Special Issue "Advances on Mesh and Dimension Reduction Methods"

Submission Deadline: 30 September 2022
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Guest Editors
Prof. Leiting Dong, Beihang University, China
Prof. Zhuojia Fu, Hohai University, China
Dr. Elena Atroshchenko, University of New South Wales, Australia
Prof. Mingjing Li, Beihang University, China


Numerical simulation methods have been increasingly used as important and powerful tools for solving science and engineering problems during the past decades, thanks to the rapid development of advanced algorithms and computer technology. Nowadays, as the problems to be solved are becoming larger in scale and more complex in mathematical descriptions, conventional mesh-based finite element and finite volume methods have encountered significant difficulties. Alternatively, a large number of meshless and mesh/dimension reduction methods have been developed.


Besides avoiding or reducing the domain discretization using volume elements, these methods have exhibited advantages for various types of problems. For example, boundary element method is advantageous for the modeling of physics in infinitely-large domains and problems involving degenerate/moving boundaries, meshless methods are very useful for solving large deformation problems, and particle methods are powerful in solving extreme fluid dynamic problems. Due to their unique features, these methods have attracted great attention and been applied successfully in many fields of science and engineering, e.g. fluid dynamics, fracture mechanics, electromagnetic waves, etc.


You are invited to submit original research papers or review papers to this special issue with subjects covering the entire range from theory to application of mesh and dimension reduction methods. Topics of interest include but are not restricted to:


-      Boundary element method

-      Element-free Galerkin method

-      Meshless local Petrov Galerkin method

-      Smoothed particle hydrodynamics

-      Material point method

-      Boundary-type meshless methods

-      Generalized finite difference method

-      Collocation meshless method

-      Peridynamics

-      Fragile Points Method

-      Isogeometric Method

-      Combination of different methods

-      Advanced implementation of mesh reduction methods

-      Application of mesh reduction methods in realistic applications

Boundary element method; Meshless method; Particle method; Isogeometric method; Complex science and engineering problems.