Special Issue "Integration of Geometric Modeling and Numerical Simulation"

Submission Deadline: 31 December 2022
Submit to Special Issue
Guest Editors
Prof. Gang Xu, Hangzhou Dianzi University, China
Prof. Stéphane P. A Bordas, University of Luxembourg, Luxembourg
Prof. Xiaodong Wei, Shanghai Jiao Tong University, China


In the past decade, the integration of Geometric Modeling technology and Numerical Simulation method, such as the iso-geometric analysis and its variants, has been an active area of research, due to their advantages in many aspects such as high-order accuracy, consistent geometric data representation as well as efficient refinement operation. This integration not only provides powerful numerical simulation approaches for industrial applications, but also opens new research direction in the field of geometric modeling and computer graphics. This special issue focuses on the integration of geometric modeling methods and numerical analysis theory, while also addressing the application of this integration. In addition to the strong focus in isogeometric analysis and its engineering application, a special emphasis will be given to geometric modeling and mesh generation issues for numerical simulation.


Potential topics include, but are not limited to:

• Spline curve and surface modeling

• Trivariate volumetric modeling

• Subdivision surface/volumes

• Mesh generation for simulation

• High-order mesh generation

• Volumetric parameterization

• Analysis-suitable parameterization

• Analysis-suitable spline spaces

• Generalized iso-geometric analysis methods

• Refinement methods in iso-geometric analysis

• Numerical analysis of iso-geometric methods

• Fast iso-geometric solver

• Engineering application with iso-geometric analysis

• High-order finite element method for PDEs

• Meshless methods in computational mechanics

• Deep-learning methods in computational mechanics

• Iso-geometric boundary element methods

• Iso-geometric shape optimization methods

• Iso-geometric topology optimization methods

Geometric modeling; mesh generation, numerical simulation; isogeometric analysis; shape optimization; topology optimization