Table 1 Parameter values in Example 6.1.

PDE specific input

Thermal conductivity

λ

20

(W/mK)

Thermal diffusivity

κ

8.45e−6

(m²/s)

Initial temperature

\(u_{\mathrm{init}}\)

1000

(K)

Absorbed beam power

P

100

(W)

Greedy algorithm specific input

Reference surface temperature

\(u_{\mathrm{melt}}\)

1800

(K)

Reference melt temperature

\(u_{\mathrm{surf}}\)

2800

(K)

Secondary beam position, width

w

100

(μm)

Secondary beam position, depth

d

50

(μm)

Weight 1

\(W_{1}\)

0.7

Weight 2

\(W_{2}\)

0.3

Window size

q − p + 1

5

Segments frozen in each iteration

r

1

Initial spot size on segment k

\(\sigma _{k}\)

0.2 ∀k

(mm)

Initial speed on segment k

\(v_{k}\)

0.5  ∀ k

(m/s)

Bounds, spot size

\((\sigma _{\mathrm{min}}, \sigma _{\mathrm{max}})\)

(1e−2, 1e0)

(mm)

Bounds, speed

\((v_{\mathrm{min}}, v_{\mathrm{max}})\)

(1e1,1e4)

(mm/s)