Abstract-A method for approximating the solution of an elliptic equation with an oblique derivative on a curved boundary using an unfitted finite element mesh is presented and analysed. It is shown that the method retains the order of accuracy of the fitted mesh finite element method. A similar result is obtained for a variational inequality. The usefulness of this approach is then demonstrated by using it to approximate the solution of a free boundary problem on a fixed mesh
AbstractThe analysis and implementation of finite element methods for problems with inhomogeneous es...
Abstract. In this paper a new finite element approach for the discretization of elliptic partial dif...
ABSTRACT. The main aim of this paper is to consider the numerical approximation of mildly nonlinear ...
AbstractA method for approximating the solution of an elliptic equation with an oblique derivative o...
A numerical method for approximating a uniformly elliptic oblique derivative problem in two-dimensio...
Abstract. The paper studies a method for solving elliptic partial differential equations posed on hy...
We investigate optimal control of an elliptic partial differential equation (PDE) with oblique bound...
summary:Approximation of nonhomogeneous boundary conditions of Dirichlet and Neumann types is sugges...
In this paper we propose a method for the finite element solution of elliptic interface problem, usi...
In this paper we propose a method for the finite element solution of elliptic interface problems, us...
summary:Using the stream function, some finite element subspaces of divergence-free vector functions...
In this paper we propose a method for the finite element solution of elliptic interface problems, us...
This thesis focuses on the numerical analysis of partial differential equations (PDEs), the main goa...
In this work, we propose a method to prescribe essential boundary conditions in the finite element a...
summary:A second order elliptic problem with axisymmetric data is solved in a finite element space, ...
AbstractThe analysis and implementation of finite element methods for problems with inhomogeneous es...
Abstract. In this paper a new finite element approach for the discretization of elliptic partial dif...
ABSTRACT. The main aim of this paper is to consider the numerical approximation of mildly nonlinear ...
AbstractA method for approximating the solution of an elliptic equation with an oblique derivative o...
A numerical method for approximating a uniformly elliptic oblique derivative problem in two-dimensio...
Abstract. The paper studies a method for solving elliptic partial differential equations posed on hy...
We investigate optimal control of an elliptic partial differential equation (PDE) with oblique bound...
summary:Approximation of nonhomogeneous boundary conditions of Dirichlet and Neumann types is sugges...
In this paper we propose a method for the finite element solution of elliptic interface problem, usi...
In this paper we propose a method for the finite element solution of elliptic interface problems, us...
summary:Using the stream function, some finite element subspaces of divergence-free vector functions...
In this paper we propose a method for the finite element solution of elliptic interface problems, us...
This thesis focuses on the numerical analysis of partial differential equations (PDEs), the main goa...
In this work, we propose a method to prescribe essential boundary conditions in the finite element a...
summary:A second order elliptic problem with axisymmetric data is solved in a finite element space, ...
AbstractThe analysis and implementation of finite element methods for problems with inhomogeneous es...
Abstract. In this paper a new finite element approach for the discretization of elliptic partial dif...
ABSTRACT. The main aim of this paper is to consider the numerical approximation of mildly nonlinear ...