Isogeometric analysis: an overview and computer implementation aspects

VP Nguyen, C Anitescu, SPA Bordas… - … and Computers in …, 2015 - Elsevier
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

A review of trimming in isogeometric analysis: challenges, data exchange and simulation aspects

B Marussig, TJR Hughes - Archives of computational methods in …, 2018 - Springer
We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

Meshfree methods: progress made after 20 years

JS Chen, M Hillman, SW Chi - Journal of Engineering Mechanics, 2017 - ascelibrary.org
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

[BUKU][B] Generalized locally Toeplitz sequences: theory and applications

C Garoni, S Serra-Capizzano - 2017 - Springer
Sequences of matrices with increasing size naturally arise in several contexts and especially
in the discretization of continuous problems, such as integral and differential equations. The …

Isogeometric boundary element analysis using unstructured T-splines

MA Scott, RN Simpson, JA Evans, S Lipton… - Computer Methods in …, 2013 - Elsevier
We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …

A two-dimensional isogeometric boundary element method for elastostatic analysis

RN Simpson, SPA Bordas, J Trevelyan… - Computer Methods in …, 2012 - Elsevier
The concept of isogeometric analysis, where functions that are used to describe geometry in
CAD software are used to approximate the unknown fields in numerical simulations, has …

Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

D Schillinger, JA Evans, A Reali, MA Scott… - Computer Methods in …, 2013 - Elsevier
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …

A large deformation, rotation-free, isogeometric shell

DJ Benson, Y Bazilevs, MC Hsu, TJR Hughes - Computer Methods in …, 2011 - Elsevier
Conventional finite shell element formulations use rotational degrees of freedom to describe
the motion of the fiber in the Reissner–Mindlin shear deformable shell theory, resulting in an …

Stabilized Lagrange interpolation collocation method: A meshfree method incorporating the advantages of finite element method

L Wang, M Hu, Z Zhong, F Yang - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Since most approximation functions in meshfree methods are rational functions which do not
possess the Kronecker delta property, how to achieve exact integration and accurately …

Contact treatment in isogeometric analysis with NURBS

I Temizer, P Wriggers, TJR Hughes - Computer Methods in Applied …, 2011 - Elsevier
We study NURBS-based isogeometric analysis of contact problems and compare with
standard C0-continuous Lagrange finite elements. A knot-to-surface (KTS) algorithm is …