Mesh Free Methods: Moving Beyond the Finite Element Method

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Year: Volume: 7 Issue: 1 Page No.

Moving Beyond the Finite Element Method, Second Edition, 2nd Edition

Rokrok , H. Minuchehr and A. Abstract: Mesh free methods are applied in many new researches in the areas of approximation theory and numerical analysis as an alternative to the mesh based methods such as finite element and finite difference. The recent new developed mesh free methods have the advantage of not requiring a mesh of elements while providing comparable results to the other numerical method s.

In this study, a mesh free scheme based on the radial point interpolation method was used to solve the one dimensional neutron diffusion equation. The applied method uses the Galerkin weak form of the differential equations.


  1. Mesh Free Methods: Moving Beyond the Finite Element Method by G. R. Liu (Hardback, 2009)!
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Radial basis functions which are powerful functions in the field of function approximation, were used to construct the shape functions. Gauss quadrature scheme was applied in order to calculate the integrations of the weak form of the equations.

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The efficiency and accuracy of the method was evaluated through a number of examples. Shipped from UK. Established seller since Seller Inventory F More information about this seller Contact this seller. Brand new book, sourced directly from publisher. Dispatch time is working days from our warehouse.

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Meshfree Methods | Moving Beyond the Finite Element Method, Second Edition | Taylor & Francis Group

In Stock. Language: English. Brand new Book. To access MFree2D copyright, G. Liu directly Dr. Liu will reply to you directly with the code, and you can then proceed to use the software. Overall, the book is well-written, the figures and illustrations are very good, the list of references is quite comprehensive, and the subject index is useful. The overall impression of the book is somewhat diminished by a large number of inaccuracies, which were not detected in the proofs.

Some examples follow:.

As one sees from the pertinent Euler equations, the Lagrange multipliers are the support reactions. More importantly though, satisfying the geometric boundary conditions does not make the Lagrange multipliers themselves but the work produced by them zero. The heading of Section 6. The above notwithstanding, Mesh Free Methods: Moving Beyond the Finite Element Method is recommended for purchase to libraries and researchers who have a solid background in discretization methods and are interested in learning about mesh free methods.

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MESHFREE NUMERICAL SOLUTION OF TWO-PHASE FLOW THROUGH POROUS MEDIA

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  • Author and Article Information. GR Liu ,, Author. Mar , 56 2 : BB Published Online: March 4,