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* Y @A>N(*dI 8582:*/. @C >)!A*1)68 E * >-F2+;(@A,-8?;(,32:)+@3IB>-Y *dI ;(, 2:;(@A,0F9,-I08_@;(2m.GF=-*?>Z8*9I2:@ >-F9,B2+;(2PF2:; *1N .0*9FT8_>):*H2 7 * FTY1Y >)6FTY @CmF.0*/2 7 @3IK5 ,&7 * .0*98 7 @A,0Q 7 ;VY 7 2 7 * )+@T=NE*1. % ;E,cQ 7 ;VY 7 2 7 *IB; g>-8;E@T,GY @A,-82PF,32A H " 5 "8" 4R;V8&8_@TN *dI Y @A,B2PF;E,-8 (8#Q*1N(*1.O*1,B2P8-F,-I; 8`8 7 @9QH,;E,? T>)+* 35-% F 4P5 ,&7 *H2 7 )+*1*&*/):):@A)i;E,-IB;VY1F2+@T)68 T; */, ;E, (B5 5 0F)+*0*9FAY 7 2+):;E*9I FA8[2 7 *0Q&*/ ; 7 2:;E,0CX>,-Y 2+;(@A, ;(, 2 7 *O,@3IB*G.0@ *1.\*1,B2&CX@A):.\>N F =% B-5 3465 ,&7 *d8* F):*U2 7 *?)+*98;VIB>-FN=-FT8_*9I G J 2 7 *H*1DFAY 22+;(@A, A)6FTI3;(*1,32 5 >.O*1):;VY1FN-*11D -*1):;E.0*1,3268i;E,-IB; Y/F2:* 2 7 F92?;E2&; 8&.O@T):* * GY;(*1,322U.0@T)+*?2 7 F, @A,*?> KIF2:*U;(,=-*12_Q]*1*1,*dFTY 7 2:;(.O* _8_2:* J=>2 gIF2+*98-8_*98R2 7 *H*/):):@A) 2+@;(,-Y )+*9FT8_*% FT8&2 7 *.0*98 7 =-*9Y@T.0*98R2+@ @\IB; 8_2:@T)+2:*9I-465 ,&7 ;V8&; 8&8 7 @9QH,G;(, A>):* B>5 $3JBQ 7 */):* 2 7 *&*1)+):@A)R,@T)+.!@Cg2 7 *WY @T1, *1) T*9IS8@AN(>2+;(@A,G%IB* Z,*9I[1= S2 7 *NVF&;(, (B5 5 94h; 78 NE@T2:2+*9I F F;E,-82 2 7 *\2:@A26F9NM,3>.\=-*1)@CW > gIF2+*98Y/F):)+;(*9I @A>215 * *1)PFN AF9N(>*98@9C % > gIF92:*98 +
+
+
"
8 2+*K4h)PF,A;(,CX):@A. 2+@ " F9):*S8 7 @9QH,hJ-F,-I02 7 **1)+):@T)H;E,-IB;VY1F2+@T)&>Z8*9I 7 *1):*;V8 2 7 *S):*98_; IB>-F9Nh=-FT8_*9I G 5 -*1)H2+;(.0*
0.012 UPS=1 UPS=3 UPS=5 UPS=10
0.011 0.01
Error norm of solution
0.009 0.008 0.007 0.006 0.005 0.004 0.003 0.002 0.001 0
6i; A>):* 35>$
5
10
15 20 25 Total number of updates
30
35
40
@TN(>2:;(@A, *1)+):@A)H,@T)+. CX@T) IB; g*1)+*1,32 A FNE>*98H@C 0 F9,-I
5
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Min: 0.50 ; Max: 0.76
6i; A>):* 35>(
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1
0.1
L2 Residual norm
0.01
0.001
0.0001
1e-05
1e-06
1e-07
1e-08 0
6i; T>)+*435>
10
20
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60
70
80
90
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1 residual indicator gradient indicator no node movement 0.5
0
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0.1
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0.2
0.3
0.4
0.5
0.6
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0.8
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0.5 residual indicator gradient indicator no node movement
0.4 0.3 0.2 0.1 0 -0.1 -0.2 0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
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Q Initialize
Solve time-step
no
Partially Converged? yes yes
Fully converged? no Approximate Error
Refine?
no
yes Update node positions
Refine mesh one level
Output solution
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0.1
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