Nodal Discontinuous Galerkin Methods:

5
85, +17 : a(u x , v) Ω should be a(u x , φ) Ω
87, +3 : ‖ε N ‖ 2 Ω,h should be ‖ε h‖ 2 Ω,h
89, +16 : Should be
[
− iωh
2 M + aS . . .
has the meaning of the interpolation of the pro-
109, last equation : Should be ν → 0 in lim.
118, Sec 5.2 : Clarification: In this section, fh k
jection of f, i.e.,
N p
∑
fh k (x, t) = (P N f)(x i , t)l k i (x).
This is equivalent to assuming that all integrals are exact.
119, -8 : ”from” should be ”form”.
122, +5 : Eq.(5.8) should be
1 d
2 dt ‖u h‖ 2 Ω,h ≤ 0.
i=1
123, -8 : Last expression should be
N
∑ p
fh k (x, t) = fh k (x k i , t)l k i (x),
i=1
124, +3 : u k h (x i, t) should be u k h (xk i , t).
130, +10 : Eq.(5.16), lower limit should be η c < η ≤ 1.
134, -3 : The statement is only true for ˆn = 1. The general statement should be
ˆn · (au) ∗ =
2a+ a − (
a + + a − {{u}} + 1 )
2 [u]
151, -9 : Should be
ul = uh; ul(3:Np,:) =0; ul = V*ul;
162,-1 to 163, +2 : Statements
drho (mapI) = ...
drhou(mapI) = ...
dEner(mapI) = ...