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[HTML][HTML] Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis
This work presents an efficient quadrature rule for shell analysis fully integrated in CAD by
means of Isogeometric Analysis (IGA). General CAD-models may consist of trimmed parts …
means of Isogeometric Analysis (IGA). General CAD-models may consist of trimmed parts …
Machine learning discovery of optimal quadrature rules for isogeometric analysis
T Teijeiro, JM Taylor, A Hashemian, D Pardo - Computer Methods in …, 2023 - Elsevier
We propose the use of machine learning techniques to find optimal quadrature rules for the
construction of stiffness and mass matrices in isogeometric analysis (IGA). We initially …
construction of stiffness and mass matrices in isogeometric analysis (IGA). We initially …
Goal-adaptive meshing of isogeometric Kirchhoff–Love shells
HM Verhelst, A Mantzaflaris, M Möller… - Engineering with …, 2024 - Springer
Mesh adaptivity is a technique to provide detail in numerical solutions without the need to
refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be …
refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be …
[HTML][HTML] Fast immersed boundary method based on weighted quadrature
B Marussig, R Hiemstra, D Schillinger - Computer Methods in Applied …, 2023 - Elsevier
Combining sum factorization, weighted quadrature, and row-based assembly enables
efficient higher-order computations for tensor product splines. We aim to transfer these …
efficient higher-order computations for tensor product splines. We aim to transfer these …
Fast formation and assembly for spline‐based 3D fictitious domain methods
B Marussig - PAMM, 2023 - Wiley Online Library
Standard finite element methods employ an element‐wise assembly strategy. The element's
contribution to the system matrix is formed by a loop over quadrature points. This concept is …
contribution to the system matrix is formed by a loop over quadrature points. This concept is …