63 citations · 114 across the 15 of their papers we have counts for
15 papers
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 -…
Spirometry-based airways disease simulation and recognition using Machine Learning approaches
Riccardo Dio, André Galligo, Angelos Mantzaflaris +1
The purpose of this study is to provide means to physicians for automated and fast recognition of airways diseases. In this work, we mainly focus on measures that can be easily rec…
Koszul-type determinantal formulas for families of mixed multilinear systems
Matías R. Bender, Jean-Charles Faugère, Angelos Mantzaflaris +1
Effective computation of resultants is a central problem in elimination theory and polynomial system solving. Commonly, we compute the resultant as a quotient of determinants of ma…
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…
Punctual Hilbert Schemes and Certified Approximate Singularities
Angelos Mantzaflaris, Bernard Mourrain, Agnes Szanto
In this paper we provide a new method to certify that a nearby polynomial system has a singular isolated root with a prescribed multiplicity structure. More precisely, given a poly…
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…
Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors
Matías Bender, Jean-Charles Faugère, Angelos Mantzaflaris +1
A fundamental problem in computational algebraic geometry is the computation of the resultant. A central question is when and how to compute it as the determinant of a matrix. whos…
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…
Deflation and Certified Isolation of Singular Zeros of Polynomial Systems
Angelos Mantzaflaris, Bernard Mourrain
We develop a new symbolic-numeric algorithm for the certification of singular isolated points, using their associated local ring structure and certified numerical computations. An…
Continued Fraction Expansion of Real Roots of Polynomial Systems
Angelos Mantzaflaris, Bernard Mourrain, Elias P. P. Tsigaridas
We present a new algorithm for isolating the real roots of a system of multivariate polynomials, given in the monomial basis. It is inspired by existing subdivision methods in the…
Multihomogeneous Resultant Formulae for Systems with Scaled Support
Ioannis Z. Emiris, Angelos Mantzaflaris
Constructive methods for matrices of multihomogeneous (or multigraded) resultants for unmixed systems have been studied by Weyman, Zelevinsky, Sturmfels, Dickenstein and Emiris. We…