What is the purpose behind weak formulation of PDEs? I have read in the book by Zienkiewicz and Taylor that a weak formulation is more "permissive" that the original problem in the sense that it allows for discontinuities in coefficients of PDEs where as the original PDE in differential form must have a "truly" smooth solution to be solved analytically. So my question is, firstly what is a weak formulation in the physical sense? and secondly, is it only used to handle PDEs with coefficient discontinuities in the sense that an analytical integration gives a "too smooth" result which isn't relevant in problems of nature?
Subscribe to:
Post Comments (Atom)
-
A rook stands in the lower left corner of an $m\times n$ chessboard. Alice and Bob alternately move the rook (horizontally or vertically, th...
-
Why can't we use fissions products for electricity production ? As far has I know fissions products from current nuclear power plants cr...
-
I am researching Mercury's orbital precession. I have considered most perturbations and general relativity. I am still not satisfied. I ...
-
Yesterday, I understood what it means to say that the moon is constantly falling (from a lecture by Richard Feynman ). In the picture below ...
-
Recently I was going through "Problems in General physics" by I E Irodov. In Electromagnetics chapter, there is a question how muc...
-
I am having trouble understanding how centripetal force works intuitively. This is my claim. When I have a mass strapped on a string and spi...
-
When a drop of water falls into a reservoir of water from a high enough altitude, water droplets will splash ( image credit ): My question: ...
No comments:
Post a Comment