1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Algorithm-how to proceed (numerical techniques)

  1. Jul 17, 2010 #1
    My problem is like this:

    I have a 2 dimensional domain

    Now, that domain is made up of eleemnts- these elemnts are triangular
    or quadrilateral in shape. Each triangualr and quadrilateral element has 3 and 4 vertices (a triangular element has 3 vertices and quadrilateral has 4 vertices).

    We have fixed function values at these vertices- the function is (Say) F

    In that 2-D domain we define a strip (a strip is just a part of the area of that domain), A strip may have several sections - (those) lines as in attached figure (summary-figure.jpg)- the vertical lines are sections.

    What I need is::

    I need to integrate the resultant (function) along the length of each design strip section and
    hence across the width of the design strip.

    I could think to proceed in the following steps::

    The inputs are:

    A) All the triangle/quadrilateral vertices
    B) Function values at all the vertices
    C) The line over which you want to integrate
    D)geometry of the strip

    The broad algorithm would be like this:
    1. Find which quadrilaterals/triangles this line intersects
    2. Find the function values at the points of intersection of the line with the sides of these quadrilatrals/triangles
    3. Use numerical integration to integrate the function from these values

    Can anyone help me with a better algorithm?

    Also, how would I proceed with 3 above?What would be the best for numerical integration?

    Someone suggested about Chebyshev polynomials- but I do not have any idea of it!

    Please please can anyone help?It si very urgent


    Attached Files:

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted