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heat_diffusion.hh
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			#include "diffusion_law.hh"

			#ifndef AKANTU_HEAT_DIFFUSION_HH
			#define AKANTU_HEAT_DIFFUSION_HH

			namespace akantu {

			template <Int dim> class HeatDiffusion : public DiffusionLaw {
			using Parent = DiffusionLaw;

			public:
			HeatDiffusion(DiffusionModel & model, const ID & id,
			const ID & fe_engine_id = "");

			void updateInternalParameters() override;
			void computeDiffusivityGradUOnQuadPoints(ElementType type,
			GhostType ghost_type) override;
			void computeDiffusivityOnQuadPoints(ElementType type,
			GhostType ghost_type) override;

			decltype(auto) getArguments(ElementType type, GhostType ghost_type) {
			return DiffusionLaw::getArguments<dim>(type, ghost_type);
			}

			[[nodiscard]] Real getStableTimeStep(Real element_size) override;

			[[nodiscard]] Real getRho() const override { return density * capacity; }

			[[nodiscard]] Real getEnergy(const ID & energy_id) override;
			[[nodiscard]] Real getEnergy(const ID & energy_id,
			const Element & element) override;

			private:
			auto getThermalEnergy(const Element & element) -> Real;
			auto getThermalEnergy() -> Real;

			template <class iterator, class t_iterator>
			void getThermalEnergy(iterator Eth, t_iterator T_it, t_iterator T_end) const;

			private:
			Real density{0.};

			/// capacity
			Real capacity{0.};

			// conductivity matrix
			Matrix<Real> conductivity;

			// linear variation of the conductivity (for temperature dependent
			// conductivity)
			Real conductivity_variation{0.};

			// reference temperature for the interpretation of temperature variation
			Real T_ref{0.};
			};

			} // namespace akantu

			#endif // AKANTU_HEAT_DIFFUSION_HH