Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

X Peng, E Atroshchenko, P Kerfriden… - Computer Methods in …, 2017 - Elsevier
We present a novel numerical method to simulate crack growth in 3D, directly from the
Computer-Aided Design (CAD) geometry of the component, without any mesh generation …

Mathematical foundations of adaptive isogeometric analysis

A Buffa, G Gantner, C Giannelli, D Praetorius… - … Methods in Engineering, 2022 - Springer
This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …

Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods

LL Chen, H Lian, Z Liu, HB Chen… - Computer Methods in …, 2019 - Elsevier
The boundary element method (BEM) is a powerful tool in computational acoustics, because
the analysis is conducted only on structural surfaces, compared to the finite element method …

An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states

DC Feng, XY Cao, M Beer - Probabilistic Engineering Mechanics, 2022 - Elsevier
In this paper, an enhanced probability density evolution method (PDEM) framework
considering multiple failure modes and limit states is proposed for reliability analysis of …

Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment

X Peng, E Atroshchenko, P Kerfriden… - International Journal of …, 2017 - Springer
We propose a method for simulating linear elastic crack growth through an isogeometric
boundary element method directly from a CAD model and without any mesh generation. To …

[HTML][HTML] An isogeometric boundary element method for three dimensional potential problems

YP Gong, CY Dong, XC Qin - Journal of Computational and Applied …, 2017 - Elsevier
Isogeometric analysis (IGA) coupled with boundary element method, ie IGABEM, received a
lot of attention in recent years. In this paper, we extend the IGABEM to solve 3D potential …

[HTML][HTML] An isogeometric boundary element method using adaptive integral method for 3D potential problems

YP Gong, CY Dong - Journal of Computational and Applied Mathematics, 2017 - Elsevier
Due to the merits of exact geometrical representation, high accuracy, no meshing process,
and only the boundary description of the problem etc., the isogeometric boundary element …

Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines

G Gantner, D Haberlik, D Praetorius - Mathematical Models and …, 2017 - World Scientific
We consider an adaptive algorithm for finite element methods for the isogeometric analysis
(IGAFEM) of elliptic (possibly non-symmetric) second-order partial differential equations in …

An adaptive IgA‐BEM with hierarchical B‐splines based on quasi‐interpolation quadrature schemes

A Falini, C Giannelli, T Kanduč… - International Journal …, 2019 - Wiley Online Library
The isogeometric formulation of the boundary element method (IgA‐BEM) is investigated
within the adaptivity framework. Suitable weighted quadrature rules to evaluate integrals …

Isogeometric boundary element methods and patch tests for linear elastic problems: Formulation, numerical integration, and applications

M Taus, GJ Rodin, TJR Hughes, MA Scott - Computer Methods in Applied …, 2019 - Elsevier
Abstract An Isogeometric Boundary Element Method for solving three-dimensional boundary-
value problems of classical linear elasticity theory is proposed. The method is developed as …