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Titlebook: Singularities and Constructive Methods for Their Treatment; Proceedings of the C Pierre Grisvard,Wolfgang L. Wendland,John R. White Confere

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Calculation of potential in a sector,mputing the numerical values of the coefficients. Moreover, by suitably pairing some terms of the series, the resulting series of terms and pairs turns out to be convergent. It is therefore quite suitable for calculating values of the harmonic function near the vertex.
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Eigenfunction expansions for non self adjoint operators and separation of variables, the usual boundary conditions even in the case of fractures. Other examples are the Stokes equations and the Stokes-Beltrami equation in special geometries. This research has been mainly motivated by various papers of . (especially ref. [7],[8] below). The main results are presented in the short note [5].
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On finite element methods for nonlinear elliptic problems on domains with corners,e eigenvalue α is given by a root of a quadratic polynomial with known coefficients. The theoretical results are used for the investigation of the ordinary Finite Element Method and the Dual Singular Function Method already known from the linear case. Some numerical computations illustrate the theoretical results.
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Singularities of cracks with generalized finite elements,e surface displacements of notch or crack zones accurately. Most of these aforementioned difficulties can be eliminated by using a modified hybrid stress model in combination with the displacement method. The proposed . will be shown to offer some significant advantages for plane, axi-symmetric and three dimensionel problems of fracture mechanics.
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Singularities and Constructive Methods for Their Treatment978-3-540-39377-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Lecture Notes in Mathematicshttp://image.papertrans.cn/s/image/867919.jpg
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