feat(poly): added first pass implimentation of 3D constrained lane-emden solver

This has not currently been tested and this commit should not be viewed as scientifically complete

src/poly/solver/public/polySolver.h

@@ -0,0 +1,46 @@
+#ifndef POLYSOLVER_H
+#define POLYSOLVER_H
+
+#include "mfem.hpp"
+#include <iostream>
+#include <string>
+#include <memory>
+
+#include "meshIO.h"
+#include "polyCoeff.h"
+
+
+class PolySolver {
+private:
+    double n, order;
+    MeshIO meshIO;
+    mfem::Mesh& mesh;
+    
+    std::unique_ptr<mfem::H1_FECollection> feCollection;
+
+    std::unique_ptr<mfem::FiniteElementSpace> feSpace;
+    std::unique_ptr<mfem::FiniteElementSpace> lambdaFeSpace;
+
+    std::unique_ptr<polyMFEMUtils::CompositeNonlinearIntegrator> compositeIntegrator;
+
+    std::unique_ptr<mfem::NonlinearForm> nonlinearForm;
+    std::unique_ptr<mfem::LinearForm> C; // For the constraint equation
+
+    std::unique_ptr<mfem::GridFunction> u;
+
+    std::unique_ptr<mfem::Vector> oneVec;
+
+    std::unique_ptr<mfem::VectorConstantCoefficient> diffusionCoeff;
+    std::unique_ptr<mfem::ConstantCoefficient> nonLinearSourceCoeff;
+    std::unique_ptr<polyMFEMUtils::GaussianCoefficient> gaussianCoeff;
+
+    void assembleNonlinearForm();
+    void assembleConstraintForm();
+
+
+public:
+    PolySolver(double n, double order);
+    void solve();
+};
+
+#endif // POLYSOLVER_H