-
Notifications
You must be signed in to change notification settings - Fork 4
/
MGcycle.jl
213 lines (178 loc) · 6.36 KB
/
MGcycle.jl
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
function recursiveCycle(param::MGparam,b::ArrayTypes,x::ArrayTypes,level::Int64)
# println(string("Starting level ", level));
TYPE = getMGType(param,b);
if eltype(x)!=TYPE
error("Should not be this way.");
end
gmresTol = 1e-5;
n = size(b,1);
nrhs = size(b,2);
numCores = param.numCores;
As = param.As;
nlevels = length(As);
if level==nlevels # This actually does not need to happen unless one level only is used (i.e. exact solver).
r = param.memCycle[level].r;
r[:] = b;
x = solveCoarsest(param,r,x);
return x;
end
Ps = param.Ps;
Rs = param.Rs;
AT = As[level];
oneType = one(TYPE);
zeroType = zero(TYPE);
r = param.memCycle[level].r;
r[:] = b;
if norm(x)>0.0
SpMatMul(-oneType,AT,x,oneType,r,numCores)# r -= A'*x;
end
D = param.relaxPrecs[level];
MM = identity;
Afun = identity;
if param.relaxType=="Jac-GMRES"
y = param.memRelax[level].v_prec;
MM(xx::ArrayTypes) = (SpMatMul(D,xx,y,numCores);return y;);
end
PT = Ps[level];
RT = Rs[level];
npresmth = param.relaxPre(level);
npostsmth = param.relaxPost(level);
if param.relaxType=="Jac-GMRES"
Afun = getAfun(AT,param.memRelax[level].Az,numCores)
if nrhs == 1
x = FGMRES_relaxation(Afun,r,x,npresmth,MM,gmresTol,false,true,numCores,param.memRelax[level])[1];
# x = FGMRES(Afun,r,x,npresmth,MM,gmresTol,false,true,numCores,param.memRelax[level])[1];
else
for ii = 1:nrhs
x[:,ii] = FGMRES_relaxation(Afun,r[:,ii],x[:,ii],npresmth,MM,gmresTol,false,true,numCores,param.memRelax[level])[1];
end
# x = BlockFGMRES_relaxation(AT,r,x,npresmth,MM,gmresTol,false,false,numCores, param.memRelax[level])[1];
end
elseif param.relaxType == "VankaFaces"
x = RelaxVankaFacesColor(AT,x,b,r,D,npresmth,numCores,param.Meshes[level],param.transferOperatorType=="SystemsFacesMixedLinear");
else
x = relax(AT,r,x,b,D,npresmth,numCores);
end
SpMatMul(-oneType,AT,x,zeroType,r,numCores); # r = -A'*x;
addVectors(oneType,b,r); # r = r + b;
xc = param.memCycle[level+1].x;
xc[:] .= 0.0;
bc = param.memCycle[level+1].b;
bc = SpMatMul(RT,r,bc,numCores);
if level==nlevels-1
# println("solving coarsest");
xc = solveCoarsest(param,bc,xc);
else
Ac = As[level+1];
if param.cycleType == 'K'
yzK = param.memKcycle[level].v_prec;
AfunK = getAfun(Ac,param.memKcycle[level].Az,numCores);
MMG(x) = (yzK[:] .= 0.0; recursiveCycle(param,x,yzK,level+1)); # x does not change...
