Considering the Dirichlet problem for Poisson's equation in two and three dimensions, we derive a posteriori error estimators for finite element solutions with interpolated boundary values. The estimators are reliable and (locally) efficient with respect to the energy norm error, also in the case of discontinuous boundary values and load terms that are not square-integrable due to singularities at the boundary of the underlying domain. Moreover, we propose an adaptive algorithm based upon these estimators and test it also in nonsmooth cases of the aforementioned type: its convergence rate is optimal
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
Techniques are developed for a posteriori error analysis of the non-homogeneous Dirichlet problem fo...
Techniques are developed for a posteriori error analysis of the non-homogeneous Dirichlet problem fo...
Techniques are developed for a posteriori error analysis of the non-homogeneous Dirichlet problem fo...
AbstractWe analyse three different a posteriori error estimators for elliptic partial differential e...
Summary In this note we introduce a method for handling general boundary conditions based on an appr...
We consider linear elliptic equations with discontinuous coefficients in two and three space dimensi...
AbstractThe present work is devoted to the a posteriori error estimation for the Poisson equation wi...
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dir...
2011 Summer.Includes bibliographical references.The solution of partial differential equations on no...
AbstractFor a Dirichlet problem of the Poisson equation the present paper discusses some convergence...
AbstractWe consider the solution of a second order elliptic PDE with inhomogeneous Dirichlet data by...
AbstractFor the multidimensional Dirichlet problem of the Poisson equation on an arbitrary compact d...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
Techniques are developed for a posteriori error analysis of the non-homogeneous Dirichlet problem fo...
Techniques are developed for a posteriori error analysis of the non-homogeneous Dirichlet problem fo...
Techniques are developed for a posteriori error analysis of the non-homogeneous Dirichlet problem fo...
AbstractWe analyse three different a posteriori error estimators for elliptic partial differential e...
Summary In this note we introduce a method for handling general boundary conditions based on an appr...
We consider linear elliptic equations with discontinuous coefficients in two and three space dimensi...
AbstractThe present work is devoted to the a posteriori error estimation for the Poisson equation wi...
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dir...
2011 Summer.Includes bibliographical references.The solution of partial differential equations on no...
AbstractFor a Dirichlet problem of the Poisson equation the present paper discusses some convergence...
AbstractWe consider the solution of a second order elliptic PDE with inhomogeneous Dirichlet data by...
AbstractFor the multidimensional Dirichlet problem of the Poisson equation on an arbitrary compact d...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...
In this paper we study the efficiency and the reliability of an anisotropic a posteriori error estim...