Добавлено решение СЛАУ

+ вывод локальной матрицы жёсткости
This commit is contained in:
2025-09-08 22:22:57 +03:00
parent 5ab3cf7986
commit c7ff86c752

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