TITLE

TWO-SCALE FEM FOR ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

PUB. DATE
September 2001
SOURCE
Journal of Computational Mathematics;Sep2001, Vol. 19 Issue 5, p549
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Presents a study which proposed a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic partial differential equation with small periodic coefficients. Dual approximate error estimates; Main results.
ACCESSION #
5901791

 

Related Articles

  • SYPERCONVERGENCES OF THE ADINI'S ELEMENT FOR SECOND ORDER EQUATIONS. Ping Luo; Qun Lin // Journal of Computational Mathematics;Nov99, Vol. 17 Issue 6, p569 

    Presents a study which focused on the asymptotic error expansions of Adini's element for the second order imhomogenous Neumann problem. Advantages of Adini's element; Lemmas and proofs; Numerical example of superconvergences.

  • A Finite Element-Boundary Element Algorithm for Inhomogeneous Boundary Value Problems. Jung, M.; Steinbach, O. // Computing;2002, Vol. 68 Issue 1, p1 

    For the solution of inhomogeneous boundary value problems in complex three-dimensional domains we propose a successively coupled finite-boundary element method. By using a finite element method in a simpler auxiliary domain we first compute a particular solution of the inhomogeneous partial...

  • Symmetry of Bound and Antibound States in the Semiclassical Limit. Bindel, David; Zworski, Maciej // Letters in Mathematical Physics;Aug2007, Vol. 81 Issue 2, p107 

    Motivated by a recent numerical observation we show that in one dimensional scattering a barrier separating the interaction region from infinity implies approximate symmetry of bound and antibound states. We also outline the numerical procedure used for an efficient computation of one...

  • Interior estimates for systems of elliptic-parabolic difference partial differential equations. Kato, Nobuyuki // Nonlinear Studies;2008, Vol. 15 Issue 1, p1 

    This paper is aimed to formulate Campanato-type interior estimates for solutions of Rothe's approximate equations to parabolic partial differential systems in non-divergence form, "independently of the approximation." Combined with the estimates near the boundary in another paper, they will be...

  • Dirichlet and Neumann problems to critical Emden–Fowler type equations. Alexander Nazarov // Journal of Global Optimization;Mar2008, Vol. 40 Issue 1-3, p289 

    Abstract  We describe recent results on attainability of sharp constants in the Sobolev inequality, the Sobolev–Poincaré inequality, the Hardy–Sobolev inequality and related inequalities. This gives us the solvability of boundary value problems to...

  • Special Function Related to the Scattering of the Whispering Gallery Mode at a Point of Local Straightening. Kazakov, A. // Journal of Mathematical Sciences;Jul2005, Vol. 128 Issue 2, p2782 

    We consider the scattering of the whispering gallery mode at a point of local straightening of the boundary. A special function describing the main features of the wave field in the vicinity of the point of local straightening is constructed and examined. Bibliography: 12 titles.

  • Evolution of the Perturbation of a Circle in the Stokes�Leibenson Problem for the Hele-Shaw Flow. Demidov, A. S. // Journal of Mathematical Sciences;Oct2004, Vol. 123 Issue 5, p4381 

    Among the initial contours of the Sobolev class H1 close to a circle, we distinguish the set of those for which the Stokes�Leibenson problem in the case of a source has a solution, moreover, this solution is unique. The contour corresponding to this solution is defined for all t > 0 and...

  • THE UNCONDITIONAL CONVERGENT DIFFERENCE METHODS WITH INTRINSIC PARALLELISM FOR QUASILINEAR PARABOLIC SYSTEMS WITH TWO DIMENSIONS. Longjun Shen; Guangwei Yuan // Journal of Computational Mathematics;Jan2003, Vol. 21 Issue 1, p41 

    Presents a study which derived a solution for the boundary value problem of quasilinear parabolic systems of partial differential equations. Description of difference schemes with intrinsic parallelism; Existence of the discrete vector solutions for the finite difference systems; Establishment...

  • ON APPROXIMATION OF LAPLACIAN EIGENPROBLEM OVER A REGULAR HEXAGON WITH ZERO BOUNDARY CONDITIONS. Jia-chang Sun // Journal of Computational Mathematics;Mar2004, Vol. 22 Issue 2, p275 

    In my earlier paper [4], an eigen-decompositions of the Laplacian operator is given on a unit regular hexagon with periodic boundary conditions. Since an exact decomposition with Dirichlet boundary conditions has not been explored in terms of any elementary form. In this paper, we investigate an...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics