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8 papers · 2 filters
The Argyris isogeometric space on unstructured multi-patch planar domains
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
Multi-patch spline parametrizations are used in geometric design and isogeometric analysis to represent complex domains. We deal with a particular class of planar multi-patch…
Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations
Stefan Takacs
In recent publications, the author and his coworkers have shown robust approximation error estimates for B-splines of maximum smoothness and have proposed multigrid methods based o…
Dimension and basis construction for -smooth isogeometric spline spaces over bilinear-like two-patch parameterizations
Mario Kapl, Vito Vitrih
A particular class of planar two-patch geometries, called bilinear-like two-patch geometries, is introduced. This class includes the subclass of all bilinear two-patch para…
Construction of analysis-suitable planar multi-patch parameterizations
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
Isogeometric analysis allows to define shape functions of global continuity (or of higher continuity) over multi-patch geometries. The construction of such -smooth i…
Lattice rules with random achieve nearly the optimal error independently of the dimension
Peter Kritzer, Frances Y. Kuo, Dirk Nuyens +1
We analyze a new random algorithm for numerical integration of -variate functions over from a weighted Sobolev space with dominating mixed smoothness and prod…
Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
Christoph Hofer, Ulrich Langer, Stefan Takacs
In this paper, we investigate inexact variants of dual-primal isogeometric tearing and interconnecting methods for solving large-scale systems of linear equations arising from Gale…