def generate_local_block_operator(context, my_proc, graph, layers, alpha):
"""Generate the local system matrix.
"""
def copy_to_structure(brow, bcol, block, structure):
"""Small helper routine to copy a 2x2 block at the right position into a structure
"""
structure.setBlock(2 * brow, 2 * bcol, block.block(0, 0))
structure.setBlock(2 * brow, 2 * bcol + 1, block.block(0, 1))
structure.setBlock(2 * brow + 1, 2 * bcol, block.block(1, 0))
structure.setBlock(2 * brow + 1, 2 * bcol + 1, block.block(1, 1))
nproc = Epetra.PyComm().NumProc()
process_map = procmap(blockmap(graph), nproc)
scheduler = partition(process_map)
# Initialize structure of local system matrix
nb = process_map.shape[0] # Block-dimension of global matrix
structure = lib.createBlockedOperatorStructure(context)
for i in range(nb):
plc = layers[i]['spaces']['l']
pwc = layers[i]['spaces']['c']
null_op_00 = lib.createNullOperator(context, plc, pwc, plc)
null_op_11 = lib.createNullOperator(context, pwc, plc, pwc)
structure.setBlock(2 * i, 2 * i, null_op_00)
structure.setBlock(2 * i + 1, 2 * i + 1, null_op_11)
# Iterate through elements from scheduler and fill up local system matrix
if not scheduler.has_key(my_proc + 1):
A = lib.createBlockedBoundaryOperator(context, structure)
return A
for elem in scheduler[my_proc + 1]:
if elem[0] == elem[1]:
# Diagonal Block
block = diagonal_block(context, layers, elem[0], alpha)
copy_to_structure(elem[0], elem[1], block, structure)
else:
if layers[elem[0]]['sons'].count(elem[1]):
# elem[1] is a son of elem[0]
block1, block2 = off_diagonal_block_father_son(
context, layers, elem[0], elem[1])
else:
# elements must be on the same level
block1, block2 = off_diagonal_block_same_layer(
context, layers, elem[0], elem[1])
copy_to_structure(elem[0], elem[1], block1, structure)
copy_to_structure(elem[1], elem[0], block2, structure)
A = lib.createBlockedBoundaryOperator(context, structure)
return A
def generate_local_block_operator(context,my_proc,graph,layers,alpha):
"""Generate the local system matrix.
"""
def copy_to_structure(brow,bcol,block,structure):
"""Small helper routine to copy a 2x2 block at the right position into a structure
"""
structure.setBlock(2*brow,2*bcol,block.block(0,0))
structure.setBlock(2*brow,2*bcol+1,block.block(0,1))
structure.setBlock(2*brow+1,2*bcol,block.block(1,0))
structure.setBlock(2*brow+1,2*bcol+1,block.block(1,1))
nproc = Epetra.PyComm().NumProc()
process_map = procmap(blockmap(graph),nproc)
scheduler = partition(process_map)
# Initialize structure of local system matrix
nb = process_map.shape[0] # Block-dimension of global matrix
structure = lib.createBlockedOperatorStructure(context)
for i in range(nb):
plc = layers[i]['spaces']['l']
pwc = layers[i]['spaces']['c']
null_op_00 = lib.createNullOperator(context,plc,pwc,plc)
null_op_11 = lib.createNullOperator(context,pwc,plc,pwc)
structure.setBlock(2*i,2*i,null_op_00)
structure.setBlock(2*i+1,2*i+1,null_op_11)
# Iterate through elements from scheduler and fill up local system matrix
if not scheduler.has_key(my_proc+1):
A = lib.createBlockedBoundaryOperator(context,structure)
return A
for elem in scheduler[my_proc+1]:
if elem[0]==elem[1]:
# Diagonal Block
block = diagonal_block(context,layers,elem[0],alpha)
copy_to_structure(elem[0],elem[1],block,structure)
else:
if layers[elem[0]]['sons'].count(elem[1]):
# elem[1] is a son of elem[0]
block1,block2 = off_diagonal_block_father_son(context,layers,elem[0],elem[1])
else:
# elements must be on the same level
block1,block2 = off_diagonal_block_same_layer(context,layers,elem[0],elem[1])
copy_to_structure(elem[0],elem[1],block1,structure)
copy_to_structure(elem[1],elem[0],block2,structure)
A = lib.createBlockedBoundaryOperator(context,structure)
return A
def generate_local_block_operator(context,my_proc,process_map,layers,impedance):
"""Generate the local system matrix.
