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Page 1: 0/1',)+2321! )4 56-7/98: ;=-7/1'@?A)! 4 B CED ..."dkt7 Z Q b1aonqp¸ (dkt acb ¨V¬ #bVbVU j 0¢ aonqp hg _ Q = qnw xn ¢ ¼qeob7 =shaonUaonyp ej 7 =ax df u¨V¬ #bVbVb j M

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(c)

(a) (b)

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gN

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Ω3

Ω4

Ω

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(1,1)(0,1)

(1,0)

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gD

= 1

gD

= 0

gN

= 0

gN

= 0

gN

= 0

Ω

(1,0)(0,0)

(1,1)

(0,0.5)

(0.5,1)

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gD

= 1

gD

= 0

gN

= 0

gN

= 0

gN

= 0

Ω1

Ω2

Ω3

Ω4

Ω(0,0) (1,0)

(1,1)(0.5,1)

(0,0.5)

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Uo©

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0 10 20 30 40 50 6010

−3

10−2

10−1

100

ITERATIONS

ER

RO

RS

|| δ u ||M

/ ||u||M

Estimate d = 10Estimate d = 5Estimate d = 20

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0 20 40 60 80 100 12010

−3

10−2

10−1

100

ITERATIONS

ER

RO

RS

|| δ u ||M

/ ||u||M

Estimate d = 10Estimate d = 5Estimate d = 20

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0 10 20 30 40 50 60 70 80 90 100 110 1200.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

1.2

Iterations

Rat

io e

nerg

y no

rm u

ove

r en

ergy

nor

m u

(k)

Domain 1Domain 2

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&Z[8:";:<$\$]"'0^\5 @

0 10 20 30 40 50 60 70 80 90 100 110 1200.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

1.2

Iterations

Rat

io e

nerg

y no

rm u

ove

r en

ergy

nor

m u

(k)

Domain 4Domain 3

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&Z[8:";:<$\$]"_<+?@

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