Laplacian.hpp

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/*!
    @file Laplacian Analytical Solution
    @brief This file contains the exact solution and some additive function for testing codes

    @author Gwenol Grandperrin <gwenol.grandperrin@epfl.ch>
    @maintainer Gwenol Grandperrin <gwenol.grandperrin@epfl.ch>

    @date 2011-08-03

    Exact solution for the problem \f$-\Delta\mathbf{u}=\mathbf{f} on the cube [0,1]x[0,1]x[0,1].
 */

#ifndef LAPLACIAN_HPP
#define LAPLACIAN_HPP 1

#include <lifev/core/LifeV.hpp>

namespace LifeV
{

class Laplacian
{
public:
    static Real f ( const Real& t, const Real& x, const Real& y,
                    const Real& z, const ID& i );
    static Real uexact ( const Real& t, const Real& x, const Real& y,
                         const Real& z, const ID& i );

    static Real duexactdx ( const Real& t, const Real& x, const Real& y,
                            const Real& z, const ID& i );

    static Real duexactdy ( const Real& t, const Real& x, const Real& y,
                            const Real& z, const ID& i );

    static Real duexactdz ( const Real& t, const Real& x, const Real& y,
                            const Real& z, const ID& i );

    static void setModes ( const Int& xMode, const Int& yMode, const Int& zMode );

private:
    static Int  M_xMode;
    static Int  M_yMode;
    static Int  M_zMode;

}; // class Laplacian

} // namespace LifeV

#endif /* LAPLACIAN_HPP */