On the boundary element method for the Signorini problem of the Laplacian.
On the Condition Number of Boundary Integral Operators for the Exterior Dirichlet Problem for the Helmholtz Equation.
On the Construction of Finite Difference Schemes Approximating Generalized Solutions
On the convergence of a modified block SOR algorithm.
On the Convergence of Multi-Grid Methods for a Hypersingular Integral Equation of the First Kind.
On the Convergence of the Galerkin Method for Nonsmooth Solutions of Integral Equations.
On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in R2.
On the dam problem with boundary leaky condition
On the diffraction of high-frequency waves by arbitrary shape cone. Neumann case
On the eigenvalues of a Robin problem with a large parameter
We consider the Robin eigenvalue problem in , on where , is a bounded domain and is a real parameter. We investigate the behavior of the eigenvalues of this problem as functions of the parameter . We analyze the monotonicity and convexity properties of the eigenvalues and give a variational proof of the formula for the derivative . Assuming that the boundary is of class we obtain estimates to the difference between the -th eigenvalue of the Laplace operator with Dirichlet...
On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate
On the existence of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds.
On the existence, uniqueness, and basis properties of radial eigenfunctions of a semilinear second-order elliptic equation in a ball.
On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains
The paper is concerned with the study of an elliptic boundary value problem with a nonlinear Newton boundary condition considered in a two-dimensional nonpolygonal domain with a curved boundary. The existence and uniqueness of the solution of the continuous problem is a consequence of the monotone operator theory. The main attention is paid to the effect of the basic finite element variational crimes: approximation of the curved boundary by a polygonal one and the evaluation of integrals by numerical...
On the finite element approximation of solutions for radiation problem
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].
On the low wave number behavior of two-dimensional scattering problems for an open arc.
On the lowest eigenvalue of the Laplacian for the intersection of two domains.
On the method of least squares on the boundary
On the nodal lines of second eigenfunctions of the fixed membrane problem.