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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Talkative

On a numerical method for fracture mechanics,n of G as a surface integral, which is mathematically equivalent to other well known expressions as the J integral of Rice or the expression in terms of stress intensity factors. Using interior error estimates, we derive an error estimate of O (h .) on G by using piecewise linear elements. For sake

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On finite element methods for nonlinear elliptic problems on domains with corners,s=r.t(φ) and w satisfies |w| ≤ cr., etc. with a small ?=? (α,p). The pair (α,t(?)) is obtained by a nonlinear eigenvalue problem. It is proved that the eigenvalue α is given by a root of a quadratic polynomial with known coefficients. The theoretical results are used for the investigation of the ord

exhilaration

Boundary integral equations for sound radiation by a harmonically vibrating baffled plate,ndary conditions lead to a system of two integral equations along the boundary of the plate: due to energy dissipation in the fluid, this system has always one and only one solution. A numerical approximation is obtained by a collocation method: the convergence is illustrated by a simple example.

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An integral equation formulation for a boundary value problem of elasticity in the domain exterior n that the problem can be reduced to a system of boundary integral equations with the unknown density function being the jump of stresses across the arc. Existence, uniqueness as well as regularity results for the solution to the boundary integral equations are established in appropriate Sobolev spa

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Singularities of cracks with generalized finite elements, its limitations. In using this method, it is found that the resulting stiffness matrix is often poorly conditioned and it is not possible to determine surface displacements of notch or crack zones accurately. Most of these aforementioned difficulties can be eliminated by using a modified hybrid str

EWER

On the approximation of linear elliptic systems on polygonal domains,e adjoint problem. Here, the solution and the SIF are calculated with the same rates as is done by the non-modified method for the regular part of the solution. Finally, in some numerical examples the DSFM is compared with the wellknown singular function method.

reflection

An integral equation formulation for a boundary value problem of elasticity in the domain exterior ingular elements to the regular splines as test and trial functions, an augmented Galerkin procedure is used for the corresponding boundary integral equations to obtain a quasi-optimal rate of convergence for the approximate solutions.