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// ______ ______ _ _ _____ ______ |
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// | ____| ____| | (_)/ ____| | ____| |
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// | |__ | |__ | | _| (___ ___| |__ |
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// | __| | __| | | | |\___ \ / __| __| |
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// | | | |____| |____| |____) | (__| |____ |
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// |_| |______|______|_|_____/ \___|______| |
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// Finite Elements for Life Sciences and Engineering |
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// |
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// License: LGL2.1 License |
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// FELiScE default license: LICENSE in root folder |
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// |
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// Main authors: |
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// |
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#ifndef _REDUCEDSTEKLOV_HPP_ |
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#define _REDUCEDSTEKLOV_HPP_ |
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// System includes |
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#include <vector> |
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// External includes |
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// Project includes |
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#include "InputOutput/io.hpp" |
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#include "Core/chrono.hpp" |
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namespace felisce { |
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// Forward declaration |
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template< class volumeProblem > |
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class LinearProblemReducedSteklov; |
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template< class volumeProblem > |
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class ReducedSteklov { |
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typename LinearProblemReducedSteklov<volumeProblem>::imgType m_imgType; |
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/// (0) Phase zero: initialization |
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public: |
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/// The constructor |
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ReducedSteklov(PetscMatrix& mass, PetscMatrix& laplacian, MPI_Comm comm, LinearProblemReducedSteklov<volumeProblem>* pb, typename LinearProblemReducedSteklov<volumeProblem>::imgType imType,ChronoInstance::Pointer); |
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private: |
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/// The communicator |
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MPI_Comm m_comm; |
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/// The mass matrix |
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PetscMatrix m_mass; |
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/// The matrix of the laplacian operator |
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PetscMatrix m_laplacian; |
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/// The linearProblem; |
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LinearProblemReducedSteklov<volumeProblem>* m_lpb; |
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/// (1) Phase one: the solution of the laplacian eigenProblem |
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public: |
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void solveLaplacianEP(); |
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private: |
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std::vector<PetscVector> m_laplacianEVec; |
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std::vector<PetscVector> m_imgLaplacianEVec; |
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/// (2) Phase two: steklov eigenPairs |
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public: |
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void steklovEVecEstimate(); |
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void applySteklovOperatorOnLEV(felInt imesh); |
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void approximateSteklovEigenVec(std::vector<PetscVector> &coefficients); |
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void assembleReducedMatrix( PetscMatrix& ReducedMatrix ); |
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/// The approximated Steklov eigen-values |
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std::vector<double> m_eValues; |
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std::vector<PetscVector> m_eVecW; |
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/// (3) Phase three: online phase |
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void applyLowRankSteklov(PetscVector& in, PetscVector& out); |
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std::vector<PetscVector> m_onlineInputs; |
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std::vector<PetscVector> m_onlineOutputs; |
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/// Usefull parameters: |
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std::size_t m_offLineBasisDim; |
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std::size_t m_onLineBasisDim; |
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std::size_t m_currentBasisDim; |
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/// PostProcess |
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void exportAllEig(felInt imesh); |
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/// (4) loading/saving off-line basis |
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private: |
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bool m_loaded; |
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bool loadFromFile(std::string folder); |
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std::vector<PetscVector> m_constantResponse; |
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public: |
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inline bool loadedFromFile() { return m_loaded; } |
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void addConstantResponse(const PetscVector& cR) { |
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m_constantResponse.push_back(cR); |
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} |
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ChronoInstance:: Pointer m_chronoRS; |
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}; |
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} |
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// The implementation |
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#include "Solver/reducedSteklov.hxx" |
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#endif |
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