Covolume techniques for anisotropic media.
Crank-Nicolson-Galerkin approximation of the periodic solutions of weakly nonlinear parabolic equations
Curve reconstruction from a set of measured points
In this article, a method of cubic spline curve fitting to a set of points passing at a prescribed distance from input points obtained by measurement on a coordinate measuring machine is described. When reconstructing the shape of measured object from the points obtained by real measurements, it is always necessary to consider measurement uncertainty (tenths to tens of micrometres). This uncertainty is not zero, therefore interpolation methods, where the resulting curve passes through the given...
Curved elements in a mixed finite element method close to the equilibrium model
Curved triangular finite -elements
Curved triangular -elements which can be pieced together with the generalized Bell’s -elements are constructed. They are applied to solving the Dirichlet problem of an elliptic equation of the order in a domain with a smooth boundary by the finite element method. The effect of numerical integration is studied, sufficient conditions for the existence and uniqueness of the approximate solution are presented and the rate of convergence is estimated. The rate of convergence is the same as in the...
Cusp forms and Hecke groups.
Daubechies wavelets on intervals with application to BVPs
In this paper, Daubechies wavelets on intervals are investigated. An analytic technique for evaluating various types of integrals containing the scaling functions is proposed; they are compared with classical techniques. Finally, these results are applied to two-point boundary value problems.
Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations
We present two defect correction schemes to accelerate the Petrov-Galerkin finite element methods [19] for nonlinear Volterra integro-differential equations. Using asymptotic expansions of the errors, we show that the defect correction schemes can yield higher order approximations to either the exact solution or its derivative. One of these schemes even does not impose any extra regularity requirement on the exact solution. As by-products, all of these higher order numerical methods can also be...
Defect Correction for Nonlinear Elliptic Difference Equations.
Defect correction methods for convection dominated convection-diffusion problems
Der Einfluß von Randsingularitäten beim Ritzschen Verfahren. - Solution Effects of the Ritz Method.
Dérivabilité de l'erreur par rapport à la triangulation dans les méthodes d'éléments finis
Determination of the initial stress tensor from deformation of underground opening in excavation process
A method for the detection of the initial stress tensor is proposed. The method is based on measuring distances between pairs of points located on the wall of underground opening in the excavation process. This methods is based on solving twelve auxiliary problems in the theory of elasticity with force boundary conditions, which is done using the least squares method. The optimal location of the pairs of points on the wall of underground openings is studied. The pairs must be located so that the...
Determination of the initial stress tensor from deformation of underground opening -- theoretical background and applications
In this paper a method for the detection of initial stress tensor is proposed. The method is based on measuring distances between some pairs of points located on the wall of underground opening in the excavation process. This methods is based on the solution of eighteen auxiliary problems in the theory of elasticity with force boundary conditions. The optimal location of the pairs of points on the wall of underground work is studied. The pairs must be located so that the condition number of a certain...
Determination of the Thickness and Composition Profiles for a Film of Binary Mixture on a Solid Substrate
We determine the steady-state structures that result from liquid-liquid demixing in a free surface film of binary liquid on a solid substrate. The considered model corresponds to the static limit of the diffuse interface theory describing the phase separation process for a binary liquid (model-H), when supplemented by boundary conditions at the free surface and taking the influence of the solid substrate into account. The resulting variational problem...
Deterministic multivariate model for simulation of downstream BIVAL automatic controller in irrigation systems.
Development of local, global, and trace estimates for the solutions of elliptic equations.
Diagonal swap procedures and characterizations of 2D-Delaunay triangulations
Die maximale Konsistenzordnung von Differenzenapproximationen nichtnegativer Art.
Die Mehrstellenformeln für den Laplaceoperator.