Presentation given as supporting slides for the course at IIT Madras
http://hdl.handle.net/10993/27979
http://orbilu.uni.lu/bitstream/10993/27979/4/20160524_IIT_Madras_GIAN_S…
http://orbilu.uni.lu/bitstream/10993/27979/1/20160524_IIT_Madras_GIAN_S…
Yours,
Stéphane Bordas
In this article, a general type of two-dimensional time-fractional telegraph equation explained by the Caputo derivative sense for (1 < α ≤ 2) is considered and analyzed by a method based on the Galerkin weak form and local radial point interpolant (LRPI) approximation subject to given appropriate initial and Dirichlet boundary conditions.
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model reduction, mesh burden reduction, mesh burden, mesh, multiscale fracture, polycrystals, delamination, surgical simulation http://orbilu.uni.lu/handle/10993/16404 http://orbilu.uni.lu/bitstream/10993/16404/2/20140422_HannoverGermany.m…
Hello,
I want to solve some problem from solid mechanics by means of meshless methods. Do you know some interpolation/approximation method which is able to accurate evaluate 3rd and 4th derivations of the shape functions and is not difficult to implement? MLS or PIM have problem with accuracy in these derivatives, as is known.
Thank you very much for your advices.
Dear All,
we have a DPhil studentship available in the Solid Mechanics and Materials Engineering Group, within the Impact Engineering Laboratory led by Prof Nik Petrinic.
I am solving a simple solid mechanics problem by meshless method. use RPIM to calculate shape function.
when i calculate the derivatives of shape function, i found the derivative is not close to zero at the compute point, when the point is on the boundry of problem domain. and good derivative result can be got if the compute point is in problem domain.
is there anybody has experience in working with RPIM shape function help me to fix the problem?
Hi, everyone.
I'm going to employ the meshfree method to analyze composite model.
But, I can't understand how to determine the support radius although I have read some references.
I will use the circular support domain.
Please explain how to determine the support radius.
Hi all, I am currently beginning research as a graduate student on meshfree methods, focusing on RKPM right now. I have not been able to find an exact definition of what exactly a reproducing kernel means. Could someone kindly define a reproducing kernel? According to W.K Liu et al, a good example of a reproducing kernel is a Fourier transform, but I can't grasp why is that so.
