Commit ebec4c9d authored by Jakub Klinkovský's avatar Jakub Klinkovský
Browse files

working on the MHFEM section - added EOC tables

parent 4b398867

content/MHFEM.tex

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@@ -65,7 +65,26 @@ For the purpose of this thesis, the computational domain, boundary conditions, a 
The simulations were computed on the meshes listed in \cref{tab:meshes} which are the same as the triangular and tetrahedral meshes used in \cite{fucik:2019NumDwarf}.

All simulations were computed in \ic{double} precision.



\inline{add EOC tables}

\inline{define $E_{h,S_n}$ and $eoc_{S_n,p}$}

\inline{describe the EOC tables}



\begin{table}[!tb]

    \caption{

        Results of the numerical analysis using the $L_1$ and $L_2$ norms of $E_{h,S_n}$ for the 2D problem on a series of triangular discretizations.

    }

    \label{tab:mhfem:EOC 2D}

    \centering

    \input{./data/mcwhdd/eoc_2D.tex}

\end{table}



\begin{table}[!tb]

    \caption{

        Results of the numerical analysis using the $L_1$ and $L_2$ norms of $E_{h,S_n}$ for the 3D problem on a series of tetrahedral discretizations.

    }

    \label{tab:mhfem:EOC 3D}

    \centering

    \input{./data/mcwhdd/eoc_3D.tex}

\end{table}



\subsection{Benchmarking methodology}

data/mcwhdd/README

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@@ -7,3 +7,13 @@ Original data: 
  (only CPU results for 3D, <=24 ranks)

- rci_3D_multinode: research_data/MHFEM/2022.07.28_mcwhdd_benchmark_rci_tnl_recompute_multi-node/tnl-mhfem/simulation_cases/mcwhdd/

  (only CPU results for 3D, >24 ranks)

- hypre_cpu: research_data/MHFEM/2022.07.29_mcwhdd_benchmark_rci_hypre_without_matrix_conversion/tnl-mhfem/simulation_cases/mcwhdd/

- hypre_gpu: research_data/MHFEM/2022.07.31_mcwhdd_benchmark_rci_hypre_gpu_tuning/tnl-mhfem/simulation_cases/mcwhdd/



EOC tables:

2D: research_data/MHFEM/2021.03.08_mcwhdd_benchmark_rci/2D_triangles/mcwhdd/simulations/mrizka_5-BC-noML_mpi_np24/host-bicgstab+diagonal/eoc-table-S_n.tex

3D: research_data/MHFEM/2022.07.28_mcwhdd_benchmark_rci_tnl_recompute/tnl-mhfem/simulation_cases/mcwhdd/simulations/cube1m_5-BC-noML_mpi_np24/host-bicgstab+diagonal/eoc-table-S_n.tex

Manual changes:

- mesh IDs

- "E_{h,S_n}" and "eoc_{S_n,1}" in the header

- values rounded to 2 decimal places

data/mcwhdd/eoc_2D.tex

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\begin{tabular}{r llllll}

\toprule

\multicolumn{1}{c}{Id.} &

\multicolumn{1}{c}{$ \norm{ E_{h,S_n} }_1 $} &

\multicolumn{1}{c}{$ eoc_{S_n,1} $} &

\multicolumn{1}{c}{$ \norm{ E_{h,S_n} }_2 $} &

\multicolumn{1}{c}{$ eoc_{S_n,2} $} \\

\midrule

2D$^\triangle_1$ & \np{1.54e-2} &                                   & \np{3.25e-2} &                                   \\

2D$^\triangle_2$ & \np{8.14e-3} &  \raisebox{1.5ex}[0ex]{\np{0.97}} & \np{1.89e-2} &  \raisebox{1.5ex}[0ex]{\np{0.84}} \\

2D$^\triangle_3$ & \np{4.44e-3} &  \raisebox{1.5ex}[0ex]{\np{0.80}} & \np{1.19e-2} &  \raisebox{1.5ex}[0ex]{\np{0.61}} \\

2D$^\triangle_4$ & \np{2.41e-3} &  \raisebox{1.5ex}[0ex]{\np{0.97}} & \np{7.79e-3} &  \raisebox{1.5ex}[0ex]{\np{0.67}} \\

2D$^\triangle_5$ & \np{1.29e-3} &  \raisebox{1.5ex}[0ex]{\np{0.86}} & \np{4.90e-3} &  \raisebox{1.5ex}[0ex]{\np{0.64}} \\

\bottomrule

\end{tabular}

data/mcwhdd/eoc_3D.tex

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\begin{tabular}{r llllll}

\toprule

\multicolumn{1}{c}{Id.} &

\multicolumn{1}{c}{$ \norm{ E_{h,S_n} }_1 $} &

\multicolumn{1}{c}{$ eoc_{S_n,1} $} &

\multicolumn{1}{c}{$ \norm{ E_{h,S_n} }_2 $} &

\multicolumn{1}{c}{$ eoc_{S_n,2} $} \\

\midrule

3D$^\triangle_1$ & \np{1.15e-2} &                                   & \np{3.48e-2} &                                   \\

3D$^\triangle_2$ & \np{8.02e-3} &  \raisebox{1.5ex}[0ex]{\np{0.69}} & \np{2.52e-2} &  \raisebox{1.5ex}[0ex]{\np{0.62}} \\

3D$^\triangle_3$ & \np{4.41e-3} &  \raisebox{1.5ex}[0ex]{\np{0.86}} & \np{1.49e-2} &  \raisebox{1.5ex}[0ex]{\np{0.75}} \\

3D$^\triangle_4$ & \np{2.40e-3} &  \raisebox{1.5ex}[0ex]{\np{1.03}} & \np{8.62e-3} &  \raisebox{1.5ex}[0ex]{\np{0.93}} \\

3D$^\triangle_5$ & \np{1.26e-3} &  \raisebox{1.5ex}[0ex]{\np{1.01}} & \np{5.48e-3} &  \raisebox{1.5ex}[0ex]{\np{0.71}} \\

\bottomrule

\end{tabular}