Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Geometric modeling with splines: an introduction
Geometric modeling with splines: an introduction
Error estimates for the web-Spline method
Mathematical Methods for Curves and Surfaces
Weighted Extended B-Spline Approximation of Dirichlet Problems
SIAM Journal on Numerical Analysis
Finite Element Methods with B-Splines
Finite Element Methods with B-Splines
Stability of tensor product B-splines on domains
Journal of Approximation Theory
Constructing A-spline weight functions for stable WEB-spline finite element methods
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Adaptive discontinuous Galerkin B-splines on parametric geometries
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part IV
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The construction of weighted extended B-splines (web-splines), as recently introduced by the authors and J. Wipper for uniform knot sequences, is generalized to the nonuniform case. We show that web-splines form a stable basis for splines on arbitrary domains in Rm which provides optimal approximation power. Moreover, homogeneous boundary conditions, as encountered frequently in finite element applications, can be satisfied exactly by using an appropriate weight function. To illustrate the performance of the method, it is applied to a scattered data fitting problem and a finite element approximation of an elliptic boundary value problem.