Hello! Welcome to my personal Web pages... I am Ajit Jadhav. I am an engineer from Pune, India.

Right now, I am suffering from having been made to wait for an inordinately long time for my Ph. D. defense (i.e. examination). I was doing my Ph.D. in Mechanical Engineering at COEP, University of Pune. I had had my pre-submission seminar done about TWO YEARS back (on April 12, 2007), and had submitted my final bound thesis about ONE AND A HALF YEARS back (on October 12, 2007). ... Tells you something about the kind of greatness this University of Pune actually has, the kind of care its topmost office bearers and administrators (like the VC, Mr. Narendra Jadhav, and the Director of BCUD, Mr. Pandit Vidyasagar, and a few others on the Senate) show towards their own PhD students, doesn't it?

Even earlier, I had done my bachelor's at COEP itself, a master's at the IIT Madras, and some doctoral level studies at the University of Alabama at Birmingham (in USA).... I own and maintain this Web site.

Something more about me...

I have varied experience:

I have accomplished several special achievements by now, including peer-reviewed publications at the international level on the following, related, developments:

My research is in computational mechanics and basically multi-disciplinary in nature. In this section, I will give you an example of a potential field problem--i.e. the Poisson-Laplace equation.

Physically, the Poisson-Laplace equation only captures the simpler linear case of certain phenomena. Yet, these phenomena come from a diverse range of fields.

1. gravitational potential (basic physics)
2. electrostatic potential field, say as in capacitors (Electrical Engg.)
3. magnetostatic potential field, say as in electric motors, generators and transformers (Electrical Engg.)
4. underground seepage of water and other fluids (Civil & Petrochemical Engg.)
5. velocity potential of the flow of the ideal fluid (Mechanical, Civil, Metallurgical & Aerospace Engg.)
6. steady-state temperature profile developed in heat conduction (Mechanical, Metallurgical & Aerospace Engg.)
7. steady-state heat transfer under radiation (Mechanical & Metallurgical Engg.)
8. torsion in thin plates as well as in beams and rods of constant sections (Mechanical, Civil & Aerospace Engg.)
9. anti-plane shear (or deformation) in thin plates i.e. membranes (Mechanical, Civil & Aerospace Engg.)

Problem: For the problem at hand, assume that a thin square plate carries a square hole. Its two lateral sides are held at two different constant temperatures as shown by the red and blue lines in the diagram below. The problem is to predict the steady-state temperature profile that would develop throughout the plate if the heat escaping through the sides marked in black can be neglected.

The problem was computationally modeled using both FEM and FAQ. I used my home-grown FEM solver to compute the results. For generation of high quality mesh, I used the EasyMesh software developed by Niceno. It is available for free on the Internet. Click on the picture of the mesh to see a larger image.

The Problem	The FEM Mesh

The closeness of the results produced by the two methods is clearly evident.

FEM Solution	FAQ Solution

Finally, note that neither FEM nor the FAQ method is limited to the potential fields alone.

Some of you may find the Training page interesting... Currently, I am in the process of developing a well-designed (i.e. hierarchically well-orderd) course on the finite element method (FEM). The page has a link to a downloadable course brochure. The brochure carries a quick multiple-choice test on FEM to let you check how well you understand FEM (in case you already know it).

Others may find the Consultancy page interesting... As of today, since my Ph. D. is not yet in hand, I can be open for a job or contract only in Pune. But, as I said above, I have not been getting even a temporary contract let alone a job, in the CAE field in Pune. (Pune has software exports in billions of US dollars.)

I have also given here the details of my Academics and Work-experience. Particularly, the Academics page is very detailed so that that I may be spared having to answer the questions I often get asked--the sort of questions that can only be answered in a comprehensive write-up. The descriptions are interspersed with a lot of personal comments.

The Miscellaneous page has my photos, an extended anecdote, and some longish random thoughts about examinations and ranks.

The pictures in the right hand side panel show (in the top to bottom order):

1. The standard view versus our view of how the Dirac delta pulse of a wavefield propagates in space with the passage of time
2. The resolution of the quantum wave-particle duality: Four stages in a computer simulation depicting how particles of light produce interference pattern expected of waves
3. The resolution of the quantum wave-particle duality: Experiment vs. simulation. Actually, this is the same simulation as the one shown just above. The only difference is that now it is the screen which is shown, whereas in the four pictures above, it was the plan view of the interference chamber
4. A diagram showing the instantaneous collapse of the sharp tip of the "triangular" temperature profile in a rod due to conduction, as predicted by Fourier's theory. I do not agree that the Fourier theory is a valid description of diffusion (or, its abstractions, valid in the domain of quantum mechanics).
5. Four stages in the simulation of the melting of a snowman--an advanced problem of computational modeling because it involves moving boundaries and a changing shape of domain in addition to transients
6. An illustration of the Huygens principle, and then, immediately below, the relation between the stereological sampling of the successive Huygens wavelets on the one hand and the random walk on the other
7. A comparative plot involving only a few shades of colors, thereby highlighting the limitations of both the approaches: FEM and FAQ
8. Four FEM plots of stresses (Sxx, Sxy, Syy, and von Mises) using a toy FEM solver I wrote

My human-readable email address is: tonebrush[AT]vsnl[DOT]net. (That way of writing the email address is to prevent spamming by bots. Just replace the square-brackets by the corresponding symbols.)

(BTW, serious correspondence only, please!)

Happy browsing!