On spectral properties of the Laplace operator via boundary perturbation.
On Synge-type angle condition for -simplices
The maximum angle condition of J. L. Synge was originally introduced in interpolation theory and further used in finite element analysis and applications for triangular and later also for tetrahedral finite element meshes. In this paper we present some of its generalizations to higher-dimensional simplicial elements. In particular, we prove optimal interpolation properties of linear simplicial elements in that degenerate in some way.
On the acoustic impedence condition for ondulated boundary
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition
A new approach for computationally efficient estimation of stability factors for parametric partial differential equations is presented. The general parametric bilinear form of the problem is approximated by two affinely parametrized bilinear forms at different levels of accuracy (after an empirical interpolation procedure). The successive constraint method is applied on the coarse level to obtain a lower bound for the stability factors, and this bound is extended to the fine level by adding a proper...
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition
A new approach for computationally efficient estimation of stability factors for parametric partial differential equations is presented. The general parametric bilinear form of the problem is approximated by two affinely parametrized bilinear forms at different levels of accuracy (after an empirical interpolation procedure). The successive constraint method is applied on the coarse level to obtain a lower bound for the stability factors, and this...
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition
A new approach for computationally efficient estimation of stability factors for parametric partial differential equations is presented. The general parametric bilinear form of the problem is approximated by two affinely parametrized bilinear forms at different levels of accuracy (after an empirical interpolation procedure). The successive constraint method is applied on the coarse level to obtain a lower bound for the stability factors, and this...
On the asymptotic exactness of Bank-Weiser's estimator.
On the bicubic spline collocation method for Poisson's equations.
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.