PolyFEM
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MatrixLagrangianForm.hpp
Go to the documentation of this file.
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#pragma once
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#include "
AugmentedLagrangianForm.hpp
"
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namespace
polyfem::solver
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{
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class
MatrixLagrangianForm
:
public
AugmentedLagrangianForm
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{
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public
:
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MatrixLagrangianForm
(
const
StiffnessMatrix
&A,
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const
Eigen::MatrixXd &b,
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const
StiffnessMatrix
&A_proj = {},
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const
Eigen::MatrixXd &b_pro = {});
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std::string
name
()
const override
{
return
"generic-lagrangian"
; }
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double
value_unweighted
(
const
Eigen::VectorXd &
x
)
const override
;
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void
first_derivative_unweighted
(
const
Eigen::VectorXd &
x
, Eigen::VectorXd &gradv)
const override
;
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void
second_derivative_unweighted
(
const
Eigen::VectorXd &
x
,
StiffnessMatrix
&hessian)
const override
;
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public
:
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void
update_lagrangian
(
const
Eigen::VectorXd &
x
,
const
double
k_al)
override
;
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double
compute_error
(
const
Eigen::VectorXd &
x
)
const override
;
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private
:
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StiffnessMatrix
AtA
;
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Eigen::VectorXd
Atb
;
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};
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}
// namespace polyfem::solver
AugmentedLagrangianForm.hpp
x
int x
Definition
SplineBasis3d.cpp:55
polyfem::solver::AugmentedLagrangianForm
Form of the augmented lagrangian.
Definition
AugmentedLagrangianForm.hpp:9
polyfem::solver::MatrixLagrangianForm
Form of the lagrangian in augmented lagrangian.
Definition
MatrixLagrangianForm.hpp:9
polyfem::solver::MatrixLagrangianForm::name
std::string name() const override
Definition
MatrixLagrangianForm.hpp:21
polyfem::solver::MatrixLagrangianForm::first_derivative_unweighted
void first_derivative_unweighted(const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override
Compute the first derivative of the value wrt x.
Definition
MatrixLagrangianForm.cpp:35
polyfem::solver::MatrixLagrangianForm::update_lagrangian
void update_lagrangian(const Eigen::VectorXd &x, const double k_al) override
Definition
MatrixLagrangianForm.cpp:45
polyfem::solver::MatrixLagrangianForm::second_derivative_unweighted
void second_derivative_unweighted(const Eigen::VectorXd &x, StiffnessMatrix &hessian) const override
Compute the second derivative of the value wrt x.
Definition
MatrixLagrangianForm.cpp:40
polyfem::solver::MatrixLagrangianForm::AtA
StiffnessMatrix AtA
Definition
MatrixLagrangianForm.hpp:43
polyfem::solver::MatrixLagrangianForm::compute_error
double compute_error(const Eigen::VectorXd &x) const override
Definition
MatrixLagrangianForm.cpp:51
polyfem::solver::MatrixLagrangianForm::Atb
Eigen::VectorXd Atb
Definition
MatrixLagrangianForm.hpp:44
polyfem::solver::MatrixLagrangianForm::value_unweighted
double value_unweighted(const Eigen::VectorXd &x) const override
Compute the value of the form.
Definition
MatrixLagrangianForm.cpp:27
polyfem::solver
Definition
OptState.hpp:16
polyfem::StiffnessMatrix
Eigen::SparseMatrix< double, Eigen::ColMajor > StiffnessMatrix
Definition
Types.hpp:22
src
polyfem
solver
forms
lagrangian
MatrixLagrangianForm.hpp
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