Add to ORKGFor the given Poisson's equation, we use the finite element method to find an approximate solution. According to the theory of the finite element method, we construct in a certain Sobolev space a finite dimensional subspace; unlike the classical approach, we generate the subspace using a basis of splines. The solution in the subspace approximates both the function and its derivative. This makes the approximation more accurate.
A calculating formula to solve Poisson equation with boundary conditions conforming to its exact sol...
In this paper, we apply a boundary-type quadrature technique to derive a type of boundary element sc...
The collocation method with weighted extended B-splines (WEB-splines) represents a recently publishe...
For the given Poisson's equation, we use the finite element method to find an approximate solution. ...
It is known that generalized barycentric coordinates (GBCs) can be used to form Bernstein polynomial...
The basic concepts taught in an introductory course in Finite Element Analysis are utilized to solve...
A numerical method for solving linear, two-dimensional elliptic boundary value problems is presented...
We present the Finite Element Method (FEM) to compute the solutions of Laplace/ Poisson equations in...
Summary In this note we introduce a method for handling general boundary conditions based on an appr...
In Boundary Element Method, Green’s function with no boundary conditions is used for solving Laplace...
The autors have constructed an approximate solution in the form of a spline-function of third degrae...
Abstract Poisson’s Equation on a rectangular domain describes conduction heat transfer on a plate. T...
We adopt a numerical method to solve Poisson's equation on a fixed grid with embedded boundary condi...
The paper presents the Poisson equation and its solution by the finite element method. A numerical e...
We consider the Poisson problem in a domain with small holes, as a template for developing efficient...
A calculating formula to solve Poisson equation with boundary conditions conforming to its exact sol...
In this paper, we apply a boundary-type quadrature technique to derive a type of boundary element sc...
The collocation method with weighted extended B-splines (WEB-splines) represents a recently publishe...
For the given Poisson's equation, we use the finite element method to find an approximate solution. ...
It is known that generalized barycentric coordinates (GBCs) can be used to form Bernstein polynomial...
The basic concepts taught in an introductory course in Finite Element Analysis are utilized to solve...
A numerical method for solving linear, two-dimensional elliptic boundary value problems is presented...
We present the Finite Element Method (FEM) to compute the solutions of Laplace/ Poisson equations in...
Summary In this note we introduce a method for handling general boundary conditions based on an appr...
In Boundary Element Method, Green’s function with no boundary conditions is used for solving Laplace...
The autors have constructed an approximate solution in the form of a spline-function of third degrae...
Abstract Poisson’s Equation on a rectangular domain describes conduction heat transfer on a plate. T...
We adopt a numerical method to solve Poisson's equation on a fixed grid with embedded boundary condi...
The paper presents the Poisson equation and its solution by the finite element method. A numerical e...
We consider the Poisson problem in a domain with small holes, as a template for developing efficient...
A calculating formula to solve Poisson equation with boundary conditions conforming to its exact sol...
In this paper, we apply a boundary-type quadrature technique to derive a type of boundary element sc...
The collocation method with weighted extended B-splines (WEB-splines) represents a recently publishe...