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 …
Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods
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 …
the analysis is conducted only on structural surfaces, compared to the finite element method …
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 …
Isogeometric boundary elements in electromagnetism: rigorous analysis, fast methods, and examples
We analyze a new approach to three-dimensional electromagnetic scattering problems via
fast isogeometric boundary element methods. Starting with an investigation of the theoretical …
fast isogeometric boundary element methods. Starting with an investigation of the theoretical …
[HTML][HTML] Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation
In this article, we present Bembel, the C++ library featuring higher order isogeometric
Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems. Bembel …
Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems. Bembel …
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 …
A framework of shape optimisation based on the isogeometric boundary element method toward designing thin-silicon photovoltaic devices
T Takahashi, T Yamamoto, Y Shimba, H Isakari… - Engineering with …, 2019 - Springer
We propose a gradient-based optimisation framework to design the shape of the interfaces
in periodic layered structures, which can model photovoltaic devices, optical gratings, etc …
in periodic layered structures, which can model photovoltaic devices, optical gratings, etc …