p.15 In the third line from top, instead of “convex bounded domains” , read “,in most cases, convex bounded domains”.

Errata

Numerical Experiments with FEMLAB to Support Mathematical Research

N. M. Hansson

p.15 In the third line from top, instead of “convex bounded domains” , read “,in most cases, convex bounded domains”.

p.17 In the second line from bottom, R

should be R

.

p.18 In the fourth line of from the bottom, instead of “For all functions u satisfying a Lipschitz condition k ∇u k

= sup

x,y∈D x6=y

|u(x)−u(y)|

|x−y|

which is the optimal Lipschitz condition u on D.”, read “For all functions u satisfying a Lipschitz condition k ∇u k

= sup

x,y∈D x6=y

|u(x)−u(y)|

|x−y|

which is the optimal Lipschitz condition u on D. Note that this is the only result in this text which requires a convex domain.”.

p.21 In the eighth line from the top in paragraph 2.7, instead of ”Here we can view the streamlines as solutions to a nonlinear PDE y

= F (x, y).”, read ”Here we can view the streamlines as solutions to a nonlinear ODE y

= F (x, y).”.

p.23 In the third line from the bottom, instead of ”

( ∇ · `(10

+ u

+ u

)

, (10

+ u

+ u

)

´ = 0 in D

u = φ on ∂D

”, read ”

( ∇ · “

`(10

+ u

+ u

)

´ u

, `(10

+ u

+ u

)

´ u

”

in D

u = φ on ∂D

where s =

.”. This change has the effect that q should be read as s in all plots. It also follows that q will be twice as large as stated in the text i.e. q = 15 will mean q = 30.

p.23 In the footnote, instead of ”For numerical purposes we use ∆

(u) = ∇ · ((10

+ |∇u|

)

· ∇u).”, read ”For numerical purposes we use ∆

(u) = ∇ · ((10

+ |∇u|)

∇u).”.

Note that page numbers refer to page numbering in Acrobat Reader.

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