Questions tagged [galerkin-methods]

94 questions
1
vote
0 answers

Galerkin Approximation for Finite Elements

so I've been trying my hand at this approximation but I can't quite seem to get a good answer. Would really appreciate if anyone can identify where I've gone wrong. Given a first order DE: $$u''-\frac{6}{x^2}u+\frac{12}{x}=0,1
RGG
  • 19
1
vote
0 answers

discontinuous galerkin method double-valued boundary values

when looking at a simple example for a DG-Method, lets make the domain go from 0 to 2, with one point in the middle: \begin{align} -u''=f \end{align} we would multiply with a smooth function and integrate by parts: \begin{align} \int_0^2…
jjstcool
  • 252
0
votes
1 answer

About Finite Elements Method and stabilization using Upwind Scheme

I'm asking here cause I have a doubt about approximate solution of this problem: \begin{equation} \begin{cases}-\epsilon u''+bu'=0 \\ u(0) = 0, u(1)=1 \end{cases} \end{equation} which is a diffusion transport problem. I found the approximate…
James Arten
  • 1,953
  • 1
  • 8
  • 20