[HTML][HTML] Mathematical foundations of adaptive isogeometric analysis
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 …
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …
Adaptive isogeometric methods with hierarchical splines: an overview
We consider an adaptive isogeometric method (AIGM) based on (truncated) hierarchical B-
splines and present the study of its numerical properties. By following [10, 12, 11], optimal …
splines and present the study of its numerical properties. By following [10, 12, 11], optimal …
Structural shape optimization by IGABEM and particle swarm optimization algorithm
SH Sun, TT Yu, TT Nguyen, E Atroshchenko… - … Analysis with Boundary …, 2018 - Elsevier
In this paper, a new approach is developed for structural shape optimization, which consists
in coupling the particle swarm optimization (PSO) algorithm and the isogeometric boundary …
in coupling the particle swarm optimization (PSO) algorithm and the isogeometric boundary …
Implementation of isogeometric boundary element method for 2-D steady heat transfer analysis
In this paper, the recently developed hybrid numerical method based on isogeometric
analysis (IGA) and boundary element method (BEM), named as IGABEM, is further extended …
analysis (IGA) and boundary element method (BEM), named as IGABEM, is further extended …
[HTML][HTML] An isogeometric boundary element method for three dimensional potential problems
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 …
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
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 …
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 …
(IGAFEM) of elliptic (possibly non-symmetric) second-order partial differential equations in …
A natural framework for isogeometric fluid–structure interaction based on BEM–shell coupling
The interaction between thin structures and incompressible Newtonian fluids is ubiquitous
both in nature and in industrial applications. In this paper we present an isogeometric …
both in nature and in industrial applications. In this paper we present an isogeometric …
An adaptive IgA‐BEM with hierarchical B‐splines based on quasi‐interpolation quadrature schemes
The isogeometric formulation of the boundary element method (IgA‐BEM) is investigated
within the adaptivity framework. Suitable weighted quadrature rules to evaluate integrals …
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
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 …
value problems of classical linear elasticity theory is proposed. The method is developed as …