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math.NA2021
Fast and Multiscale Formation of Isogeometric matrices of Microstructured Geometric Models
Thibaut Hirschler, Pablo Antolin, Annalisa Buffa
The matrix formation associated to high-order discretizations is known to be numerically demanding. Based on the existing procedure of interpolation and lookup, we design a multisc…
math.NA2021
Quadrature-free Immersed Isogeometric Analysis
Pablo Antolin, Thibaut Hirschler
This paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not requ…