Journal ArticleDOI
Simulation of Hyperthermia Treatment Using the Edge-Based Smoothed Finite-Element Method
TLDR
In this paper, an edge-based smoothed finite element method (ES-FEM) in 2D and face based smoothed FEM in 3D were presented to improve the accuracy of the FEM.Abstract:
Hyperthermia treatment is an effective tool of cancer therapy. The main feature of hyperthermia treatment is to use thermal energy to kill the cancer cells without minimum damage to surrounding tissue [1-3]. In such treatment, it is essential to predict the temperature distribution accurately for a given supply of heat at the cancer cells. In this article, an edge-based smoothed finite-element method (ES-FEM) in 2-D and face-based smoothed finite-element method (FS-FEM) in 3-D are presented to improve the accuracy of the finite-element method (FEM) without much change to the FEM setting. In the ES-FEM, the discretized equations are established using the smoothed Galerkin weak form with edge-based smoothing domains. Compared with the FEM that behaves overly-stiff, the ES-FEM model possesses a close-to-exact stiffness. Thus, ES-FEM can provide much more accurate result than the FEM using the same mesh. Numerical examples, including 2-D and 3-D of hyperthermia treatment have been analyzed using ES-FEM and FS...read more
Citations
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Journal ArticleDOI
Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments
Wei Zeng,Gui-Rong Liu +1 more
TL;DR: The smoothed finite element methods (S-FEM) as discussed by the authors are a family of methods formulated through carefully designed combinations of the standard FEM and some of the techniques from the mesh free methods.
Journal ArticleDOI
Hybrid smoothed finite element method for acoustic problems
TL;DR: In this article, the hybrid smoothed finite element method (HS-FEM) using triangular (2D) and tetrahedron (3D) elements that can be generated automatically for any complicated domain is formulated to solve acoustic problems.
Journal ArticleDOI
An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for thermomechanical problems
Eric Li,Zhicheng He,Xu Xu +2 more
TL;DR: In this paper, an edge-based smoothed tetrahedron finite element method (ES-T-FEM) was proposed to improve the accuracy of the finite element methods for three-dimensional thermomechanical problems.
Journal ArticleDOI
Numerical homogenization for incompressible materials using selective smoothed finite element method
TL;DR: In this article, a novel selective smoothed finite element method (S-FEM) in multi-material domain using triangular and tetrahedral elements is proposed to overcome the locking problem in the numerical homogenization of incompressible materials.
Journal ArticleDOI
3D mass-redistributed finite element method in structural–acoustic interaction problems
TL;DR: In this paper, the 3D mass-redistributed finite element method (MR-FEM) was further developed to solve more complicated structural-acoustic interaction problems, and the smoothed Galerkin weak form was adopted to formulate the discretized equations for the structure, and MR-FEMS was applied in acoustic domain.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Mesh Free Methods: Moving Beyond the Finite Element Method
TL;DR: In this paper, Galerkin et al. defined mesh-free methods for shape function construction, including the use of mesh-less local Petrov-Galerkin methods.
Book
An Introduction to Meshfree Methods and Their Programming
Gui-Rong Liu,YuanTong Gu +1 more
TL;DR: This book provides first the fundamentals of numerical analysis that are particularly important to meshfree methods, and provides most of the basic meshfree techniques, and can be easily extended to other variations of more complex procedures of mesh free methods.
Journal ArticleDOI
An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids
TL;DR: In this paper, an edge-based smoothed finite element method (ES-FEM) was proposed to improve the accuracy of the FEM without much changing to the standard FEM settings.
Journal ArticleDOI
Biological effects of electromagnetic fields
TL;DR: Modulation of cell surface chemical events by weak EM fields indicates a major amplification of initial weak triggers associated with binding of hormones, antibodies, and neurotransmitters to their specific binding sites, and these studies support new concepts of communication between cells across the barriers of cell membranes.
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