void Jacobian_2(Teuchos::RCP<Intrepid::FieldContainer<Real> > & jac,
const Teuchos::RCP<const Intrepid::FieldContainer<Real> > & u_coeff,
const Teuchos::RCP<const Intrepid::FieldContainer<Real> > & z_coeff = Teuchos::null,
const Teuchos::RCP<const std::vector<Real> > & z_param = Teuchos::null) {
if ( z_coeff != Teuchos::null ) {
// GET DIMENSIONS
int c = u_coeff->dimension(0);
int f = basisPtr_->getCardinality();
// INITIALIZE JACOBIAN
jac = Teuchos::rcp(new Intrepid::FieldContainer<Real>(c, f, f));
// ADD CONTROL TERM
Intrepid::FunctionSpaceTools::integrate<Real>(*jac, *(fe_vol_->N()), *(fe_vol_->NdetJ()), Intrepid::COMP_CPP, false);
// APPLY DIRICHLET CONDITIONS
int numSideSets = bdryCellLocIds_.size();
if (numSideSets > 0) {
for (int i = 0; i < numSideSets; ++i) {
int numLocalSideIds = bdryCellLocIds_[i].size();
for (int j = 0; j < numLocalSideIds; ++j) {
int numCellsSide = bdryCellLocIds_[i][j].size();
int numBdryDofs = fidx_[j].size();
for (int k = 0; k < numCellsSide; ++k) {
int cidx = bdryCellLocIds_[i][j][k];
for (int l = 0; l < numBdryDofs; ++l) {
//std::cout << "\n j=" << j << " l=" << l << " " << fidx[j][l];
for (int m = 0; m < f; ++m) {
(*jac)(cidx,fidx_[j][l],m) = static_cast<Real>(0);
}
}
}
}
}
}
}
else {
throw Exception::Zero(">>> (PDE_Poisson::Jacobian_2): Jacobian is zero.");
}
}
/*----------------------------------------------------------------------*
| project nodes master to slave along slave cont. normal field |
*----------------------------------------------------------------------*/
bool MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField()
{
if (!IsComplete())
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Complete() not called on interface " << Id() << "\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
if (!lComm()) return true;
int mside = MortarSide();
int sside = OtherSide(mside);
// iterate over all nodes of the master side and project those belonging to me
std::map<int,Teuchos::RCP<MOERTEL::Node> >::iterator mcurr;
for (mcurr=rnode_[mside].begin(); mcurr!=rnode_[mside].end(); ++mcurr)
{
Teuchos::RCP<MOERTEL::Node> mnode = mcurr->second;
if (NodePID(mnode->Id()) != lComm()->MyPID())
continue;
const double* mx = mnode->X();
double mindist = 1.0e+20;
Teuchos::RCP<MOERTEL::Node> closenode = Teuchos::null;
// find a node on the slave side that is closest to me
std::map<int,Teuchos::RCP<MOERTEL::Node> >::iterator scurr;
for (scurr=rnode_[sside].begin(); scurr!=rnode_[sside].end(); ++scurr)
{
Teuchos::RCP<MOERTEL::Node> snode = scurr->second;
const double* sx = snode->X();
// build distance | snode->X() - mnode->X() |
double dist = 0.0;
for (int i=0; i<3; ++i) dist += (mx[i]-sx[i])*(mx[i]-sx[i]);
dist = sqrt(dist);
if (dist < mindist)
{
mindist = dist;
closenode = snode;
}
}
if (closenode == Teuchos::null)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Weired: for master node " << mnode->Id() << " no closest master node found\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
#if 0
cout << "snode " << *mnode;
cout << "closenode " << *closenode;
#endif
// get segments attached to closest node closenode
int nseg = closenode->Nseg();
MOERTEL::Segment** segs = closenode->Segments();
// create a projection operator
MOERTEL::Projector projector(IsOneDimensional(),OutLevel());
// loop these segments and find best projection
double bestdist[2];
const double tol = 0.2;
double bestgap = 0.0, gap;
bestdist[0] = bestdist[1] = 1.0e+20;
MOERTEL::Segment* bestseg = NULL;
for (int i=0; i<nseg; ++i)
{
// project the master node on the slave segment along the segments interpolated normal field
double xi[2]; xi[0] = xi[1] = 0.0;
projector.ProjectNodetoSegment_SegmentNormal(*mnode,*(segs[i]),xi,gap);
// check whether xi is better then previous projections
if (IsOneDimensional())
{
if (abs(xi[0]) < abs(bestdist[0]))
{
bestdist[0] = xi[0];
bestdist[1] = xi[1];
bestseg = segs[i];
bestgap = gap;
}
}
else
{
double third = 1./3.;
// it's 'inside' with some tolerance
if ( xi[0]<=1.+tol && xi[1]<=abs(1.-xi[0])+tol && xi[0]>=0.-tol && xi[1]>=0.-tol )
{
// it's better in both directions
if ( sqrt((xi[0]-third)*(xi[0]-third)) < sqrt((bestdist[0]-third)*(bestdist[0]-third)) &&
