[PDF] Top 20 Superconvergence of a finite element method for linear integro differential problems

... [10] S. O. London and O. J. Staffans (eds.), Volterra Equations, Lecture Notes in Mathematics, vol. 737, Springer, Berlin, 1979, Proceedings of the Helsinki Symposium on Integral Equations held at Helsinki University of ... See full document

... the superconvergence of finite element approximation of bilinear elliptic control ...finite element approximation for linear elliptic control problems can be found in [, ... See full document

... we give some applications of the results obtained in Sections 2, 3 and 4. For example, a postprocessing technique is employed to obtain second-order superconvergence for gradient and first-order for the solution ... See full document

... piecewise linear finite element approximations of a parabolic ...strong superconvergence of finite element schemes for a class of Sobolev equations in R d d ≥ 1, and two order ... See full document

... The superconvergence in the finite element method is a phenomenon in which the finite element approximation converges to the exact solution at a rate higher than the optimal ... See full document

... The superconvergence in the finite element method is a phenomenon in which the finite element approximation converges to the exact solution at a rate higher than the optimal ... See full document

... control problems (OCPs) governed partial dif- ferential equations are playing an increasingly crucial role in a lot of engineering applications, such as chemical processes, fluid dynamics, medicine, economics, and ... See full document

... and superconvergence for linear quadratic optimal control problems using mixed finite-element ...control problems were addressed in ... See full document

... boundary-value problems in ordinary differential equations occur in many branches of physics; examples include the two-dimensional, incompressible, one- dimensional heat transfer, boundary layer equations, ... See full document

... finite element discretization for the optimal control problems governed by integro-differential equations and briefly state the definitions and properties of some interpolation ... See full document

... The purpose of this paper is to investigate the weak formulation of the optimal con- trol problem governed by integro-differential equations of hyperbolic type, and then its finite element approximation. ... See full document

... engineering problems such as contour integration, electrical engineer- ing, digital filters, generating functions, physical problems, Fourier analysis, conformal mappings, mechanical problems, ... See full document

... of linear integro-differential equations, such as the Improved Bessel collocation method [4], the Legendre wavelets method [5], the finite element method [6], the ... See full document

... solve linear and nonlinear ...value problems for inte- gro-differential ...value problems. In [20], two dimensional DTM is utilized to solve linear and non- linear ...solve ... See full document

... P., "A Finite Element Method for Problems Involving the Helmholtz Equation in Two Dimensional Exterior Regions", Ph.D.. Thesis, Carnegie-Mellon University, Pittsburgh, PA, 1972..[r] ... See full document

... we can express. Because u1 = 0 is the limit condition of the bar. Thus, boundary conditions; it can be said that there are restrictions on the displacements of certain parts or parts of the body. These restrictions ... See full document

... the integro- differential equations through their work in science applications like heat transformer, neutron diffusion, and biological species coexisting together with increasing and decreasing rates of ... See full document

... Remark. By Theorems 3.2 and 4.2 , we extend and improve (ES) and (I) results in the literature from linear (VIDEs) with time-lag to non-linear (VIDEs) with time-lag (see Adıvar and Raffoul [1, Theorems 1 ... See full document

... Finite element analysis is a fairly recent technique of numerical computations of ...The method has wide application and enjoys extensive utilization in the structural, thermal and fluid analysis ... See full document

... the element at the crack ...of finite element procedures for ...available, finite element programs can be used to model crack tip fields accurately with only minimal pre-processing ... See full document