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PDE2.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME PDE2
* Problem :
* *********
* The pde_2, _20 & _200.mod AMPL models from Hans Mittelmann
* See: http://plato.asu.edu/ftp/barrier/
* SIF input: Nick Gould, April 25th 2012
* classification LLR2-AN-V-V
* the x-y discretization
*IE N 3 $-PARAMETER
IE N 299 $-PARAMETER
*IE N 2999 $-PARAMETER pde_2.mod value
*IE N 2099 $-PARAMETER pde_20.mod value
*IE N 1299 $-PARAMETER pde_200.mod value
* Other useful parameters
IE 0 0
IE 1 1
RE ONE 1.0
IA N1 N 1
RI RN1 N1
RE A 0.01
RE G 20.0
R/ H ONE RN1
RM -H H -1.0
R* H2 H H
R* GH2 G H2
R* AH A H
R( SQRTAH SQRT AH
VARIABLES
DO I 0 N1
DO J 0 N1
X X(I,J)
ND
DO I 1 N
DO J 0 N1
X T(I,J)
ND
GROUPS
DO I 1 N
DO J 0 N1
XN OBJ T(I,J) 1.0
ND
DO I 1 N
IA I+ I 1
IA I- I -1
DO J 1 N
IA J+ J 1
IA J- J -1
XE P(I,J) X(I,J) 4.0
XE P(I,J) X(I,J+) -1.0 X(I,J-) -1.0
XE P(I,J) X(I+,J) -1.0 X(I-,J) -1.0
ND
DO I 1 N
DO J 1 N
XG A(I,J) T(I,J) 1.0
ZG A(I,J) X(I,J) H
XL B(I,J) T(I,J) -1.0
ZG B(I,J) X(I,J) H
ND
DO I 1 N
XG C(I,0) T(I,0) 1.0
ZG C(I,0) X(I,0) SQRTAH
XL D(I,0) T(I,0) -1.0
ZG D(I,0) X(I,0) SQRTAH
XG C(I,N1) T(I,0) 1.0
ZG C(I,N1) X(I,N1) SQRTAH
XL D(I,N1) T(I,0) -1.0
ZG D(I,N1) X(I,N1) SQRTAH
XG E(0,I) T(I,0) 1.0
ZG E(0,I) X(0,I) SQRTAH
XL F(0,I) T(I,0) -1.0
ZG F(0,I) X(0,I) SQRTAH
XG E(N1,I) T(I,0) 1.0
ZG E(N1,I) X(N1,I) SQRTAH
XL F(N1,I) T(I,0) -1.0
ZG F(N1,I) X(N1,I) SQRTAH
ND
RHS
DO I 1 N
DO J 1 N
Z PDE2 P(I,J) GH2
ND
DO I 1 N
RI RI I
R* IH RI H
RA IH-1 IH -1.0
R* P RI IH-1
RM P P 5.0
DO J 1 N
RI RJ J
R* JH RJ H
RA JH-1 JH -1.0
R* YD RJ JH-1
RM YD YD P
RA YD YD 3.0
R* YD YD H
RM -YD YD -1.0
Z PDE2 A(I,J) YD
Z PDE2 B(I,J) -YD
ND
BOUNDS
LO PDE2 'DEFAULT' 0.0
UP PDE2 'DEFAULT' 3.5
DO I 1 N
XU PDE2 X(I,0) 10.0
XU PDE2 X(I,N1) 10.0
XU PDE2 X(0,I) 10.0
XU PDE2 X(N1,I) 10.0
ND
ENDATA