Abstract. In this paper we consider the finite element approximation of the singularities of the solution of Poisson problems in a polygonal domain with reentrant corners or changing Dirichlet-Neumann boundary conditions. We use a correction algorithm with patches of elements to improve the a priori error estimates and to obtain the same order as the optimal estimate when everything is regular. We give an application of the correction method to the problem of glacier modeling. Mathematics Subject Classification. 65N55, 65N30, 65N15
We consider the Poisson equation -Δu = f with homogeneous Dirichlet boundary condition on a two-dime...
The basic concepts taught in an introductory course in Finite Element Analysis are utilized to solve...
DoctorIn this dissertation, we study the Poisson problem with homogeneous boundary datum in a finite...
Abstract. In this paper we consider the finite element approximation of the singularities of the sol...
In this paper we consider the finite element approximation of the singularities of the solution of P...
In this paper we consider the finite element approximation of the singularities of the solution of P...
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dir...
Abstract. The paper is concerned with the finite element solution of the Poisson equation with ho-mo...
This work was supported in part by National Science Foundation grants DMS-94-96275 and DMS-96-00133 ...
We consider the Poisson equation -Δu = f with homogeneous Dirichlet boundary condition on a two-dime...
. This paper is concerned with the anisotropic singular behaviour of the solution of elliptic bounda...
Summary In this note we introduce a method for handling general boundary conditions based on an appr...
The paper deals with a combination of the Fourier method with the Nitsche-finite-element method (a...
In [1–3] we give a new finite element method to control the domain singularity of the solution of Po...
The paper deals with a combination of the Fourier method with the Nitsche-finite-element method (a...
We consider the Poisson equation -Δu = f with homogeneous Dirichlet boundary condition on a two-dime...
The basic concepts taught in an introductory course in Finite Element Analysis are utilized to solve...
DoctorIn this dissertation, we study the Poisson problem with homogeneous boundary datum in a finite...
Abstract. In this paper we consider the finite element approximation of the singularities of the sol...
In this paper we consider the finite element approximation of the singularities of the solution of P...
In this paper we consider the finite element approximation of the singularities of the solution of P...
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dir...
Abstract. The paper is concerned with the finite element solution of the Poisson equation with ho-mo...
This work was supported in part by National Science Foundation grants DMS-94-96275 and DMS-96-00133 ...
We consider the Poisson equation -Δu = f with homogeneous Dirichlet boundary condition on a two-dime...
. This paper is concerned with the anisotropic singular behaviour of the solution of elliptic bounda...
Summary In this note we introduce a method for handling general boundary conditions based on an appr...
The paper deals with a combination of the Fourier method with the Nitsche-finite-element method (a...
In [1–3] we give a new finite element method to control the domain singularity of the solution of Po...
The paper deals with a combination of the Fourier method with the Nitsche-finite-element method (a...
We consider the Poisson equation -Δu = f with homogeneous Dirichlet boundary condition on a two-dime...
The basic concepts taught in an introductory course in Finite Element Analysis are utilized to solve...
DoctorIn this dissertation, we study the Poisson problem with homogeneous boundary datum in a finite...