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c-----------------------------------------------------------------------
c contains the functions needed for defining the PDE poroblems.
c
c first for the scalar 5-point and 7-point PDE
c-----------------------------------------------------------------------
function afun (x,y,z)
real*8 afun, x,y,z
afun = -1.0
return
end
function bfun (x,y,z)
real*8 bfun, x,y,z
bfun = -1.0
return
end
function cfun (x,y,z)
real*8 cfun, x,y,z
cfun = -1.0d0
return
end
function dfun (x,y,z)
real*8 dfun, x,y,z
dfun = 10.d0
return
end
function efun (x,y,z)
real*8 efun, x,y,z
efun = 0.0d0
return
end
function ffun (x,y,z)
real*8 ffun, x,y,z
ffun = 0.0
return
end
function gfun (x,y,z)
real*8 gfun, x,y,z
gfun = 0.0
return
end
function hfun(x, y, z)
real*8 hfun, x, y, z
hfun = 0.0
return
end
function betfun(side, x, y, z)
real*8 betfun, x, y, z
character*2 side
betfun = 1.0
return
end
function gamfun(side, x, y, z)
real*8 gamfun, x, y, z
character*2 side
if (side.eq.'x2') then
gamfun = 5.0
else if (side.eq.'y1') then
gamfun = 2.0
else if (side.eq.'y2') then
gamfun = 7.0
else
gamfun = 0.0
endif
return
end
c-----------------------------------------------------------------------
c functions for the block PDE's
c-----------------------------------------------------------------------
subroutine afunbl (nfree,x,y,z,coeff)
real*8 x, y, z, coeff(100)
do 2 j=1, nfree
do 1 i=1, nfree
coeff((j-1)*nfree+i) = 0.0d0
1 continue
coeff((j-1)*nfree+j) = -1.0d0
2 continue
return
end
subroutine bfunbl (nfree,x,y,z,coeff)
real*8 x, y, z, coeff(100)
do 2 j=1, nfree
do 1 i=1, nfree
coeff((j-1)*nfree+i) = 0.0d0
1 continue
coeff((j-1)*nfree+j) = -1.0d0
2 continue
return
end
subroutine cfunbl (nfree,x,y,z,coeff)
real*8 x, y, z, coeff(100)
do 2 j=1, nfree
do 1 i=1, nfree
coeff((j-1)*nfree+i) = 0.0d0
1 continue
coeff((j-1)*nfree+j) = -1.0d0
2 continue
return
end
subroutine dfunbl (nfree,x,y,z,coeff)
real*8 x, y, z, coeff(100)
do 2 j=1, nfree
do 1 i=1, nfree
coeff((j-1)*nfree+i) = 0.0d0
1 continue
2 continue
return
end
subroutine efunbl (nfree,x,y,z,coeff)
real*8 x, y, z, coeff(100)
do 2 j=1, nfree
do 1 i=1, nfree
coeff((j-1)*nfree+i) = 0.0d0
1 continue
2 continue
return
end
subroutine ffunbl (nfree,x,y,z,coeff)
real*8 x, y, z, coeff(100)
do 2 j=1, nfree
do 1 i=1, nfree
coeff((j-1)*nfree+i) = 0.0d0
1 continue
2 continue
return
end
subroutine gfunbl (nfree,x,y,z,coeff)
real*8 x, y, z, coeff(100)
do 2 j=1, nfree
do 1 i=1, nfree
coeff((j-1)*nfree+i) = 0.0d0
1 continue
2 continue
return
end
c-----------------------------------------------------------------------
c The material property function xyk for the
c finite element problem
c-----------------------------------------------------------------------
c subroutine xyk(nel,xyke,x,y,ijk,node)
c implicit real*8 (a-h,o-z)
c dimension xyke(2,2), x(*), y(*), ijk(node,*)
cc
cc this is the identity matrix.
cc
c xyke(1,1) = 1.0d0
c xyke(2,2) = 1.0d0
c xyke(1,2) = 0.0d0
c xyke(2,1) = 0.0d0
cc
c return
c end
c
subroutine xyk (xyke, x, y)
implicit real*8(a-h,o-z)
dimension xyke(2,2)
xyke(1,1) = 1.
xyke(1,1) = exp(x+y)
xyke(1,2) = 0.
xyke(2,1) = 0.
xyke(2,2) = 1.
xyke(2,2) = exp(x+y)
return
end
function funb(x,y)
implicit real*8(a-h,o-z)
funb = 0.
funb = 2.5
funb = 2*x
return
end
function func(x,y)
implicit real*8(a-h,o-z)
func = 0.
func = -1.5
func = -5*y
return
end
function fung(x,y)
c Right hand side corresponding to the exact solution of
c u = exp(x+y)*x*(1.-x)*y*(1.-y)
c (That exact solution is defined in the function exact)
implicit real*8(a-h,o-z)
c fung = 1. + x
c fung = 2*y*(1.-y) + 2*x*(1.-x)
c fung = 2*y*(1.-y) + 2*x*(1.-x) +2.5*(1-2*x)*y*(1-y)
c 1 - 1.5*(1.-2*y)*x*(1-x)
r = exp(x+y)
fung = r*r*((x*x+3.*x)*y*(1.-y) +
1 (y*y+3.*y)*x*(1.-x))
2 + r*(r-2.*x)*(x*x+x-1.)*y*(1.-y)
3 + r*(r+5.*y)*(y*y+y-1.)*x*(1.-x)
return
end
function exact(x,y)
C Exact Solution.
implicit real*8(a-h,o-z)
exact = exp(x+y)*x*(1.-x)*y*(1.-y)
return
end
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