A C0 interior penalty method for the Dirichlet control problem governed by biharmonic operator
نویسندگان
چکیده
منابع مشابه
A Quadratic C0 Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates
Abstract. We study a quadratic C0 interior penalty method for the displacement obstacle problem of Kirchhoff plates with general Dirichlet boundary conditions on general polygonal domains. Under the conditions that the obstacles are sufficiently smooth and separated from each other and the boundary displacement, we prove that the magnitudes of the errors in the energy norm and the L∞ norm are O...
متن کاملA C0 Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem
Abstract. In this paper, we develop a C0 interior penalty method for a fourth order singular perturbation elliptic problem in two dimensions on polygonal domains. Using some a posteriori error analysis techniques, we are able to show that the method converges in the energy norm uniformly with respect to the perturbation parameter under minimal regularity assumptions. In addition, we analyze the...
متن کاملA Weakly Over-penalized Symmetric Interior Penalty Method for the Biharmonic Problem
We study a weakly over-penalized symmetric interior penalty method for the biharmonic problem that is intrinsically parallel. Both a priori error analysis and a posteriori error analysis are carried out. The performance of the method is illustrated by numerical experiments. 1. Introduction. Recently, it was noted in [9] that the Poisson problem can be solved by a weakly over-penalized symmetric...
متن کاملConvergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem
We study the convergence of an adaptive Interior Penalty Discontinuous Galerkin (IPDG) method for a 2D model second order elliptic boundary value problem. Based on a residualtype a posteriori error estimator, we prove that after each refinement step of the adaptive scheme we achieve a guaranteed reduction of the global discretization error in the mesh dependent energy norm associated with the I...
متن کاملA Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem
A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which are linear combinations of two Legendre polynomials. A Schur complement approach is used to reduce the resulting linear system to one involving the approximation of the Laplaci...
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: Journal of Computational and Applied Mathematics
سال: 2017
ISSN: 0377-0427
DOI: 10.1016/j.cam.2016.12.005