Special Issue "Recent Advance of the Isogeometric Boundary Element Method and its Applications"

Submission Deadline: 30 April 2022 (closed)
Guest Editors
Prof. Haojie Lian, Taiyuan University of Technology, China
Dr. Chensen Ding, University of Exeter, UK
Prof. Stéphane P.A. Bordas, University of Luxembourg, Luxembourg


The isogeometric boundary element method refers to the numerical simulation technique that employs the basis functions used for building Computer-Aided Design (CAD) models to discretize Boundary Integral Equations in Computer-Aided Engineering (CAE). The isogeometric boundary element method is based on boundary-representation like CAD, and thus it can immediately utilize the surface data of CAD models without volume parameterization. As such, the isogeometric boundary element method achieves closer integration of CAD and CAE compared to the isogeometric analysis in the context of the finite element method. Additionally, the isogeometric boundary element method inherits the advantages of conventional boundary element methods in infinite domain, moving boundary problems, etc. Since its inception, the isogeometric boundary element method has drawn extensive attention and exhibits its potential in computational mechanics. However, many issues remain unresolved in both method development and engineering applications. Therefore, we initiate this special issue on the recent developments, challenges and opportunities of the isogeometric boundary element method and its potential applications in different areas.


Topics of interest include but are not restricted to:

1. Novel CAD modeling techniques in isogeometric boundary element methods.

2. Advanced engineering applications using isogeometric boundary element methods.

3. Structural optimization and stochastic analysis with isogeometric boundary element methods.

4. Accelerating techniques for medium and large scale problems.

5. Coupling finite element and boundary element methods in the isogeometric analysis framework.

6. Complex geometries and industrial applications.

7. Error estimation and self-adaptive refinement in isogeometric boundary element methods.

8. Combination of isogeometric boundary element methods with machine learning techniques.

9. The isogeometric analysis combined with other types of dimensionality reduction methods.

Isogeometric analysis, Boundary element method, CAE, CAD, Dimensionality reduction

Published Papers

  • A Cell-Based Linear Smoothed Finite Element Method for Polygonal Topology Optimization
  • Abstract The aim of this work is to employ a modified cell-based smoothed finite element method (S-FEM) for topology optimization with the domain discretized with arbitrary polygons. In the present work, the linear polynomial basis function is used as the weight function instead of the constant weight function used in the standard S-FEM. This improves the accuracy and yields an optimal convergence rate. The gradients are smoothed over each smoothing domain, then used to compute the stiffness matrix. Within the proposed scheme, an optimum topology procedure is conducted over the smoothing domains. Structural materials are distributed over each smoothing domain and… More
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  • Isogeometric Analysis with Local Adaptivity for Vibration of Kirchhoff Plate
  • Abstract Based on our proposed adaptivity strategy for the vibration of Reissner–Mindlin plate, we develop it to apply for the vibration of Kirchhoff plate. The adaptive algorithm is based on the Geometry-Independent Field approximaTion (GIFT), generalized from Iso-Geometric Analysis (IGA), and it can characterize the geometry of the structure with NURBS (Non-Uniform Rational B-Splines), and independently apply PHT-splines (Polynomial splines over Hierarchical T-meshes) to achieve local refinement in the solution field. The MAC (Modal Assurance Criterion) is improved to locate unique, as well as multiple, modal correspondence between different meshes, in order to deal with error estimation. Local adaptivity is carried… More
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  • Noise Pollution Reduction through a Novel Optimization Procedure in Passive Control Methods
  • Abstract This paper proposes a novel optimization framework in passive control techniques to reduce noise pollution. The geometries of the structures are represented by Catmull-Clark subdivision surfaces, which are able to build gap-free Computer-Aided Design models and meanwhile tackle the extraordinary points that are commonly encountered in geometric modelling. The acoustic fields are simulated using the isogeometric boundary element method, and a density-based topology optimization is conducted to optimize distribution of sound-absorbing materials adhered to structural surfaces. The approach enables one to perform acoustic optimization from Computer-Aided Design models directly without needing meshing and volume parameterization, thereby avoiding the geometric errors… More
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  • Monte Carlo Simulation of Fractures Using Isogeometric Boundary Element Methods Based on POD-RBF
  • Abstract This paper presents a novel framework for stochastic analysis of linear elastic fracture problems. Monte Carlo simulation (MCs) is adopted to address the multi-dimensional uncertainties, whose computation cost is reduced by combination of Proper Orthogonal Decomposition (POD) and the Radial Basis Function (RBF). In order to avoid re-meshing and retain the geometric exactness, isogeometric boundary element method (IGABEM) is employed for simulation, in which the Non-Uniform Rational B-splines (NURBS) are employed for representing the crack surfaces and discretizing dual boundary integral equations. The stress intensity factors (SIFs) are extracted by M integral method. The numerical examples simulate several cracked structures… More
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