Results 61 to 70 of about 2,910,066 (190)
A new hybrid finite element approach for three-dimensional elastic problems
Archives of Mechanics, 2012 A new fundamental solution based finite element method (HFS-FEM) is presented for analyzing three-dimensional (3D) elastic problems with body forces in this paper. It begins with deriving formulations of 3D HFS-FEM for elastic problems without body force
C. Cao, Q.-H. Qin, A. Yu
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Fundamental Solutions for Hyperbolic Operators with Variable Coefficients [PDF]
, 2010 In this article we describe the novel method to construct fundamental solutions for operators with variable coefficients. That method was introduced in "A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain"(J ...
Yagdjian, Karen
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Potential method in the theory of thermoelasticity for materials with triple voids
Archives of Mechanics, 2019 In the present paper the linear theory of thermoelasticity for isotropic and homogeneous solids with macro-, meso- and microporosity is considered. In this theory the independent variables are the displacement vector field, the changes of the volume ...
M. Svanadze
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An analytical solution for static problems of curved composite beams
Curved and Layered Structures, 2019 An analytical solution is presented for the determination of deformation of curved composite beams. Each cross-section is assumed to be symmetrical and the applied loads are acted in the plane of symmetry of curved beam.
Ecsedi István, Lengyel Ákos József
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Mathematische Zeitschrift, 1988 This is the first part of a series of papers dealing with eigenfunction expansions for the Schrödinger operator \(H=H_ 0+V(x)\), \(H_ 0=- \Delta /2\), where we assume V(x)\(\in {\mathcal B}^{\infty}(R^ n)\) is real-valued, \({\mathcal B}^{\infty}(R^ n)\) denoting the space of smooth functions on \(R^ n\) with bounded derivatives. In this part, we first
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The p-Laplace equation in a class of Hormander vector fields
Electronic Journal of Differential Equations, 2019 We find the fundamental solution to the p-Laplace equation in a class of Hormander vector fields that generate neither a Carnot group nor a Grushin-type space. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding
Thomas Bieske, Robert D. Freeman
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Modern Stochastics: Theory and Applications, 2019 We introduce a stochastic partial differential equation (SPDE) with elliptic operator in divergence form, with measurable and bounded coefficients and driven by space-time white noise.
Mounir Zili, Eya Zougar
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Application of the numerically obtained fundamental solutions in the field point-source method
Advanced Engineering Research, 2016 The work objective is to obtain an integral equation by which, using the known fundamental solution to the other equation, it is possible to find a fundamental solution to the linear elliptic equation. The concept of a numerical fundamental solution (NFS)
Sergey Yu. Knyazev +1 more
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Branching of automorphic fundamental solutions
Michigan Mathematical Journal, 2015 10 pages, 1 figure. Augmented introduction, other minor changes to improve clarity.
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A simple construction of a fundamental solution for the extended Weinstein equation
CuboIn this article, we study the extended Weinstein equation \[ Lu=\Delta u+\frac{k}{x_n}\frac{\partial u}{\partial x_n}+\frac{\ell}{x_n^2}u, \] where \(u\) is a sufficiently smooth function defined in \(\mathbb{R}^n\) with \(x_n>0\) and \(n\ge 3\).
Sirkka-Liisa Eriksson, Heikki Orelma
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