This paper presents an adaptive cross approximation (ACA) accelerated Isogeometric Boundary Element Method (IBEM) using Non-Uniform Rational B-Splines (NURBS) as shape and interpolation functions. Provided that NURBS are used in CAD programs to describe geometry, the mesh generation in the IBEM is no longer necessary. For large and complex models the traditional BEM quickly becomes very time and memory consuming and, to overcome this problem, the use of ACA is considered in this paper. Mesh generation is also found to be one of the most time consuming tasks in numerical simulations, therefore the coupling between ACA and IBEM is very promising. Numerical examples are presented in order to assess the accuracy and feasibility of the method
peer reviewedThe focus of this paper is the description and numerical validation of a computational ...
This work presents two fast isogeometric formulations of the Boundary Element Method (BEM) applied t...
This paper proposes a novel boundary element approach formulated on the Bézier-Bernstein basis to yi...
This paper presents an Adaptive Cross Approximation (ACA) accelerated Isogeometric Boundary Element ...
The concept of isogeometric analysis, where functions that are used to describe geometry in CAD soft...
peer reviewedThe concept of isogeometric analysis, where functions that are used to describe geometr...
peer reviewedWe couple collocated isogeometric boundary element methods and unstructured analysis-su...
The concept of isogeometric analysis, where functions that are used to describe geometry in CAD soft...
peer reviewedThe concept of isogeometric analysis, whereby the parametric functions that are used to...
Data transmission between finite element analysis (FEA) and computer-aided design (CAD) is ahuge bot...
The present thesis addresses shape sensitivity analysis and optimization in linear elasticity with ...
Isogeometric Analysis has the potential to achieve efficient integration of CAD and Finite Element A...
Key Words: isogeometric analysis; IGABEM; shape sensitivity; shape optimisation This paper applies a...
We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to c...
We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requi...
peer reviewedThe focus of this paper is the description and numerical validation of a computational ...
This work presents two fast isogeometric formulations of the Boundary Element Method (BEM) applied t...
This paper proposes a novel boundary element approach formulated on the Bézier-Bernstein basis to yi...
This paper presents an Adaptive Cross Approximation (ACA) accelerated Isogeometric Boundary Element ...
The concept of isogeometric analysis, where functions that are used to describe geometry in CAD soft...
peer reviewedThe concept of isogeometric analysis, where functions that are used to describe geometr...
peer reviewedWe couple collocated isogeometric boundary element methods and unstructured analysis-su...
The concept of isogeometric analysis, where functions that are used to describe geometry in CAD soft...
peer reviewedThe concept of isogeometric analysis, whereby the parametric functions that are used to...
Data transmission between finite element analysis (FEA) and computer-aided design (CAD) is ahuge bot...
The present thesis addresses shape sensitivity analysis and optimization in linear elasticity with ...
Isogeometric Analysis has the potential to achieve efficient integration of CAD and Finite Element A...
Key Words: isogeometric analysis; IGABEM; shape sensitivity; shape optimisation This paper applies a...
We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to c...
We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requi...
peer reviewedThe focus of this paper is the description and numerical validation of a computational ...
This work presents two fast isogeometric formulations of the Boundary Element Method (BEM) applied t...
This paper proposes a novel boundary element approach formulated on the Bézier-Bernstein basis to yi...