Blakey FEM

Welcome to Blakey FEM! This is a test solver that will solve 5 iterations of hp-refinement on your favourite* ODE. The domain is fixed with omega on [0, 1] in 1 dimension. Please choose options below for the equation to solve. You have some multiple choices for f and c, and can specify any positive real number for epsilon, and a positive integer greater than 1 for N (the starting number of elements). This code is all available on this repository: https://github.com/JustAdamHere/MAGIC098-Exam

* As long as your favourite ODE takes a very, very specific form.

If you're unsure on what to do, then click to run some of these examples:

• Boundary layer
• Poisson, giving u(x) = sin(pi x)

Otherwise, fill in the details below:

Forcing function, f

Select f f(x) = sin(x) f(x) = cos(x) f(x) = 0 f(x) = 1 f(x) = pi^2 sin(pi x)

u'' coefficient, epsilon

u coefficient function, c

Select c c(x) = sin(x) c(x) = cos(x) c(x) = 0 c(x) = 1 c(x) = pi^2 sin(pi x)

Number of elements

Run