Some Generalizations of the Euler-Knopp Transformation.
Some generalized error inequalities and applications.
Some geometric aspects of Sobolev spaces
Some inequalities for commutators and an application to spectral variation.
Some insights into the regularization of ill-posed problems.
Some Iterations for Factoring a Polynomial. II. A Generalization of the Secant Method.
Some iterative methods for solving equilibrium problems and optimization problems.
Some iterative Poisson solvers applied to numerical solution of the model fourth-order elliptic problem
The numerical solution of the model fourth-order elliptic boundary value problem in two dimensions is presented. The iterative procedure in which the biharmonic operator is splitted into two Laplace operators is used. After formulating the finite-difference approximation of the procedure, a formula for the evaluation of the transformed iteration vectors is developed. The Jacobi semi-iterative, Richardson and A.D.I. iterative Poisson solvers are applied to compute one transformed iteration vector....
Some -error estimates for semi-variational method applied to parabolic equations
Some limit properties of the best determined terms method
Some methods of numerical integration over a semi-infinite interval
Some mixed finite element methods on anisotropic meshes
The paper deals with some mixed finite element methods on a class of anisotropic meshes based on tetrahedra and prismatic (pentahedral) elements. Anisotropic local interpolation error estimates are derived in some anisotropic weighted Sobolev spaces. As particular applications, the numerical approximation by mixed methods of the Laplace equation in domains with edges is investigated where anisotropic finite element meshes are appropriate. Optimal error estimates are obtained using some anisotropic...
Some mixed finite element methods on anisotropic meshes
The paper deals with some mixed finite element methods on a class of anisotropic meshes based on tetrahedra and prismatic (pentahedral) elements. Anisotropic local interpolation error estimates are derived in some anisotropic weighted Sobolev spaces. As particular applications, the numerical approximation by mixed methods of the Laplace equation in domains with edges is investigated where anisotropic finite element meshes are appropriate. Optimal error estimates are obtained using some anisotropic...
Some modifications of finite-difference schemes for the elliptic singular problem
Some modifications of Sobolev spaces and non-linear boundary value problems
Some modifications of the classic five point finite-difference scheme for the mixed problem for the Laplace equation
Some new convergence results in finite element theories for elliptic problems
Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method
We consider a family of conforming finite element schemes with piecewise polynomial space of degree in space for solving the wave equation, as a model for second order hyperbolic equations. The discretization in time is performed using the Newmark method. A new a priori estimate is proved. Thanks to this new a priori estimate, it is proved that the convergence order of the error is in the discrete norms of and , where and are the mesh size of the spatial and temporal discretization, respectively....
Some New Families of Finite Elements for the Stokes Equations.
Some new formulas for .