psset1.m
: Laplace's equation on 0 <
x, y < 1, zero Dirichlet BCs
except
u(
x, 0) =
x3(1 -
x)
psset2.m
: Laplace's equation on 0 <
x < 0.5, 0 <
y < 1,
BCs
u(0,
y) = 4
y,
u(0.5,
y) = 4,
u(
x, 0) = 16
x2,
u(
x, 1) = 4
psset3.m
: Laplace's equation on 0 <
x, y < 1, zero Dirichlet BCs
except along
y = 0, which is hat-shaped
psset4.m
: Poisson's equation -Δ
u = [(3
x +
x2)
y (1 -
y) + (3
y +
y2)
x (1 -
x)] e
x+y
on 0 <
x, y < 1, zero Dirichlet BCs