public void NewtonRaphson()
{
internalForcesTotalVector = discretization.CreateTotalInternalForcesVector();
residual = VectorOperations.VectorVectorSubtraction(BoundaryConditionsImposition.ReducedVector(internalForcesTotalVector, boundaryDof), forceVector);
residualNorm = VectorOperations.VectorNorm2(residual);
int iteration = 0;
while (residualNorm > tolerance && iteration < maxIterations)
{
Array.Clear(discretization.TotalStiffnessMatrix, 0, discretization.TotalStiffnessMatrix.Length);
discretization.CreateTotalStiffnessMatrix();
double[,] reducedStiffnessMatrix = BoundaryConditionsImposition.ReducedTotalStiff(discretization.TotalStiffnessMatrix, boundaryDof);
DirectSolver linearSolution = new DirectSolver(reducedStiffnessMatrix, residual);
linearSolution.SolveWithMethod("PCG");
deltaU = linearSolution.GetSolutionVector;
double[] reducedSolutionVector = BoundaryConditionsImposition.ReducedVector(solutionVector, boundaryDof);
reducedSolutionVector = VectorOperations.VectorVectorSubtraction(reducedSolutionVector, deltaU);
solutionVector = BoundaryConditionsImposition.CreateFullVectorFromReducedVector(reducedSolutionVector, boundaryDof);
discretization.UpdateValues(solutionVector);
Array.Clear(discretization.internalForcesTotalVector, 0, discretization.internalForcesTotalVector.Length);
internalForcesTotalVector = discretization.CreateTotalInternalForcesVector();
residual = VectorOperations.VectorVectorSubtraction(BoundaryConditionsImposition.ReducedVector(internalForcesTotalVector, boundaryDof), forceVector);
residualNorm = VectorOperations.VectorNorm2(residual);
iteration = iteration + 1;
}
}
static void Main(string[] args)
{
//Declaration of basic frame info
InputData data = new InputData();
data.ReadAllData();
if (data.elementType.Contains("NLBeam") | data.elementType.Contains("NLTruss"))
{
//Creation of local, global and total stiffness matrices
Discretization2DFrame Exercise1Frame = new Discretization2DFrame(data);
Exercise1Frame.GetStiffnessMatrices();
//Exercise1Frame.CreateTotalStiffnessMatrix();
NLSolver solution = new NLSolver(Exercise1Frame, 1000, data);
solution.SolveWithMethod("Newton-Raphson");
VectorOperations.PrintVector(solution.solutionVector);
}
else
{
//Creation of local, global and total stiffness matrices
Discretization2DFrame Exercise1Frame = new Discretization2DFrame(data);
Exercise1Frame.GetStiffnessMatrices();
Exercise1Frame.CreateTotalStiffnessMatrix();
//Creation reduced matrix depended on boundary conditions
double[,] reducedTotalStiff = BoundaryConditionsImposition.ReducedTotalStiff(Exercise1Frame.TotalStiffnessMatrix, data.boundaryDof);
//Solution using Cholesky factorization with forward and backward substitution
DirectSolver solution = new DirectSolver(reducedTotalStiff, data.externalForcesVector);
solution.SolveWithMethod("Gauss");
VectorOperations.PrintVector(solution.GetSolutionVector);
Console.WriteLine();
IterativeSolver solution2 = new IterativeSolver(reducedTotalStiff, data.externalForcesVector, 1000);
solution2.SolveWithMethod("PCG");
VectorOperations.PrintVector(solution2.GetSolutionVector);
}
}