Add to ORKGAbstract: A Dirichlet boundary value problem for the Laplace equation in a three-dimensional layer with a local perturbation of the boundary is solved by the method of boundary integral equation (IE). The unique solvability of the IE and its Fredholm property are proved. A Galerkin method of the IE numerical solution aimed at the use of parallel computations is developed and justified
AbstractWe shall study a weak solution in the Sobolev space of the transmission problem for the Lapl...
In Boundary Element Method, Green’s function with no boundary conditions is used for solving Laplace...
In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-lo...
The paper considers the multidimensional Poisson equation in the domain bounded by two parallel hype...
In order to numerically solve the interior and the exterior Dirichlet problems for the Laplacian ope...
The authors consider the interior Dirichlet problem for Laplace’s equation on planar domains with co...
The authors consider the interior Dirichlet problem for Laplace’s equation on planar domains with co...
The authors consider the interior Dirichlet problem for Laplace’s equation on planar domains with co...
In order to numerically solve the interior and the exterior Dirichlet problems for the Laplacian ope...
Boundary integral equations have been used to create effective methods for solving elliptic partial ...
We consider first-kind boundary integral equations with logarithmic kernel such as those arising fro...
AbstractA singular perturbed convection–diffusion problem on polygons is considered. Several boundar...
© Published under licence by IOP Publishing Ltd. In this paper we present the spline interpolation m...
In this paper we present a numerical solution method for the Bernoulli free boundary value problem f...
© Published under licence by IOP Publishing Ltd. In this paper we present the spline interpolation m...
AbstractWe shall study a weak solution in the Sobolev space of the transmission problem for the Lapl...
In Boundary Element Method, Green’s function with no boundary conditions is used for solving Laplace...
In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-lo...
The paper considers the multidimensional Poisson equation in the domain bounded by two parallel hype...
In order to numerically solve the interior and the exterior Dirichlet problems for the Laplacian ope...
The authors consider the interior Dirichlet problem for Laplace’s equation on planar domains with co...
The authors consider the interior Dirichlet problem for Laplace’s equation on planar domains with co...
The authors consider the interior Dirichlet problem for Laplace’s equation on planar domains with co...
In order to numerically solve the interior and the exterior Dirichlet problems for the Laplacian ope...
Boundary integral equations have been used to create effective methods for solving elliptic partial ...
We consider first-kind boundary integral equations with logarithmic kernel such as those arising fro...
AbstractA singular perturbed convection–diffusion problem on polygons is considered. Several boundar...
© Published under licence by IOP Publishing Ltd. In this paper we present the spline interpolation m...
In this paper we present a numerical solution method for the Bernoulli free boundary value problem f...
© Published under licence by IOP Publishing Ltd. In this paper we present the spline interpolation m...
AbstractWe shall study a weak solution in the Sobolev space of the transmission problem for the Lapl...
In Boundary Element Method, Green’s function with no boundary conditions is used for solving Laplace...
In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-lo...