نتایج جستجو برای: chebyshev gauss lobbato points
تعداد نتایج: 279363 فیلتر نتایج به سال:
A numerical test case demonstrates that Lobatto and Gauss points are not natural superconvergent points for cubic and quartic finite elements under equilateral triangular mesh. 2000 Mathematics Subject Classification. Primary 65N30, Secondary 65N15, 41A10, 41A25, 41A27, 41A63.
We present an a priori analysis of the hp-version of the finite element method for the primal formulation of frictional contact in linear elasticity. We introduce a new limiting case estimate for the interpolation error at Gauss and Gauss-Lobatto quadrature points. An hp-adaptive strategy is presented; numerical results shows that this strategy can lead to exponential convergence.
finding the optimum overrelaxation parameter o¡¡, is an important and often a difficult part of the problem [1, p. 257]. When A is a 2-cyclic, consistently ordered, real symmetric, positive-definite matrix (this will be assumed in the rest of the paper), only the spectral radius p(£i) of the associated Gauss-Seidel iteration matrix £i is needed to determine the optimum parameter co¡, [2, p. 109...
in this thesis we will present three topics. we define approximate fixed points in fuzzy normed spaces. also we obtain some necessary and sufficient conditions on the existence of? -fixed points for ? > 0. at the continue some results about approximate fixed points for a class of non-expansive maps on g-metric spaces are obtained and we define approximate fixed points in partial metric spa...
Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials
This paper studies a receding contact problem of functionally graded layer laminate pressed against coated homogeneous half-plane substrate by rigid flat indenter. The shear modulus the materials with constant Poisson’s ratio is modeled an exponential function which varies along thickness direction. Both governing equations and boundary conditions are converted into pair singular integral using...
In the present paper, we discuss the novel concept of super-compressed tensor-structured data formats in high dimensional applications. We describe the multi-folding or quantics based tensor approximation method of O(d logN)-complexity (logarithmic scaling in the volume size), applied to the discrete functions over the product index set {1, ..., N}⊗d, or briefly N -d tensors of size N, and to t...
In this paper, double integrals over an arbitrary quadrilateral are evaluated exploiting finite element method. The physical region is transformed into a standard quadrilateral finite element using the basis functions in local space. Then the standard quadrilateral is subdivided into two triangles, and each triangle is further discretized into 4 n right isosceles triangles, with area 1 2n2, and...
This paper describes a simple but effective technique for reducing dispersion errors in finite element solutions of timeharmonic wave propagation problems. The method involves a simple shift of the integration points to locations away from conventional Gauss or Gauss–Lobatto integration points. For bilinear rectangular elements, such a shift results in fourth-order accuracy with respect to disp...
Let K be a number field with algebraic closure K, let S be a finite set of places of K containing the archimedean places, and let φ be a Chebyshev polynomial. We prove that if α ∈ K is not preperiodic, then there are only finitely many preperiodic points β ∈ K which are S-integral with respect to α.
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