The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …

The radial point interpolation method (RPIM) is combined with the appropriate implicit time
integration technique for transient wave propagation analysis in this work. The dispersion …

In the earlier paper, it is known that the solution accuracy usually can not be monotonically
increased as the temporal discretization interval decreases when the standard finite element …

For high wave numbers, the Helmholtz equation suffers the so‐called 'pollution effect'. This
effect is directly related to the dispersion. A method to measure the dispersion on any …

To improve the accuracy of the standard finite element (FE) solutions for acoustic radiation
computation, this work presents the coupling of a radial point interpolation method (RPIM) …

It has been known that numerical solutions to Helmholtz problems obtained using several
numerical methodologies (eg finite element approach) are always plagued by the pollution …

It is well known that the standard finite element method (FEM) is unreliable to solve acoustic
problems governed by the Helmholtz equation with large wave numbers due to the “overly …

Over the last decade, Computer Aided Engineering (CAE) tools have become essential in
the assessment and optimization of the acoustic characteristics of products and processes …