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TyingsPeriodic.h
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Tue, May 28, 10:02

TyingsPeriodic.h
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/**
Methods to store and apply DOF tyings.
\file TyingsPeriodic.h
\copyright Copyright 2017. Tom de Geus. All rights reserved.
\license This project is released under the GNU Public License (GPLv3).
*/
#ifndef GOOSEFEM_TYINGSPERIODIC_H
#define GOOSEFEM_TYINGSPERIODIC_H
#include "config.h"
#include <Eigen/Eigen>
#include <Eigen/Sparse>
namespace GooseFEM {
namespace Tyings {
class Periodic {
public:
// Constructors
Periodic() = default;
Periodic(
const xt::xtensor<double, 2>& coor,
const xt::xtensor<size_t, 2>& dofs,
const xt::xtensor<size_t, 2>& control_dofs,
const xt::xtensor<size_t, 2>& nodal_tyings); // (independent, dependent)
Periodic(
const xt::xtensor<double, 2>& coor,
const xt::xtensor<size_t, 2>& dofs,
const xt::xtensor<size_t, 2>& control_dofs,
const xt::xtensor<size_t, 2>& nodal_tyings, // (independent, dependent)
const xt::xtensor<size_t, 1>& iip);
// Dimensions
size_t nnd() const; // dependent DOFs
size_t nni() const; // independent DOFs
size_t nnu() const; // independent, unknown DOFs
size_t nnp() const; // independent, prescribed DOFs
// DOF lists
xt::xtensor<size_t, 2> dofs() const; // DOFs
xt::xtensor<size_t, 2> control() const; // control DOFs
xt::xtensor<size_t, 1> iid() const; // dependent DOFs
xt::xtensor<size_t, 1> iii() const; // independent DOFs
xt::xtensor<size_t, 1> iiu() const; // independent, unknown DOFs
xt::xtensor<size_t, 1> iip() const; // independent, prescribed DOFs
// Return the tying matrix
// u_d = C_di * u_i
// u_d = [C_du, C_dp]^T * [u_u, u_p] = C_du * u_u + C_dp * u_p
Eigen::SparseMatrix<double> Cdi() const;
Eigen::SparseMatrix<double> Cdu() const;
Eigen::SparseMatrix<double> Cdp() const;
private:
size_t m_nnu;
size_t m_nnp;
size_t m_nni;
size_t m_nnd;
size_t m_ndim;
size_t m_nties; // number of nodal ties
xt::xtensor<size_t, 2> m_dofs;
xt::xtensor<size_t, 2> m_control;
xt::xtensor<size_t, 2> m_tyings; // nodal ties: (independent, dependent)
xt::xtensor<double, 2> m_coor;
};
class Control {
public:
// Constructors
Control() = default;
Control(const xt::xtensor<double, 2>& coor, const xt::xtensor<size_t, 2>& dofs);
// Extract new lists
xt::xtensor<double, 2> coor() const;
xt::xtensor<size_t, 2> dofs() const;
xt::xtensor<size_t, 2> controlDofs() const;
xt::xtensor<size_t, 1> controlNodes() const;
private:
xt::xtensor<double, 2> m_coor;
xt::xtensor<size_t, 2> m_dofs;
xt::xtensor<size_t, 2> m_control_dofs;
xt::xtensor<size_t, 1> m_control_nodes;
};
} // namespace Tyings
} // namespace GooseFEM
#include "TyingsPeriodic.hpp"
#endif

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