On a superconvergent finite element scheme for elliptic systems. I. Dirichlet boundary condition
نویسندگان
چکیده
منابع مشابه
On a superconvergent lattice Boltzmann boundary scheme
In a seminal paper [9] Ginzburg and Adler analyzed the bounce-back boundary conditions for the lattice Boltzmann scheme and showed that it could be made exact to second order for the Poiseuille flow if some expressions depending upon the parameters of the method were satisfied, thus defining so-called “magic parameters”. Using the Taylor expansion method that one of us developed, we analyze a s...
متن کاملError Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems
We consider the Galerkin finite element approximation of an elliptic Dirichlet boundary control model problem governed by the Laplacian operator. The functional theoretical setting of this problem uses L2 controls and a “very weak” formulation of the state equation. However, the corresponding finite element approximation uses standard continuous trial and test functions. For this approximation,...
متن کاملFinite-Element Approximation of Elliptic Equations with a Neumann or Robin Condition on a Curved Boundary
This paper considers a finite-element approximation of a second-order selfadjoint elliptic equation in a region flcR" (with n = 2 or 3) having a curved boundary dQ on which a Neumann or Robin condition is prescribed. If the finite-element space denned over D, a union of elements, has approximation power h in the L norm, and if the region of integration is approximated by Q* with dist (Q, £?*) =...
متن کاملAn energy space finite element approach for elliptic Dirichlet boundary control problems
In this paper we present a finite element analysis for a Dirichlet boundary control problem where the Dirichlet control is considered in the energy space H1/2(Γ). As an equivalent norm in H1/2(Γ) we use a norm which is induced by a stabilized hypersingular boundary integral operator. The analysis is based on the mapping properties of the solution operators related to the primal and adjoint boun...
متن کاملFourth order elliptic system with dirichlet boundary condition
* Correspondence: tsjung@kunsan. ac.kr Department of Mathematics, Kunsan National University, Kunsan 573-701, Korea Full list of author information is available at the end of the article Abstract We investigate the multiplicity of the solutions of the fourth order elliptic system with Dirichlet boundary condition. We get two theorems. One theorem is that the fourth order elliptic system has at ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1987
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1987.104242