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{ STAGES.PDE
This example demonstrates the use of staging to solve a problem for a range of parameters.
We stage both the equation parameters and the solution ERRLIM.
The problem is a nonlinear test, which solves a modified steady-state Burgers equation.
}
title 'Staged Problem'
select
stages = 3 { run only the first three of the listed stages }
errlim = staged(0.01, 0.001, 0.0005)
Variables
u
definitions
scale = staged(1, 2, 4, 8) { extra value ignored }
a = 1/scale
Initial values
u = 1 - (x-1)^2 - (y-1)^2
equations
U: div(a*grad(u)) + scale*u*dx(u) +4 = 0;
boundaries
region 1
start(0,0)
value(u)=0
line to (2,0) to (2,2) to (0,2) to close
monitors
contour(u)
plots
surface(u) report scale as "Scale"
contour(u) report scale as "Scale"
histories
history(integral(u)) vs scale as "Ingegral vs Scale"
end