All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 42 Next

Displaying 821 – 840 of 1092

Showing per page

Relation between algebraic and geometric view on NURBS tensor product surfaces

Dalibor Martišek, Jana Procházková (2010)

Applications of Mathematics

NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on NURBS.

RTIN-based strategies for local mesh refinement

Kolcun, Alexej, Sysala, Stanislav (2021)

Programs and Algorithms of Numerical Mathematics

Longest-edge bisection algorithms are often used for local mesh refinements within the finite element method in 2D. In this paper, we discuss and describe their conforming variant. A particular attention is devoted to the so-called Right-Triangulated Irregular Network (RTIN) based on isosceles right triangles and its tranformation to more general domains. We suggest to combine RTIN with a balanced quadrant tree (QuadTree) decomposition. This combination does not produce hanging nodes within the...

Several notes on the circumradius condition

Václav Kučera (2016)

Applications of Mathematics

Recently, the so-called circumradius condition (or estimate) was derived, which is a new estimate of the W 1 , p -error of linear Lagrange interpolation on triangles in terms of their circumradius. The published proofs of the estimate are rather technical and do not allow clear, simple insight into the results. In this paper, we give a simple direct proof of the p = ∞ case. This allows us to make several observations such as on the optimality of the circumradius estimate. Furthermore, we show how the case...

Currently displaying 821 – 840 of 1092