3 papers
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.NA2020
Immersed Boundary-Conformal Isogeometric Method for Linear Elliptic Problems
Xiaodong Wei, Benjamin Marussig, Pablo Antolin +1
We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a si…
math.NA2019
A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells
Pablo Antolin, Annalisa Buffa, Luca Coradello
This work focuses on the development of a posteriori error estimates for fourth-order, elliptic, partial differential equations. In particular, we propose a novel algorithm to stee…