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Approximation of doubly curved surfaces by analysis-suitable piecewise surfaces with high developability
Felix Scholz, Soma Nishikawa, Masahito Takezawa, Takashi Maekawa
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Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension
Hierarchical B-splines, which possess the local refinement capability, have been recognized as a useful tool in the context of …
Maodong Pan, Bert Jüttler, Felix Scholz
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Locally refined quad meshing for linear elasticity problems based on convolutional neural networks
Chiu Ling Chan, Felix Scholz, Thomas Takacs
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Accurate High-Order Derivatives of Geodesic Paths on Smooth Surfaces
Felix Scholz, Takashi Maekawa
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Parameterization for polynomial curve approximation via residual deep neural networks
Finding the optimal parameterization for fitting a given sequence of data points with a parametric curve is a challenging problem that …
Felix Scholz, Bert Jüttler
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Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains
Felix Scholz, Bert Jüttler
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Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients
Angelos Mantzaflaris, Felix Scholz, Ioannis Toulopoulos
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Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces
We present a novel technique for the numerical integration of trivariate functions on trimmed domains. In our setting, we assume that …
Felix Scholz, Bert Jüttler
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Partial tensor decomposition for decoupling isogeometric Galerkin discretizations
Felix Scholz, Angelos Mantzaflaris, Bert Jüttler
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