feat(poly): constraint integrator

The NewtonSolver has been subclassed to try to auto enforce the zero boundary central condition by modifying the residual vector and the gradient matrix. This is a work in progress

BREAKING CHANGE:

src/poly/solver/public/polySolver.h

@@ -25,32 +25,24 @@ private:
     Probe::LogManager& logManager = Probe::LogManager::getInstance();
     quill::Logger* logger;
     double n, order;
-    MeshIO meshIO;
     mfem::Mesh& mesh;
     
     std::unique_ptr<mfem::H1_FECollection> feCollection;
-
     std::unique_ptr<mfem::FiniteElementSpace> feSpace;
 
     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::VectorConstantCoefficient> diffusionCoeff;
-    std::unique_ptr<mfem::ConstantCoefficient> nonLinearSourceCoeff;
-    std::unique_ptr<polyMFEMUtils::GaussianCoefficient> gaussianCoeff;
-
-    double C_val;
+    std::unique_ptr<mfem::VectorFunctionCoefficient> diffusionCoeff;
+    std::unique_ptr<mfem::FunctionCoefficient> nonlinearSourceCoeff;
 
     void assembleNonlinearForm();
-    void assembleConstraintForm();
 
 
 public:
-    PolySolver(double n, double order);
+    PolySolver(double n, double order, mfem::Mesh& mesh_);
     ~PolySolver();
     void solve();
     mfem::Mesh& getMesh() { return mesh; }