51 citations · 180 across the 8 of their papers we have counts for
8 papers
Multilevel T-spline Approximation for Scattered Observations with Application to Land Remote Sensing
Gaël Kermarrec, Philipp Morgenstern
In this contribution, we introduce a multilevel approximation method with T-splines for fitting scattered point clouds iteratively, with an application to land remote sensing. This…
Multivariate analysis-suitable T-splines of arbitrary degree
Robin Görmer, Philipp Morgenstern
This paper defines analysis-suitable T-splines for arbitrary degree (including even and mixed degrees) and arbitrary dimension. We generalize the concept of anchor elements known f…
Adaptive Refinement for Unstructured T-Splines with Linear Complexity
Roland Maier, Philipp Morgenstern, Thomas Takacs
We present an adaptive refinement algorithm for T-splines on unstructured 2D meshes. While for structured 2D meshes, one can refine elements alternatingly in horizontal and vertica…
Adaptive Mesh Refinement Strategies in Isogeometric Analysis - A Computational Comparison
Paul Hennig, Markus Kästner, Philipp Morgenstern +1
We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Trun…
Complexity of hierarchical refinement for a class of admissible mesh configurations
Annalisa Buffa, Carlotta Giannelli, Philipp Morgenstern +1
An adaptive isogeometric method based on -variate hierarchical spline constructions can be derived by considering a refine module that preserves a certain class of admissibility…
Globally structured 3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement
Philipp Morgenstern
This paper addresses the linear independence of T-splines that correspond to refinements of three-dimensional tensor-product meshes. We give an abstract definition of analysis-suit…
Analysis-suitable adaptive T-mesh refinement with linear complexity
Philipp Morgenstern, Daniel Peterseim
We present an efficient adaptive refinement procedure that preserves analysis-suitability of the T-mesh, this is, the linear independence of the T-spline blending functions. We pro…
Multiscale Partition of Unity
Daniel Peterseim, Patrick Henning, Philipp Morgenstern
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to…