This paper analyzes the approximation properties of spaces of piecewise tensor product polynomials over box meshes with a focus on application to isogeometric analysis. Local and global error bounds with respect to Sobolev or reduced seminorms are provided. Attention is also paid to the dependence on the degree, and exponential convergence is proved for the approximation of analytic functions in the absence of non-convex extended supports
In this paper we provide a priori error estimates with explicit constants for both the L2-projection...
Given an arbitrary function in H(div), we show that the error attained by the global-best approxima...
We study nonlinear $n$-term approximation in $L_p({mathbb R}^2)$ ($0<pleinfty$) from hierarchical se...
This paper analyzes the approximation properties of spaces of piecewise tensor product polynomials o...
In this paper we compare the approximation properties of degree p spline spaces with different numbe...
Approximation of a smooth function f on a rectangular domain Ω⊂El by a tensor product of splines of ...
Recently a new approach to piecewise polynomial spaces generated by B-spline has been presented by T...
Motivated by conforming finite element methods for elliptic problems of second order, we analyze the...
In this paper, we provide a priori error estimates in standard Sobolev (semi-)norms for approximatio...
International audienceWe derive results on equivalence of piecewise polynomial approximations of a g...
Abstract. We develop a constructive piecewise polynomial approximation theory in weighted Sobolev sp...
This thesis addresses an adaptive higher-order method based on a Geometry Independent Field approxim...
In this note we look at anisotropic approximation of smooth functions on bounded domains with tensor...
AbstractLet Δ denote the triangulation of the plane obtained by multi-integer translates of the four...
Abstract. We develop a constructive piecewise polynomial approximation theory in weighted Sobolev sp...
In this paper we provide a priori error estimates with explicit constants for both the L2-projection...
Given an arbitrary function in H(div), we show that the error attained by the global-best approxima...
We study nonlinear $n$-term approximation in $L_p({mathbb R}^2)$ ($0<pleinfty$) from hierarchical se...
This paper analyzes the approximation properties of spaces of piecewise tensor product polynomials o...
In this paper we compare the approximation properties of degree p spline spaces with different numbe...
Approximation of a smooth function f on a rectangular domain Ω⊂El by a tensor product of splines of ...
Recently a new approach to piecewise polynomial spaces generated by B-spline has been presented by T...
Motivated by conforming finite element methods for elliptic problems of second order, we analyze the...
In this paper, we provide a priori error estimates in standard Sobolev (semi-)norms for approximatio...
International audienceWe derive results on equivalence of piecewise polynomial approximations of a g...
Abstract. We develop a constructive piecewise polynomial approximation theory in weighted Sobolev sp...
This thesis addresses an adaptive higher-order method based on a Geometry Independent Field approxim...
In this note we look at anisotropic approximation of smooth functions on bounded domains with tensor...
AbstractLet Δ denote the triangulation of the plane obtained by multi-integer translates of the four...
Abstract. We develop a constructive piecewise polynomial approximation theory in weighted Sobolev sp...
In this paper we provide a priori error estimates with explicit constants for both the L2-projection...
Given an arbitrary function in H(div), we show that the error attained by the global-best approxima...
We study nonlinear $n$-term approximation in $L_p({mathbb R}^2)$ ($0<pleinfty$) from hierarchical se...
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