"""
nproc = Epetra.PyComm().NumProc()
total_time = 0
scheduler = process_map.scheduler
# Initialize structure of local system matrix
nb = process_map.block_matrix_layout.shape[0] # Block-dimension of global matrix
structure = lib.createBlockedOperatorStructure(context)
for i in range(nb):
plc = layers[i]['spaces']['l']
pwc = layers[i]['spaces']['c']
null_op_00 = lib.createNullOperator(context,plc,pwc,plc)
null_op_11 = lib.createNullOperator(context,pwc,plc,pwc)
structure.setBlock(2*i,2*i,null_op_00)
structure.setBlock(2*i+1,2*i+1,null_op_11)
# Iterate through elements from scheduler and fill up local system matrix
if not scheduler.has_key(my_proc+1):
A = lib.createBlockedBoundaryOperator(context,structure)
return (A,total_time)
for elem in scheduler[my_proc+1]:
if elem[0]==elem[1]:
# Diagonal Block
print "Generating block element [%(e0)i,%(e1)i] on process %(my_proc)i... " % {'e0':elem[0],
'e1':elem[1],
'my_proc':my_proc}
tstart=time()
block = diagonal_block(context,layers,elem[0],impedance)
block.weakForm()
copy_to_structure(elem[0],elem[1],block,structure)
tend=time()
print "Block element [%(e0)i,%(e1)i] on process %(my_proc)i generated in %(tval)f seconds" % {'e0':elem[0],
'e1':elem[1],
'my_proc':my_proc,
'tval':tend-tstart}
total_time +=tend-tstart
else:
print "Generating block elements [%(e0)i,%(e1)i] and [%(e1)i,%(e0)i] on process %(my_proc)i... " % {'e0':elem[0],
'e1':elem[1],
'my_proc':my_proc}
tstart=time()
if layers[elem[0]]['sons'].count(elem[1]):
# elem[1] is a son of elem[0]
block1,block2 = off_diagonal_block_father_son(context,layers,elem[0],elem[1])
else:
# elements must be on the same level
block1,block2 = off_diagonal_block_same_layer(context,layers,elem[0],elem[1])
block1.weakForm()
block2.weakForm()
copy_to_structure(elem[0],elem[1],block1,structure)
copy_to_structure(elem[1],elem[0],block2,structure)
tend = time()
print "Block elements [%(e0)i,%(e1)i] and [%(e1)i,%(e0)i] on process %(my_proc)i generated in %(tval)f seconds " % {'e0':elem[0],
'e1':elem[1],
'my_proc':my_proc,
'tval':tend-tstart
}
total_time +=tend-tstart
A = lib.createBlockedBoundaryOperator(context,structure)
return (A,total_time)
def generate_local_block_operator(context, my_proc, process_map, layers,
impedance):
"""Generate the local system matrix.
"""
nproc = Epetra.PyComm().NumProc()
total_time = 0
scheduler = process_map.scheduler
# Initialize structure of local system matrix
nb = process_map.block_matrix_layout.shape[
0] # Block-dimension of global matrix
structure = lib.createBlockedOperatorStructure(context)
for i in range(nb):
plc = layers[i]['spaces']['l']
pwc = layers[i]['spaces']['c']
null_op_00 = lib.createNullOperator(context, plc, pwc, plc)
null_op_11 = lib.createNullOperator(context, pwc, plc, pwc)
structure.setBlock(2 * i, 2 * i, null_op_00)
structure.setBlock(2 * i + 1, 2 * i + 1, null_op_11)
# Iterate through elements from scheduler and fill up local system matrix
if not scheduler.has_key(my_proc + 1):
A = lib.createBlockedBoundaryOperator(context, structure)
return (A, total_time)
for elem in scheduler[my_proc + 1]:
if elem[0] == elem[1]:
# Diagonal Block
print "Generating block element [%(e0)i,%(e1)i] on process %(my_proc)i... " % {
'e0': elem[0],
'e1': elem[1],
'my_proc': my_proc
}
tstart = time()
