An optimally convergent smooth blended B-spline construction for semi-structured quadrilateral and hexahedral meshes

Easy to construct and optimally convergent generalisations of B-splines to unstructured meshes are essential for the application of isogeometric analysis to domains with non-trivial topologies. Nonetheless, especially for hexahedral meshes, the construction of smooth and optimally convergent isogeometric analysis basis functions is still an...

Isogeometric discrete differential forms: Non-uniform degrees, Bezier extraction, polar splines and flows on surfaces: Non-uniform degrees, Bézier extraction, polar splines and flows on surfaces

Spaces of discrete differential forms can be applied to numerically solve the partial differential equations that govern phenomena such as electromagnetics and fluid mechanics. Robustness of the resulting numerical methods is complemented by pointwise satisfaction of conservation laws (e.g., mass conservation) in the discrete setting. Here we...

Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension

Polynomial splines are ubiquitous in the fields of computer-aided geometric design and computational analysis. Splines on T-meshes, especially, have the potential to be incredibly versatile since local mesh adaptivity enables efficient modeling and approximation of local features. Meaningful use of such splines for modeling and approximation...

Residential Real Estate, Risk, Return and Home Characteristics: Evidence from Sydney 2002-14

While residential real estate is a key component of household wealth little is known about the investment characteristics of different types of properties. This paper outlines and applies a methodology for examining the variation in risk and return of individual homes. We use large data sets of home prices and rents for Sydney, Australia, from...

Smoothie: A model for linearity optimization of FET devices in RF applications