Abstract
Combining sum factorization, weighted quadrature, and row-based assembly enables efficient higher-order computations for tensor product splines. We aim to transfer these concepts to immersed boundary methods, which perform simulations on a regular background mesh cut by a boundary representation that defines the domain of interest. Therefore, we present a novel concept to divide the support of cut basis functions to obtain regular parts suited for sum factorization. These regions require special discontinuous weighted quadrature rules, while Gauss-like quadrature rules integrate the remaining support. Two linear elasticity benchmark problems confirm the derived estimate for the computational costs of the different integration routines and their combination. Although the presence of cut elements reduces the speed-up, its contribution to the overall computation time declines with h-refinement.
Original language | English |
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Article number | 116397 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 417 |
Early online date | 5 Sept 2023 |
DOIs | |
Publication status | Published - 15 Dec 2023 |
Keywords
- Embedded domain method
- Fast formation and assembly
- Fictitious domain method
- Finite cell method
- Isogeometric analysis
- Trimmed domains
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications
- Computational Mechanics