21 citations · 53 across the 11 of their papers we have counts for
5 papers · 2 filters
Approximation by Splines on Piecewise Conic Domains
Oleg Davydov, Wee Ping Yeo
We develop a Hermite interpolation scheme and prove error bounds for bivariate piecewise polynomial spaces of Argyris type vanishing on the boundary of curved domains enclose…
Optimal Stencils in Sobolev Spaces
Oleg Davydov, Robert Schaback
This paper proves that the approximation of pointwise derivatives of order of functions in Sobolev space by linear combinations of function values cannot have a c…
Minimal Numerical Differentiation Formulas
Oleg Davydov, Robert Schaback
We investigate numerical differentiation formulas on irregular centers in two or more variables that are exact for polynomials of a given order and minimize an absolute seminorm of…
Adaptive RBF-FD Method for Elliptic Problems with Point Singularities in 2D
Dang Thi Oanh, Oleg Davydov, Hoang Xuan Phu
We describe and test numerically an adaptive meshless generalized finite difference method based on radial basis functions that competes well with the finite element method on stan…
Quintic Splines on Domains Enclosed by Piecewise Conics and Numerical Solution of Fully Nonlinear Elliptic Equations
Oleg Davydov, Abid Saeed
We introduce bivariate piecewise quintic finite element spaces for curved domains enclosed by piecewise conics satisfying homogeneous boundary conditions, construct local bas…