sqrt((xi[1]-third)*(xi[1]-third)) < sqrt((bestdist[1]-third)*(bestdist[1]-third)) )
{
bestdist[0] = xi[0];
bestdist[1] = xi[1];
bestseg = segs[i];
bestgap = gap;
}
//it's better in one direction and 'in' in the other
else if ( (sqrt((xi[0]-third)*(xi[0]-third))<sqrt((bestdist[0]-third)*(bestdist[0]-third)) &&
xi[1]<=abs(1.-xi[0])+tol && xi[1]>=0.-tol ) ||
(sqrt((xi[1]-third)*(xi[1]-third))<sqrt((bestdist[1]-third)*(bestdist[1]-third)) &&
xi[0]<=1.+tol && xi[0]>=0.-tol ) )
{
bestdist[0] = xi[0];
bestdist[1] = xi[1];
bestseg = segs[i];
bestgap = gap;
}
}
}
} // for (int i=0; i<nseg; ++i)
// check whether the bestseg/bestdist are inside that segment
// (with some tolerance of 20%)
bool ok = false;
if (IsOneDimensional())
{
if (abs(bestdist[0]) < 1.1) ok = true;
}
else
{
if (bestdist[0]<=1.+tol && bestdist[1]<=abs(1.-bestdist[0])+tol &&
bestdist[0]>=0.-tol && bestdist[1]>=0.-tol)
ok = true;
}
if (ok) // the projection is good
{
// build the interpolated normal and overwrite the mnode normal with -n
int nsnode = bestseg->Nnode();
MOERTEL::Node** snodes = bestseg->Nodes();
std::vector<double> val(nsnode);
bestseg->EvaluateFunction(0,bestdist,&val[0],nsnode,NULL);
double NN[3]; NN[0] = NN[1] = NN[2] = 0.0;
for (int i=0; i<nsnode; ++i)
{
const double* N = snodes[i]->N();
for (int j=0; j<3; ++j)
NN[j] -= val[i]*N[j];
}
val.clear();
mnode->SetN(NN);
// create projected node and store it in mnode
MOERTEL::ProjectedNode* pnode
= new MOERTEL::ProjectedNode(*mnode,bestdist,bestseg);
mnode->SetProjectedNode(pnode);
mnode->SetGap(bestgap);
}
else // this mnode does not have a valid projection
{
if (OutLevel()>6)
cout << "MOERTEL: ***WRN***: Projection m->s: Node " << mnode->Id() << " does not have projection\n";
mnode->SetProjectedNode(NULL);
}
} // for (scurr=rnode_[mside].begin(); scurr!=rnode_[mside].end(); ++scurr)
// loop all master nodes again and make the projection and the new normal redundant
int bsize = 7*rnode_[mside].size();
std::vector<double> bcast(bsize);
for (int proc=0; proc<lComm()->NumProc(); ++proc)
{
int blength = 0;
if (proc==lComm()->MyPID())
{
for (mcurr=rnode_[mside].begin(); mcurr!=rnode_[mside].end(); ++mcurr)
{
Teuchos::RCP<MOERTEL::Node> mnode = mcurr->second;
if (proc != NodePID(mnode->Id())) continue; // cannot have a projection on a node i don't own
Teuchos::RCP<MOERTEL::ProjectedNode> pnode = mnode->GetProjectedNode();
if (pnode == Teuchos::null) continue; // this node does not have a projection
const double* xi = pnode->Xi();
const double* N = mnode->N();
bcast[blength] = (double)pnode->Id();
++blength;
if (pnode->Segment())
bcast[blength] = (double)pnode->Segment()->Id();
else
bcast[blength] = -0.1;
++blength;
bcast[blength] = xi[0];
++blength;
bcast[blength] = xi[1];
++blength;
bcast[blength] = N[0];
++blength;
bcast[blength] = N[1];
++blength;
bcast[blength] = N[2];
++blength;
bcast[blength] = pnode->Gap();
++blength;
}
if (blength > bsize)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Overflow in communication buffer occured\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
}
lComm()->Broadcast(&blength,1,proc);
lComm()->Broadcast(&bcast[0],blength,proc);
if (proc!=lComm()->MyPID())
{
int i;
for (i=0; i<blength;)
{
int nid = (int)bcast[i]; ++i;
double sid = bcast[i]; ++i;
double* xi = &bcast[i]; ++i; ++i;
double* n = &bcast[i]; ++i; ++i; ++i;
double gap = bcast[i]; ++i;
Teuchos::RCP<MOERTEL::Node> mnode = GetNodeView(nid);
Teuchos::RCP<MOERTEL::Segment> seg = Teuchos::null;
if (sid != -0.1)
seg = GetSegmentView((int)sid);
if (mnode == Teuchos::null)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Cannot get view of node\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
mnode->SetN(n);
MOERTEL::ProjectedNode* pnode = new MOERTEL::ProjectedNode(*mnode,xi,seg.get());
mnode->SetProjectedNode(pnode);
mnode->SetGap(gap);
}
if (i != blength)
{
std::stringstream oss;
oss << "***ERR*** MOERTEL::Interface::ProjectNodes_MastertoSlave_NormalField:\n"
<< "***ERR*** Mismatch in dimension of recv buffer\n"
<< "***ERR*** file/line: " << __FILE__ << "/" << __LINE__ << "\n";
throw ReportError(oss);
}
}
} // for (int proc=0; proc<lComm()->NumProc(); ++proc)
bcast.clear();
return true;
}