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/***********************************************/
/**
* @file kernelPoisson.h
*
* @brief Poisson kernel (Potential).
* @see Kernel
*
* @author Torsten Mayer-Guerr
* @date 2003-09-20
*
*/
/***********************************************/
#ifndef __GROOPS_KERNELPOISSON__
#define __GROOPS_KERNELPOISSON__
// Latex documentation
#ifdef DOCSTRING_Kernel
static const char *docstringKernelPoisson = R"(
\subsection{Potential}
The Abel-Poisson kernel is given by
\begin{equation}
K(\cos\psi,r,R) = \frac{R(r^2-R^2)}{l^3},
\end{equation}
and the coefficients in \eqref{eq.kernel} are
\begin{equation}
k_n = 1.
\end{equation}
)";
#endif
/***********************************************/
#include "classes/kernel/kernel.h"
/***** CLASS ***********************************/
/** @brief Poisson kernel (Potential).
* @ingroup kernelGroup
* @see Kernel */
class KernelPoisson : public Kernel
{
public:
KernelPoisson(Config &/*config*/) {}
Double kernel (const Vector3d &p, const Vector3d &q) const;
Double radialDerivative (const Vector3d &p, const Vector3d &q) const;
Vector3d gradient (const Vector3d &p, const Vector3d &q) const;
Tensor3d gradientGradient (const Vector3d &p, const Vector3d &q) const;
Double inverseKernel (const Vector3d &p, const Vector3d &q, const Kernel &kernel) const;
Double inverseKernel (const Time &time, const Vector3d &p, const GravityfieldBase &field) const;
Vector coefficients (const Vector3d &p, UInt degree) const;
Vector inverseCoefficients(const Vector3d &p, UInt degree, Bool interior) const;
};
/***********************************************/
#endif
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