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solverstack
ScalFMM
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d3844968
Commit
d3844968
authored
Jun 23, 2016
by
COULAUD Olivier
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Src/Kernels/Interpolation/FInterpMatrixKernel_TensorialInteractions.hpp
...terpolation/FInterpMatrixKernel_TensorialInteractions.hpp
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Src/Kernels/Interpolation/FInterpMatrixKernel_TensorialInteractions.hpp
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d3844968
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@@ -45,16 +45,42 @@
* The table applyTab provides the indices in the reduced storage table
* corresponding to the application scheme depicted earlier.
*
*
PB:
BEWARE! Homogeneous matrix kernels do not support cell width extension
*
\warning
BEWARE! Homogeneous matrix kernels do not support cell width extension
* yet. Is it possible to find a reference width and a scale factor such that
* only 1 set of M2L opt can be used for all levels??
*
* The definition of the potential p and force f are extended to the case
* of tensorial interaction kernels:
*
*\f$ p_i(x) = K_{ip}(x,y)w_p(y),\f$ \f$ \forall i=1..NPOT, p=1..NPV\f$
*
* \f$f_{ik}= w_p(x)K_{ip,k}(x,y)w_p(y)\f$
*
* Since the interpolation scheme is such that
*
*\f$ p_i(x) \approx S^m(x) L^{m}_{ip}\f$
*
* \f$f_{ik}= w_p(x) \nabla_k S^m(x) L^{m}_{ip}\f$
*
* with
*
* \f$ L^{m}_{ip} = K^{mn}_{ip} S^n(y) w_p(y)\f$ (local expansion)
*
*\f$ M^{m}_{p} = S^n(y) w_p(y)\f$ (multipole expansion)
*
* then the multipole exp have NPV components and the local exp NPOT*NPV.
*
* NB1: Only the computation of forces requires that the sum over p is
* performed at L2P step. It could be done at M2L step for the potential.
*
* NB2: An efficient application of the matrix kernel is highly kernel
* dependent, we recommand overriding the P2M/M2L/L2P function of the kernel
* you are using in order to have opsimal performances + set your own NRHS/NLHS.*
*/
////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////////
//
//
/
// Tensorial Matrix Kernels (NCMP>1)
//
// The definition of the potential p and force f are extended to the case
...
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