public static void TestInterfaceProblemSolution()
{
// 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 and force vectors
Dictionary <int, IFetiDPSubdomainMatrixManager> matrixManagers = MockStiffnesses();
Dictionary <int, IFetiSubdomainMatrixManager> matrixManagersPreconditioning = MockStiffnessesForPreconditioning();
Dictionary <int, Matrix> Krr = MatricesKrr;
Vector dr = VectorDr;
// 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);
// Hardcoded coarse problem matrix and rhs
var coarseSolver = new DenseFetiDPCoarseProblemSolver(model.Subdomains);
Vector globalFcStar = VectorFcStar;
Matrix inverseKccStar = MatrixKccStar.Invert(); // It must be set as a private field using reflection.
fi = typeof(DenseFetiDPCoarseProblemSolver).GetField("inverseGlobalKccStar",
BindingFlags.NonPublic | BindingFlags.Instance);
fi.SetValue(coarseSolver, inverseKccStar);
// Dirichlet preconditioner
var precondFactory = new DirichletPreconditioner.Factory();
var repackagedKrr = new Dictionary <int, IMatrixView>();
foreach (var idMatrixPair in Krr)
{
repackagedKrr[idMatrixPair.Key] = idMatrixPair.Value;
}
var stiffnessDistribution = new HomogeneousStiffnessDistribution(model, dofSeparator);
stiffnessDistribution.Update(null);
IFetiPreconditioner preconditioner = precondFactory.CreatePreconditioner(model,
stiffnessDistribution, dofSeparator, lagrangeEnumerator, matrixManagersPreconditioning);
// Solve the interface problem
FetiDPInterfaceProblemSolver interfaceSolver = new FetiDPInterfaceProblemSolver.Builder().Build();
var flexibility = new FetiDPFlexibilityMatrix(dofSeparator, lagrangeEnumerator, matrixManagers);
var logger = new SolverLogger("mock FETI-DP");
(Vector lagranges, Vector uc) = interfaceSolver.SolveInterfaceProblem(
flexibility, preconditioner, coarseSolver, globalFcStar, dr, GlobalForcesNorm, logger);
// Check against expected solution
double tol = 1E-7;
Assert.True(SolutionLagrangeMultipliers.Equals(lagranges, tol));
Assert.True(SolutionCornerDisplacements.Equals(uc, tol));
}
public static void TestScalingMatrices()
{
#region Replace the next with hardcoded matrices and mocking objects
// Run the analysis so that all objects are created
// Setup the model
double stiffnessRatio = 1E-2; // Do not change this! The expected solution is taken for this value
Model model = CreateModel(stiffnessRatio);
Dictionary <int, HashSet <INode> > cornerNodes = Quads4x4MappingMatricesTests.DefineCornerNodes(model);
// Setup solver
var interfaceSolverBuilder = new FetiDPInterfaceProblemSolver.Builder();
interfaceSolverBuilder.PcgConvergenceTolerance = 1E-7;
var fetiMatrices = new DenseFetiDPSubdomainMatrixManager.Factory();
var cornerNodeSelection = new UsedDefinedCornerNodes(cornerNodes);
var fetiSolverBuilder = new FetiDPSolver.Builder(cornerNodeSelection, fetiMatrices);
fetiSolverBuilder.InterfaceProblemSolver = interfaceSolverBuilder.Build();
fetiSolverBuilder.ProblemIsHomogeneous = false;
var preconditionerFactory = new DirichletPreconditioner.Factory();
fetiSolverBuilder.PreconditionerFactory = preconditionerFactory;
FetiDPSolver fetiSolver = fetiSolverBuilder.BuildSolver(model);
// Run the analysis
var problem = new ProblemStructural(model, fetiSolver);
var linearAnalyzer = new LinearAnalyzer(model, fetiSolver, problem);
var staticAnalyzer = new StaticAnalyzer(model, fetiSolver, problem, linearAnalyzer);
staticAnalyzer.Initialize();
staticAnalyzer.Solve();
#endregion
// Access private fields of FetiDPSolver and DirichletPreconditioner.Factory using reflection
FieldInfo fi = typeof(FetiDPSolver).GetField("lagrangeEnumerator", BindingFlags.NonPublic | BindingFlags.Instance);
var lagrangeEnumerator = (FetiDPLagrangeMultipliersEnumerator)fi.GetValue(fetiSolver);
fi = typeof(FetiDPSolver).GetField("dofSeparator", BindingFlags.NonPublic | BindingFlags.Instance);
var dofSeparator = (FetiDPDofSeparator)fi.GetValue(fetiSolver);
fi = typeof(FetiDPSolver).GetField("stiffnessDistribution", BindingFlags.NonPublic | BindingFlags.Instance);
var stiffnessDistribution = (IStiffnessDistribution)fi.GetValue(fetiSolver);
MethodInfo method = preconditionerFactory.GetType().GetMethod("CalcBoundaryPreconditioningBooleanMatrices",
BindingFlags.NonPublic | BindingFlags.Instance);
var Bpbr = (Dictionary <int, IMappingMatrix>)method.Invoke(preconditionerFactory,
new object[] { stiffnessDistribution, dofSeparator, lagrangeEnumerator });
// Compare the mapping matrices against the expected ones
var expectedBpbr = new Dictionary <int, Matrix>();
expectedBpbr[0] = Matrix.CreateFromArray(new double[, ]
{
{ 0.5, 0, 0, 0 },
{ 0, 0.5, 0, 0 },
{ 0, 0, 0.5, 0 },
{ 0, 0, 0, 0.5 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 }
});
expectedBpbr[1] = Matrix.CreateFromArray(new double[, ]
{
{ -0.5, 0, 0, 0 },
{ 0, -0.5, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0.00990099009900990, 0 },
{ 0, 0, 0, 0.00990099009900990 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 }
});
expectedBpbr[2] = Matrix.CreateFromArray(new double[, ]
{
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ -0.5, 0, 0, 0 },
{ 0, -0.5, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0.00990099009900990, 0 },
{ 0, 0, 0, 0.00990099009900990 }
});
expectedBpbr[3] = Matrix.CreateFromArray(new double[, ]
{
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ -0.990099009900990, 0, 0, 0 },
{ 0, -0.990099009900990, 0, 0 },
{ 0, 0, -0.990099009900990, 0 },
{ 0, 0, 0, -0.990099009900990 }
});
double tol = 1E-13;
foreach (int s in expectedBpbr.Keys)
{
Matrix explicitBpr = Bpbr[s].MultiplyRight(Matrix.CreateIdentity(Bpbr[s].NumColumns));
Assert.True(expectedBpbr[s].Equals(explicitBpr, tol));
}
}