block = diagonal_block(context, layers, elem[0], impedance)
block.weakForm()
copy_to_structure(elem[0], elem[1], block, structure)
tend = time()
print "Block element [%(e0)i,%(e1)i] on process %(my_proc)i generated in %(tval)f seconds" % {
'e0': elem[0],
'e1': elem[1],
'my_proc': my_proc,
'tval': tend - tstart
}
total_time += tend - tstart
else:
print "Generating block elements [%(e0)i,%(e1)i] and [%(e1)i,%(e0)i] on process %(my_proc)i... " % {
'e0': elem[0],
'e1': elem[1],
'my_proc': my_proc
}
tstart = time()
if layers[elem[0]]['sons'].count(elem[1]):
# elem[1] is a son of elem[0]
block1, block2 = off_diagonal_block_father_son(
context, layers, elem[0], elem[1])
else:
# elements must be on the same level
block1, block2 = off_diagonal_block_same_layer(
context, layers, elem[0], elem[1])
block1.weakForm()
block2.weakForm()
copy_to_structure(elem[0], elem[1], block1, structure)
copy_to_structure(elem[1], elem[0], block2, structure)
tend = time()
print "Block elements [%(e0)i,%(e1)i] and [%(e1)i,%(e0)i] on process %(my_proc)i generated in %(tval)f seconds " % {
'e0': elem[0],
'e1': elem[1],
'my_proc': my_proc,
'tval': tend - tstart
}
total_time += tend - tstart
A = lib.createBlockedBoundaryOperator(context, structure)
return (A, total_time)
lhs_k13 = -(1.0 / kappa1) * slp12 lhs_k21 = dlp21 + scale * slp21 lhs_k22 = 0.5 * id22 - dlp22_w1 lhs_k23 = -(1.0 / kappa1) * slp22_w1 lhs_k32 = 0.5 * id22 + dlp22_w2 lhs_k33 = (1.0 / kappa2) * slp22_w2 lhs_k34 = -1.0 * dlp23 lhs_k35 = -(1.0 / kappa2) * slp23 lhs_k42 = dlp32 lhs_k43 = (1.0 / kappa2) * slp32 lhs_k44 = 0.5 * id33 - dlp33_w2 lhs_k45 = -(1.0 / kappa2) * slp33_w2 lhs_k54 = 0.5 * id33 + dlp33_w3 lhs_k55 = (1.0 / kappa3) * slp33_w3 structure = blib.createBlockedOperatorStructure(context) structure.setBlock(0, 0, lhs_k11) structure.setBlock(0, 1, lhs_k12) structure.setBlock(0, 2, lhs_k13) structure.setBlock(1, 0, lhs_k21) structure.setBlock(1, 1, lhs_k22) structure.setBlock(1, 2, lhs_k23) structure.setBlock(2, 1, lhs_k32) structure.setBlock(2, 2, lhs_k33) structure.setBlock(2, 3, lhs_k34) structure.setBlock(2, 4, lhs_k35) structure.setBlock(3, 1, lhs_k42) structure.setBlock(3, 2, lhs_k43) structure.setBlock(3, 3, lhs_k44) structure.setBlock(3, 4, lhs_k45) structure.setBlock(4, 3, lhs_k54)
lhs_k13 = -(1.0/kappa1)*slp12 lhs_k21 = dlp21 + scale*slp21 lhs_k22 = 0.5*id22 - dlp22_w1 lhs_k23 = -(1.0/kappa1)*slp22_w1 lhs_k32 = 0.5*id22 + dlp22_w2 lhs_k33 = (1.0/kappa2) * slp22_w2 lhs_k34 = -1.0*dlp23 lhs_k35 = -(1.0/kappa2)*slp23 lhs_k42 = dlp32 lhs_k43 = (1.0/kappa2)*slp32 lhs_k44 = 0.5*id33 - dlp33_w2 lhs_k45 = -(1.0/kappa2)*slp33_w2 lhs_k54 = 0.5*id33 + dlp33_w3 lhs_k55 = (1.0/kappa3)*slp33_w3 structure = blib.createBlockedOperatorStructure(context) structure.setBlock(0, 0, lhs_k11); structure.setBlock(0, 1, lhs_k12); structure.setBlock(0, 2, lhs_k13); structure.setBlock(1, 0, lhs_k21); structure.setBlock(1, 1, lhs_k22); structure.setBlock(1, 2, lhs_k23); structure.setBlock(2, 1, lhs_k32); structure.setBlock(2, 2, lhs_k33); structure.setBlock(2, 3, lhs_k34); structure.setBlock(2, 4, lhs_k35); structure.setBlock(3, 1, lhs_k42); structure.setBlock(3, 2, lhs_k43); structure.setBlock(3, 3, lhs_k44); structure.setBlock(3, 4, lhs_k45); structure.setBlock(4, 3, lhs_k54);