The famous square plate with a circular hole in the center and crack problem are solved as benchmark problems in the MFree2D package developed by Liu and co-workers. See the following site for download and examples.
I'm sure in the literature you can find many boundary value problems solved using meshfree techniques. One example in geomechanics is given by
Zhang et al, . A meshfree method and its applications to elastoplastic problems, J Zhejiang Univ SCI 2005 6A(2): 148-154
If you're a developer and looking for a development code for meshfree Tahoe(Sandia National Lab research code that includes finite element, particle and meshfree methods) is one of the available codes. Some benchmark problems are solved. See
I think that the previous comments highlight the difficulties involved in learing a new method, without access to a knowledgeable person/expert in that particular method.
I think that there is a need for a book (maybe even open source book), that deals with numerical methods in one dimension, without being rigorous. The target reader of this book would be someone who has a basic knowledge (1 graduate course) of finite differences or finite elements.
For example, to solve a P.D.E., there is finite differences, finite elements, stabilized finite elements, multiscale finite elements, adaptive (hp) finite eleemnt methods, meshless methods (Element free Galerkin, Finite Spheres, Local Petrov Galerkin (?),), Material Point Method, and many many more. Each of these methods has its own advantages / disadvantages, with no real silver bullet.
If one is not devoted to full time research on these methods, it is hard to find the itme to read and understand the original papers. It would be very nice to have something of this sort: a recipe book, if you will for the solution of P.D.E.'s Something along the lines of Jack Dongarra's book Templates for the Solution of Linear System would be very nice.
Perhaps this could be a collaboration project for imechanica readers: We could all edit a single common LaTeX file and create such a template, not more than 50 pages with, approximately 2 pages per numerical mathod.
some 2D meshfree examples
Hi Muhammad,
The famous square plate with a circular hole in the center and crack problem are solved as benchmark problems in the MFree2D package developed by Liu and co-workers. See the following site for download and examples.
http://www.nus.edu.sg/ACES/software/meshless2D/webfiles/webpageMFree.ht…;
I'm sure in the literature you can find many boundary value problems solved using meshfree techniques. One example in geomechanics is given by
Zhang et al, . A meshfree method and its applications to elastoplastic problems, J Zhejiang Univ SCI 2005 6A(2): 148-154
If you're a developer and looking for a development code for meshfree Tahoe(Sandia National Lab research code that includes finite element, particle and meshfree methods) is one of the available codes. Some benchmark problems are solved. See
http://tahoe.cvs.sourceforge.net/tahoe/benchmark_XML/level.0/meshfree/
I hope this helps a bit. I'm sure other meshfree folks can be of more help than me.
Good luck exploring the meshfree world!
Karma
finite element analysis
plz send the material for finite element analysis
hi karma
hi
the link you have provided it is not working. give some other references such that we can get some solved examples of mesh free .
thank you
Simple examples of numerical methods
I think that the previous comments highlight the difficulties involved in learing a new method, without access to a knowledgeable person/expert in that particular method.
I think that there is a need for a book (maybe even open source book), that deals with numerical methods in one dimension, without being rigorous. The target reader of this book would be someone who has a basic knowledge (1 graduate course) of finite differences or finite elements.
For example, to solve a P.D.E., there is finite differences, finite elements, stabilized finite elements, multiscale finite elements, adaptive (hp) finite eleemnt methods, meshless methods (Element free Galerkin, Finite Spheres, Local Petrov Galerkin (?),), Material Point Method, and many many more. Each of these methods has its own advantages / disadvantages, with no real silver bullet.
If one is not devoted to full time research on these methods, it is hard to find the itme to read and understand the original papers. It would be very nice to have something of this sort: a recipe book, if you will for the solution of P.D.E.'s Something along the lines of Jack Dongarra's book Templates for the Solution of Linear System would be very nice.
Perhaps this could be a collaboration project for imechanica readers: We could all edit a single common LaTeX file and create such a template, not more than 50 pages with, approximately 2 pages per numerical mathod.
-Amit