STATIONARY PROBLEM OF THERMAL CONDUCTIVITY IN AXIALLY SYMMETRIC DOMAIN [PDF]
The article considers the non-stationary initial-boundary problem of thermal conductivity in axially symmetric domain in Minkowski space, formulated as equivalent boundary integral equation.
Grigoriy Zrazhevsky, Vera Zrazhevska
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New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations [PDF]
In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is
Maitama, Shehu, Zhao, Weidong
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Dp-Minimal integral domains [PDF]
It is shown that every dp-minimal integral domain $R$ is a local ring and for every non-maximal prime ideal $\mathfrak p $ of $R$, the localization $R_{\mathfrak p }$ is a valuation ring and $\mathfrak{p}R_{\mathfrak{p}}=\mathfrak{p}$. Furthermore, a dp-minimal integral domain is a valuation ring if and only if its residue field is infinite or its ...
D'Elbée, Christian, Halevi, Yatir
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Solution of a two-dimensional parabolic model problem in a degenerate angular domain [PDF]
In this paper, the boundary value problem of heat conduction in a domain was considered, boundary of which changes with time, as well as there is no the problem solution domain at the initial time, that is, it degenerates into a point.
M.I. Ramazanov +2 more
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Nilpotent Lie algebras of derivations with the center of small corank
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi +2 more
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On the uniqueness of linear convection–diffusion equations with integral boundary conditions
We investigate a class of convection–diffusion equations in an expanding domain involving a parameter, where we consider integral boundary conditions that depend non-locally on unknown solutions.
Lee, Chiun-Chang +2 more
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Chkadua O. +8 more
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An accelerated hybrid TLM-IE method for the investigation of shielding effectiveness [PDF]
A hybrid numerical technique combining time-domain integral equations (TD-IE) with the transmission line matrix (TLM) method is presented for the efficient modeling of transient wave phenomena.
N. Fichtner, P. Russer
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Organic Log‐Domain Integrator Synapse
AbstractSynapses play a critical role in memory, learning, and cognition. Their main functions include converting presynaptic voltage spikes to postsynaptic currents, as well as scaling the input signal. Several brain‐inspired architectures have been proposed to emulate the behavior of biological synapses.
Mirshojaeian Hosseini, Mohammad Javad +3 more
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