void makeStokesMatrix (Ref<MatrixXd> stokesMatrix,
const int M,
const int N,
const double h,
const double * viscosityData) {
#ifdef DEBUG
cout << "<Creating " << 3 * M * N - M - N << "x" << 3 * M * N - M - N << " stokesMatrix>" << endl << endl;
#endif
stokesMatrix = MatrixXd::Zero (3 * M * N - M - N, 3 * M * N - M - N);
makeLaplacianXBlock (stokesMatrix.block (0, 0, M * (N - 1), M * (N - 1)), M, N, h, viscosityData);
makeLaplacianYBlock (stokesMatrix.block (M * (N - 1), M * (N - 1), (M - 1) * N, (M - 1) * N), M, N, h, viscosityData);
makeGradXBlock (stokesMatrix.block (0, 2 * M * N - M - N, M * (N - 1), M * N), M, N, h);
makeGradYBlock (stokesMatrix.block (M * (N - 1), 2 * M * N - M - N, (M - 1) * N, M * N), M, N, h);
makeDivXBlock (stokesMatrix.block (2 * M * N - M - N, 0, M * N, M * (N - 1)), M, N, h);
makeDivYBlock (stokesMatrix.block (2 * M * N - M - N, M * (N - 1), M * N, (M - 1) * N), M, N, h);
#ifdef DEBUG
cout << endl;
#endif
}
void makeStokesMatrix (SparseMatrix<double>& stokesMatrix,
const int M,
const int N,
const double h,
const double * viscosityData) {
#ifdef DEBUG
cout << "<Creating " << 3 * M * N - M - N << "x" << 3 * M * N - M - N << " stokesMatrix>" << endl;
#endif
vector<Triplet<double> > tripletList;
makeLaplacianXBlock (tripletList, 0, 0, M, N, h, viscosityData);
makeLaplacianYBlock (tripletList, M * (N - 1), M * (N - 1), M, N, h, viscosityData);
makeGradXBlock (tripletList, 0, 2 * M * N - M - N, M, N, h);
makeGradYBlock (tripletList, M * (N - 1), 2 * M * N - M - N, M, N, h);
makeDivXBlock (tripletList, 2 * M * N - M - N, 0, M, N, h);
makeDivYBlock (tripletList, 2 * M * N - M - N, M * (N - 1), M, N, h);
stokesMatrix.setFromTriplets (tripletList.begin(), tripletList.end());
#ifdef DEBUG
cout << endl;
#endif
}
