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 …

Isogeometric contact: a review

L De Lorenzis, P Wriggers, TJR Hughes - GAMM‐Mitteilungen, 2014 - Wiley Online Library
This paper reviews the currently available computational contact formulations within the
framework of isogeometric analysis (IGA). As opposed to conventional Lagrange …

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 …

An extended isogeometric thin shell analysis based on Kirchhoff–Love theory

N Nguyen-Thanh, N Valizadeh, MN Nguyen… - Computer Methods in …, 2015 - Elsevier
An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

[KNIHA][B] The mimetic finite difference method for elliptic problems

LB da Veiga, K Lipnikov, G Manzini - 2014 - books.google.com
This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

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 …

Mimetic finite difference method

K Lipnikov, G Manzini, M Shashkov - Journal of Computational Physics, 2014 - Elsevier
The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …

Virtual element methods for plate bending problems

F Brezzi, LD Marini - Computer Methods in Applied Mechanics and …, 2013 - Elsevier
We discuss the application of Virtual Elements to linear plate bending problems, in the
Kirchhoff–Love formulation. As we shall see, in the Virtual Element environment the …

The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches

J Kiendl, Y Bazilevs, MC Hsu, R Wüchner… - Computer Methods in …, 2010 - Elsevier
In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …

Local refinement of analysis-suitable T-splines

MA Scott, X Li, TW Sederberg, TJR Hughes - Computer Methods in Applied …, 2012 - Elsevier
We develop a local refinement algorithm for analysis-suitable T-splines which does not
produce excessive propagation of control points. We then demonstrate its use as an …