private Vector CreateInterfaceProblemRhs(FetiDPFlexibilityMatrix flexibility,
IFetiDPCoarseProblemSolver coarseProblemSolver, Vector globalFcStar, Vector dr)
{
// rhs = dr - FIrc * inv(KccStar) * fcStar
Vector rhs = coarseProblemSolver.MultiplyInverseCoarseProblemMatrixTimes(globalFcStar);
rhs = flexibility.MultiplyFIrc(rhs);
rhs = dr - rhs;
return(rhs);
}
public void Multiply(IVectorView lhsVector, IVector rhsVector)
{
//TODO: remove casts. I think PCG, LinearTransformation and preconditioners should be generic, bounded by
// IVectorView and IVector
var lhs = (Vector)lhsVector;
var rhs = (Vector)rhsVector;
// rhs = (FIrr + FIrc * inv(KccStar) * FIrc^T) * lhs
rhs.Clear();
flexibility.MultiplyFIrr(lhs, rhs);
Vector temp = flexibility.MultiplyTransposedFIrc(lhs);
temp = coarseProblemSolver.MultiplyInverseCoarseProblemMatrixTimes(temp);
temp = flexibility.MultiplyFIrc(temp);
rhs.AddIntoThis(temp);
}
public static void TestFlexibilityMatrices()
{
// Setup the model and solver
Model model = Quads4x4MappingMatricesTests.CreateModel();
Dictionary <int, HashSet <INode> > cornerNodes = Quads4x4MappingMatricesTests.DefineCornerNodes(model);
var fetiMatrices = new DenseFetiDPSubdomainMatrixManager.Factory();
var cornerNodeSelection = new UsedDefinedCornerNodes(cornerNodes);
var solver = new FetiDPSolver.Builder(cornerNodeSelection, fetiMatrices).BuildSolver(model);
model.ConnectDataStructures();
solver.OrderDofs(false);
solver.Initialize();
// Mock the stiffness matrices
Dictionary <int, IFetiDPSubdomainMatrixManager> matrixManagers = MockStiffnesses();
// Access private fields of FetiDPSolver
FieldInfo fi = typeof(FetiDPSolver).GetField("lagrangeEnumerator", BindingFlags.NonPublic | BindingFlags.Instance);
var lagrangeEnumerator = (FetiDPLagrangeMultipliersEnumerator)fi.GetValue(solver);
fi = typeof(FetiDPSolver).GetField("dofSeparator", BindingFlags.NonPublic | BindingFlags.Instance);
var dofSeparator = (FetiDPDofSeparator)fi.GetValue(solver);
// Create the flexibility matrices by multiplying with identity matrices
int numLagranges = lagrangeEnumerator.NumLagrangeMultipliers;
int numCornerDofs = dofSeparator.NumGlobalCornerDofs;
var flexibility = new FetiDPFlexibilityMatrix(dofSeparator, lagrangeEnumerator, matrixManagers);
Matrix FIrr = MultiplyWithIdentity(numLagranges, numLagranges, flexibility.MultiplyFIrr);
Matrix FIrc = MultiplyWithIdentity(numLagranges, numLagranges, (x, y) => y.CopyFrom(flexibility.MultiplyFIrc(x)));
// Check against expected matrices
double tol = 1E-11;
Assert.True(MatrixFIrr.Equals(FIrr, tol));
Assert.True(MatrixFIrc.Equals(FIrc, tol));
}