Gaus1D

title '1D Accuracy Test - Gaussian'

select

    ngrid = 5

    stages = 4

    errlim = staged(1e-2, 1e-3, 1e-4, 1e-5)

coordinates

    cartesian1

Variables

    u

definitions

    k = 1

    w=0.1

    u0 = exp(-x^2/w^2)

    s = -dxx(u0)

    left=point(-1)

    right=point(1)

equations

    div(K*grad(u)) +s = 0

boundaries

    Region 1

       start left  point value(u)=u0

       line to right  point value(u)=u0

monitors

    elevation(u) from left to right

plots

    elevation(u,u0) from left to right

    elevation(u-u0) from left to right

    elevation(-div(grad(u)),s) from left to right

histories

    history(sqrt(integral((u-u0)^2)/integral(1)), errlim)

end