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Boundary integral equation for a curvilinear boundary crack
Journal of Applied Mathematics and Mechanics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2010
According to the fuzzy structured element representation theorem of fuzzy-valued function, under the background of engineering, this paper gives the definition of fuzzy-valued function’s first form curvilinear integral, presents the representation theorem of two-dimensional fuzzy number and fuzzy vector based on fuzzy structured element, and gives the ...
Sizong Guo, Jian Han, Changhua Chen
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According to the fuzzy structured element representation theorem of fuzzy-valued function, under the background of engineering, this paper gives the definition of fuzzy-valued function’s first form curvilinear integral, presents the representation theorem of two-dimensional fuzzy number and fuzzy vector based on fuzzy structured element, and gives the ...
Sizong Guo, Jian Han, Changhua Chen
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Reflection and transmission at curvilinear interface in terms of surface integrals
Wave Motion, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klem-Musatov, Kamill +3 more
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A Simple Transformation for Near-Singular Integrals on Curvilinear Elements
IEEE Transactions on Antennas and Propagation, 2015It is difficult to evaluate the near-singular four-dimensional integrals in the Galerkin magnetic-field integral equations (MFIE), especially for the curvilinear elements. This communication presents a hyperbolic transformation to cancel the near singularities in the ${\bf 1}/{{\bm {R}}^{\bf 2}}$ kernel on curved quadrilateral elements, which is ...
Haobo Yuan +3 more
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Quadrature formulae for the Hadamard integral over a curvilinear surface
Russian Journal of Numerical Analysis and Mathematical Modelling, 1998The authors construct a quadrature formula for integrals of the type \[ \frac{1}{4\pi} \int_\sigma \frac{\nu(M_0) d\sigma_{M_0}}{| M_0M| ^3} , \] where \(\sigma\) is a differentiable manifold with boundary, \(M_0\), \(M \in \sigma\), \(\nu(M_0)\) is a sufficiently smooth function, and \(| M_0 M| \) is the distance between \(M\) and \(M_0\).
Lifanov, I. K., Poltavskii, L. M.
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Curvilinear, Surface, and D-Dimensional Integrals
2019In this chapter, we define and discuss volume integrals in \(\, D\)-dimensional space, curvilinear, and surface integrals of the first and second types in 3D.
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Characteristic operator and the curvilinear integral for a semi-Markov process
Journal of Soviet Mathematics, 1992See the review in Zbl 0709.60092.
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Numerical solution of boundary integral equations on curvilinear polygons
Moscow University Mathematics Bulletin, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The curvilinear integral method: a question to the critical plane concept
International Journal of Fatigue, 1997Abstract There are many supporters of the critical plane concept who try to formulate the most adequate critical plane measure, reduce multiaxial loading components to critical plane stressing and predict fatigue life irrespective of how stressed the rest of the planes are. A simple question then occurs: would the life be the same if, in a ‘maximized’
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Robust variational inequalities governed by curvilinear integral functionals
Journal of Nonlinear and Variational AnalysisSummary: In this paper, we state that generalized convexity, invex sets, and the Fréchet differentiability assumption associated with curvilinear integral type functionals represent some necessary and sufficient mathematical tools for establishing various connections between the solutions of some robust (weak) vector commanded variational inequalities ...
Treanţă, Savin, Yao, Jen-Chih
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