Adaptive fourth-order phase field analysis for brittle fracture

S Goswami, C Anitescu, T Rabczuk - Computer Methods in Applied …, 2020 - Elsevier
We present an adaptive h-refined fourth-order phase field model for studying fracture using
a hybrid-staggered solution scheme. The conventional fourth-order phase field model …

Polygonal surface processing and mesh generation tools for the numerical simulation of the cardiac function

M Fedele, A Quarteroni - International Journal for Numerical …, 2021 - Wiley Online Library
In order to simulate the cardiac function for a patient‐specific geometry, the generation of the
computational mesh is crucially important. In practice, the input is typically a set of …

Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization

G Xu, M Li, B Mourrain, T Rabczuk, J Xu… - Computer Methods in …, 2018 - Elsevier
In this paper, we propose a general framework for constructing IGA-suitable planar B-spline
parameterizations from given complex CAD boundaries. Instead of the computational …

A review article: isogeometric boundary element analysis in engineering applications

AM Shaaban - International Journal of Hydromechatronics, 2022 - inderscienceonline.com
Isogeometric analysis (IGA) in the framework of the boundary element method (BEM) is
reviewed in this paper. IGA is a fundamental tool in computational mechanics which enables …

Adaptive isogeometric topology optimization using PHT splines

A Gupta, B Mamindlapelly, PL Karuthedath… - Computer Methods in …, 2022 - Elsevier
This paper presents a novel adaptive isogeometric topology optimization methodology using
the Geometry Independent Field approximaTion (GIFT) framework for Polynomial splines …

Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes

C Anitescu, MN Hossain, T Rabczuk - Computer Methods in Applied …, 2018 - Elsevier
An adaptive higher-order method based on a generalization of polynomial/rational splines
over hierarchical T-meshes (PHT/RHT-splines) is introduced. While most problems …

On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration

Y Ji, K Chen, M Möller, C Vuik - Computer Aided Geometric Design, 2023 - Elsevier
Constructing an analysis-suitable parameterization for the computational domain from its
boundary representation plays a crucial role in the isogeometric design-through-analysis …

Adaptive phase field analysis with dual hierarchical meshes for brittle fracture

S Goswami, C Anitescu, T Rabczuk - Engineering Fracture Mechanics, 2019 - Elsevier
We present a novel dual-mesh based adaptive phase field method for solving fracture
problems. As the name suggests, the proposed scheme is solved using two meshes with …

Extended isogeometric analysis based on PHT‐splines for crack propagation near inclusions

N Nguyen‐Thanh, K Zhou - International Journal for Numerical …, 2017 - Wiley Online Library
Adaptive local refinement is one of the main issues for isogeometric analysis (IGA). In this
paper, an adaptive extended IGA (XIGA) approach based on polynomial splines over …

G1-smooth planar parameterization of complex domains for isogeometric analysis

M Pan, R Zou, W Tong, Y Guo, F Chen - Computer Methods in Applied …, 2023 - Elsevier
The construction of high-quality parameterizations for complex domains remains a
significant challenge in isogeometric analysis. To address this issue, we propose a G 1 …