Computer Aided Geometric Design
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach
SIAM Journal on Numerical Analysis
A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
Journal of Computational and Applied Mathematics
Convergence of continuous approximations for discontinuous ODEs
Applied Numerical Mathematics
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We consider several possibilities on how to select a Filippov sliding vector field on a codimension 2 singularity surface @S, intersection of two codimension 1 surfaces. We discuss and compare several, old and new, approaches, under the assumption that @S is nodally attractive. Of specific interest is the selection of a smoothly varying Filippov sliding vector field. As a result of our analysis and experiments, the best candidates of the many possibilities explored are those based on the so-called barycentric coordinates. In the present context, one of these possibilities appear to be new.