Добавлено решение СЛАУ
+ вывод локальной матрицы жёсткости
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@@ -4,9 +4,9 @@ using namespace Eigen;
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int main() {
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int main() {
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std::ifstream file("matrix.txt");
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std::ifstream file("matrix.txt");
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int N = 20;
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int N = 3;
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int upper = 6, lower = 1;
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int upper = 1, lower = 0;
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double A = 1, B = 1, C = 1, L = upper - lower, du_dx = 1.;
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double A = 1, B = 0, C = 1, L = upper - lower;
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double dx = L / N;
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double dx = L / N;
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@@ -15,10 +15,11 @@ int main() {
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local(0, 1) = -A / dx + B / 2;
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local(0, 1) = -A / dx + B / 2;
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local(1, 0) = -A / dx - B / 2;
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local(1, 0) = -A / dx - B / 2;
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local(1, 1) = A / dx + B / 2;
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local(1, 1) = A / dx + B / 2;
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std::cout << "Local matrix:\n" << local << std::endl;
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VectorXd local_load(2);
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VectorXd local_load(2);
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local_load(0) = C * dx / 2 - A * du_dx;
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local_load(0) = C * dx / 2;
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local_load(1) = C * dx / 2 + A * du_dx;
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local_load(1) = C * dx / 2;
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// Ансамблированные матрица и вектор
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// Ансамблированные матрица и вектор
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MatrixXd ansamb = MatrixXd::Zero(N + 1, N + 1);
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MatrixXd ansamb = MatrixXd::Zero(N + 1, N + 1);
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@@ -72,5 +73,9 @@ int main() {
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std::cout << "Modified matrix:\n" << ansamb << std::endl;
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std::cout << "Modified matrix:\n" << ansamb << std::endl;
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std::cout << "Modified load vector:\n" << global_load << std::endl;
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std::cout << "Modified load vector:\n" << global_load << std::endl;
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VectorXd solution = ansamb.fullPivLu().solve(global_load);
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std::cout << "\nSolution:" << std::endl;
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std::cout << solution << std::endl;
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return 0;
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return 0;
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}
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}
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