On the asymptotic exactness of Bank-Weiser's estimator.
On the asymptotic exactness of error estimators for linear triangular finite elements.
On the asymptotics of solutions of elliptic equations in a neighborhood of a crack with nonsmooth front.
On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions
On the boundedness of multipliers, commutators and the second derivatives of Green’s operators on and
On the characterization of harmonic functions with initial data in Morrey space
Let be a metric measure space satisfying the doubling condition and an -Poincaré inequality. Consider the nonnegative operator generalized by a Dirichlet form on . We will show that a solution to on satisfies an -Carleson condition if and only if can be represented as the Poisson integral of the operator with the trace in the generalized Morrey space , where is a nonnegative function defined on a class of balls in . This result extends the analogous characterization founded...
On the choice of iteration parameters in the Stone incomplete factorization
The paper is concerned with the iterative solution of sparse linear algebraic systems by the Stone incomplete factorization. For the sake of clarity, the algorithm of the Stone incomplete factorization is described and, moreover, some properties of the method are derived in the paper. The conclusion is devoted to a series of numerical experiments focused on the choice of iteration parameters in the Stone method. The model problem considered showe that we can, in general, choose appropriate values...
On the Construction of Optimal Mixed Finite Element Methods for the Linear Elasticity Problem.
On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radiusof balls in .
On the Convergence of Difference Schemes for the Approximation of Solutions u...W... (m>0.5) of Elliptic Equations with Mixed Derivatives.
On the convergence of difference schemes for the equation on generalized solutions of .
On the Convergence of Finite Difference Scheme for Elliptic Equation With Coefficients Containing Dirac Distribution
On the definition of the SUPG parameter.
On the dimension of -harmonic measure in space
Let , and let , be given. In this paper we study the dimension of -harmonic measures that arise from non-negative solutions to the -Laplace equation, vanishing on a portion of , in the setting of -Reifenberg flat domains. We prove, for , that there exists small such that if is a -Reifenberg flat domain with , then -harmonic measure is concentrated on a set of -finite -measure. We prove, for , that for sufficiently flat Wolff snowflakes the Hausdorff dimension of -harmonic measure...
On the Dirichlet problem for a degenerate elliptic equation
On the Dirichlet problem for linear elliptic equations in plane domains with corners
On the Dirichlet Problem for Semi-Linear Elliptic Equation with L2-Boundary Data.
On the economical solution method for a system of linear algebraic equations.
On the Efficient Solution of Nonlinear Finite Element Equations I.
On the efficient use of the Galerkin-method to solve Fredholm integral equations
In the present paper we describe, how to use the Galerkin-method efficiently in solving boundary integral equations. In the first part we show how the elements of the system matrix can be computed in a reasonable time by using suitable coordinate transformations. These techniques can be applied to a wide class of integral equations (including hypersingular kernels) on piecewise smooth surfaces in 3-D, approximated by spline functions of arbitrary degree. In the second part we show, how to use the...