/// <summary> /// Does not mutate this object. /// </summary> internal Dictionary <int, Vector> CalcActualDisplacements(Vector lagranges, Vector cornerDisplacements, Dictionary <int, Vector> fr) { var freeDisplacements = new Dictionary <int, Vector>(); foreach (int s in subdomains.Keys) { IFetiDPSubdomainMatrixManager matrices = matrixManagers[s]; // ur[s] = inv(Krr[s]) * (fr[s] - Br[s]^T * lagranges - Krc[s] * Lc[s] * uc) Vector BrLambda = lagrangeEnumerator.BooleanMatrices[s].Multiply(lagranges, true); Vector KrcLcUc = dofSeparator.CornerBooleanMatrices[s].Multiply(cornerDisplacements); KrcLcUc = matrices.MultiplyKrcTimes(KrcLcUc); Vector temp = fr[s].Copy(); temp.SubtractIntoThis(BrLambda); temp.SubtractIntoThis(KrcLcUc); Vector ur = matrices.MultiplyInverseKrrTimes(temp); // uf[s] = union(ur[s], ubc[s]) // Remainder dofs var uf = Vector.CreateZero(subdomains[s].FreeDofOrdering.NumFreeDofs); int[] remainderDofs = dofSeparator.RemainderDofIndices[s]; uf.CopyNonContiguouslyFrom(remainderDofs, ur); // Corner dofs: ubc[s] = Bc[s] * uc Vector ubc = dofSeparator.CornerBooleanMatrices[s].Multiply(cornerDisplacements); int[] cornerDofs = dofSeparator.CornerDofIndices[s]; uf.CopyNonContiguouslyFrom(cornerDofs, ubc); freeDisplacements[s] = uf; } return(freeDisplacements); }
public Vector MultiplyFIrc(Vector vector) { Preconditions.CheckMultiplicationDimensions(numCornerDofs, vector.Length); // FIrc[s] * x = sum_over_s( Br[s] * (inv(Krr[s]) * (Krc[s] * (Lc[s] * x))) ) var result = Vector.CreateZero(Order); foreach (int s in Br.Keys) { IFetiDPSubdomainMatrixManager matrices = matrixManagers[s]; Vector temp = Lc[s].Multiply(vector); temp = matrices.MultiplyKrcTimes(temp); temp = matrices.MultiplyInverseKrrTimes(temp); temp = Br[s].Multiply(temp); result.AddIntoThis(temp); } return(result); }