63 citations · 114 across the 15 of their papers we have counts for
8 papers · 1 filter
A comparison of smooth basis constructions for isogeometric analysis
H. M. Verhelst, P. Weinmüller, A. Mantzaflaris +2
In order to perform isogeometric analysis with increased smoothness on complex domains, trimming, variational coupling or unstructured spline methods can be used. The latter two cl…
Goal-Adaptive Meshing of Isogeometric Kirchhoff-Love Shells
H. M. Verhelst, A. Mantzaflaris, M. Möller +1
Mesh adaptivity is a technique to provide detail in numerical solutions without the need to refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be d…
An algebraic framework for geometrically continuous splines
Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar +1
Geometrically continuous splines are piecewise polynomial functions defined on a collection of patches which are stitched together through transition maps. They are called -…
Completeness characterization of Type-I box splines
Nelly Villamizar, Angelos Mantzaflaris, Bert Jüttler
We present a completeness characterization of box splines on three-directional triangulations, also called Type-I box spline spaces, based on edge-contact smoothness properties. Fo…
Isogeometric Simulation and Shape Optimization with Applications to Electrical Machines
Peter Gangl, Ulrich Langer, Angelos Mantzaflaris +1
Future e-mobility calls for efficient electrical machines. For different areas of operation, these machines have to satisfy certain desired properties that often depend on their de…
Mesh Grading in Isogeometric Analysis
Ulrich Langer, Angelos Mantzaflaris, Stephen E. Moore +1
This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuo…
On Isogeometric Subdivision Methods for PDEs on Surfaces
Bert Jüttler, Angelos Mantzaflaris, Ricardo Perl +1
Subdivision surfaces are proven to be a powerful tool in geometric modeling and computer graphics, due to the great flexibility they offer in capturing irregular topologies. This p…
Multipatch Discontinuous Galerkin Isogeometric Analysis
Ulrich Langer, Angelos Mantzaflaris, Stephen E. Moore +1
Isogeometric analysis (IgA) uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical appl…