if nrhs==1
xc = FGMRES_relaxation(AfunK,bc,xc,2,MMG,gmresTol,false,true,numCores,param.memKcycle[level])[1];
# xc = FGMRES(AfunK,bc,xc,2,MMG,gmresTol,false,true,numCores,param.memKcycle[level])[1];
else
# xc = BlockFGMRES_relaxation(Ac,bc,xc,2,MMG,gmresTol,false,true,numCores,param.memKcycle[level+1])[1];
xc, = KrylovMethods.blockFGMRES(AfunK,bc,2,tol = gmresTol,maxIter = 1,M = MMG, X = xc,flexible=true,out=-1);
end
else
xc = recursiveCycle(param,bc,xc,level+1);# xc changes, bc does not change
if param.cycleType=='W'
xc = recursiveCycle(param,bc,xc,level+1);
elseif param.cycleType=='F'
param.cycleType='V';
xc = recursiveCycle(param,bc,xc,level+1);
param.cycleType='F';
end
end
end
x = SpMatMul(oneType,PT,xc,oneType,x,numCores); # x += PT'*xc;
r[:] = b;
SpMatMul(-oneType,AT,x,oneType,r,numCores); # r -= A'*x;
if param.relaxType=="Jac-GMRES"
Afun = getAfun(AT,param.memRelax[level].Az,numCores)
if nrhs == 1
x = FGMRES_relaxation(Afun,r,x,npostsmth,MM,gmresTol,false,true,numCores,param.memRelax[level])[1];
# x = FGMRES(Afun,r,x,npostsmth,MM,gmresTol,false,true,numCores,param.memRelax[level])[1];
else
for ii=1:nrhs
x[:,ii] = FGMRES_relaxation(Afun,r[:,ii],x[:,ii],npostsmth,MM,gmresTol,false,true,numCores,param.memRelax[level])[1];
end
# x = BlockFGMRES_relaxation(AT,r,x,npostsmth,MM,gmresTol,false,false,numCores, param.memRelax[level])[1];
end
elseif param.relaxType == "VankaFaces"
x = RelaxVankaFacesColor(AT,x,b,r,D,npostsmth,numCores,param.Meshes[level],param.transferOperatorType=="SystemsFacesMixedLinear");
else
x = relax(AT,r,x,b,D,npostsmth,numCores);
end
return x
end
function relax(AT::SparseMatrixCSC,r::ArrayTypes,x::ArrayTypes,b::ArrayTypes,D::SparseMatrixCSC,numit::Int64,numCores::Int64)
# x is actually the output... x and is being changed in the iterations.
# r does not end up accurate becasue we do not update it in the last iteration.
oneType = one(eltype(r));
zeroType = zero(eltype(r));
# nr0 = vecnorm(r);
for i=1:numit-1
SpMatMul(oneType,D,r,oneType,x,numCores); # x = x + D'*r
SpMatMul(-oneType,AT,x,zeroType,r,numCores) # r = -A'*x
addVectors(oneType,b,r); # r = r + b;
# println("Reduced: ", vecnorm(r)/nr0)
end
SpMatMul(oneType,D,r,oneType,x,numCores); # x = x + D'*r
return x
end
function solveCoarsest(param::MGparam,b::ArrayTypes,x::ArrayTypes,doTranspose::Int64=0)
# if isa(param.LU,AbstractSolver)
# AT = param.As[end];
# (x,param.LU) = solveLinearSystem!(AT,b,x,param.LU);
# return x;
# end
if param.coarseSolveType == "MUMPS"
applyMUMPS(param.LU,b,xt,param.doTranspose);
elseif param.coarseSolveType == "BiCGSTAB"
AT = param.As[end];
maxIter = 100;
tol = 0.1;
out= -2;
Afun = getAfun(AT,zeros(eltype(b),size(b)),param.numCores);
D = param.LU;
y = zeros(eltype(b),size(b));
M1(xx::ArrayTypes) = (SpMatMul(D,xx,y,param.numCores);return y;);
if size(b,2)==1
b = vec(b);
x, flag,rnorm,iter = KrylovMethods.bicgstb(Afun,b,tol = tol,maxIter = maxIter,M1 = M1,M2 = identity,out=out);
else
x, flag,rnorm,iter = KrylovMethods.blockBiCGSTB(Afun,b,tol = tol,maxIter = maxIter,M1 = M1,M2 = identity,out=out);
end
# println("Applied ",iter," BiCGSTAB");
elseif param.coarseSolveType == "GMRES"
AT = param.As[end];
maxIter = 1;
tol = 0.01;
out= -2;
Afun = getAfun(AT,zeros(eltype(b),size(b)),param.numCores);
D = param.LU;
y = zeros(eltype(b),size(b));
M2(xx::ArrayTypes) = (SpMatMul(D,xx,y,param.numCores);return y;);
if size(b,2)==1
b = vec(b);
x[:] .= 0.0;
x, flag,rnorm,iter = KrylovMethods.fgmres(Afun,b,10,tol = tol,maxIter = 1,M = M2,out=out,x=x);
else
x[:] .= 0.0;
x, flag,rnorm,iter = KrylovMethods.blockFGMRES(Afun,b,10,tol = tol,maxIter = 1,M = M2,out=out,X=x);
end
elseif param.coarseSolveType == "VankaFaces"
AT = param.As[end];
inner = 20;
Afun = getAfun(AT,zeros(eltype(b),size(b)),param.numCores);
out= -2;
x = KrylovMethods.fgmres(Afun,b,inner;tol = 0.8,maxIter = 5,M = param.LU,x = x,flexible = true,out = out)[1];
# println("Coarsest norm is: ",norm(Afun(y) - b)/norm(b));
else
z = param.LU\b;
x[:] = z;
end
return x;
end