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parabolic_program.hpp
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			#ifndef SPECMICP_DFPMSOLVER_PARABOLICPROGRAM_HPP
			#define SPECMICP_DFPMSOLVER_PARABOLICPROGRAM_HPP

			#include "common.hpp"
			#include <Eigen/Sparse>
			#include "dfpm_program.hpp"

			namespace specmicp {
			namespace dfpmsolver {

			//! Concept class for a program
			template <class Derived>
			class ParabolicProgram: DFPMProgram<ParabolicProgram<Derived>>
			{
			public:
			Derived* derived() {static_cast<Derived*>(this);}

			//! \brief Compute the residuals
			void compute_residuals(const Vector& displacement,
			const Vector& velocity,
			Vector& residual
			)
			{
			derived()->compute_residuals(displacement, velocity, residual);
			}
			//! \brief Compute the jacobian
			void compute_jacobian(Vector& displacement,
			Vector& velocity,
			Eigen::SparseMatrix<scalar_t>& jacobian,
			scalar_t alphadt
			)
			{
			derived()->compute_jacobian(displacement, velocity, jacobian, alphadt);
			}
			//! \brief Update the solutions
			void update_solution(const Vector& update,
			scalar_t lambda,
			scalar_t alpha_dt,
			Vector& predictor,
			Vector& displacement,
			Vector& velocity)
			{
			derived()->update_solution(update, lambda, alpha_dt, predictor, displacement, velocity);
			}
			//! \brief Apply boundary conditions to the velocity vector
			//!
			//! by default do nothing.
			void apply_bc(scalar_t dt,
			const Vector& displacement,
			Vector& velocity)
			{}

			};

			} // end namespace dfpmsolver
			} // end namespace specmicp

			#endif // SPECMICP_DFPMSOLVER_PARABOLICPROGRAM_HPP