empirical_cubature_method.EmpiricalCubatureMethod Class Reference

This class selects a subset of elements and corresponding positive weights necessary for the construction of a hyper-reduced order model Reference: Hernandez 2020. More...

Collaboration diagram for empirical_cubature_method.EmpiricalCubatureMethod:

Public Member Functions
def	__init__ (self, ECM_tolerance=0, Filter_tolerance=0, Plotting=False, MaximumNumberUnsuccesfulIterations=100)
	Constructor setting up the parameters for the Element Selection Strategy ECM_tolerance: approximation tolerance for the element selection algorithm Filter_tolerance: parameter limiting the number of candidate points (elements) to those above this tolerance Plotting: whether to plot the error evolution of the element selection algorithm. More...
def	SetUp (self, ResidualsBasis, InitialCandidatesSet=None, constrain_sum_of_weights=True, constrain_conditions=False, number_of_conditions=0)
	Method for setting up the element selection input: - ResidualsBasis: numpy array containing a basis to the residuals projected. More...
def	Initialize (self)
	Method performing calculations required before launching the Calculate method. More...
def	Run (self)
def	expand_candidates_with_complement (self)
def	Calculate (self)
	Method launching the element selection algorithm to find a set of elements: self.z, and wiegths: self.w. More...

Public Attributes
	ECM_tolerance
	Filter_tolerance
	Name
	Plotting
	MaximumNumberUnsuccesfulIterations
	W
	G
	y
	add_constrain_count
	b
	UnsuccesfulIterations
	GnormNOONE
	y_complement
	z
	mPOS
	r
	m
	nerror
	nerrorACTUAL
	success
	w

Detailed Description

This class selects a subset of elements and corresponding positive weights necessary for the construction of a hyper-reduced order model Reference: Hernandez 2020.

"A multiscale method for periodic structures using domain decomposition and ECM-hyperreduction"

Constructor & Destructor Documentation

__init__()

def empirical_cubature_method.EmpiricalCubatureMethod.__init__	(		self,
			ECM_tolerance = 0,
			Filter_tolerance = 0,
			Plotting = False,
			MaximumNumberUnsuccesfulIterations = 100
	)

Constructor setting up the parameters for the Element Selection Strategy ECM_tolerance: approximation tolerance for the element selection algorithm Filter_tolerance: parameter limiting the number of candidate points (elements) to those above this tolerance Plotting: whether to plot the error evolution of the element selection algorithm.

Member Function Documentation

Calculate()

def empirical_cubature_method.EmpiricalCubatureMethod.Calculate

(

self

)

Method launching the element selection algorithm to find a set of elements: self.z, and wiegths: self.w.

expand_candidates_with_complement()

def empirical_cubature_method.EmpiricalCubatureMethod.expand_candidates_with_complement

(

self

)

Initialize()

def empirical_cubature_method.EmpiricalCubatureMethod.Initialize

(

self

)

Method performing calculations required before launching the Calculate method.

Run()

def empirical_cubature_method.EmpiricalCubatureMethod.Run

(

self

)

SetUp()

def empirical_cubature_method.EmpiricalCubatureMethod.SetUp	(		self,
			ResidualsBasis,
			InitialCandidatesSet = None,
			constrain_sum_of_weights = True,
			constrain_conditions = False,
			number_of_conditions = 0
	)

Method for setting up the element selection input: - ResidualsBasis: numpy array containing a basis to the residuals projected.

• constrain_sum_of_weights: enable the user to constrain weights to be the sum of the number of entities.
• constrain_conditions: enable the user to enforce weights to consider conditions (for specific boundary conditions).

Member Data Documentation

add_constrain_count

empirical_cubature_method.EmpiricalCubatureMethod.add_constrain_count

b

empirical_cubature_method.EmpiricalCubatureMethod.b

ECM_tolerance

empirical_cubature_method.EmpiricalCubatureMethod.ECM_tolerance

Filter_tolerance

empirical_cubature_method.EmpiricalCubatureMethod.Filter_tolerance

G

empirical_cubature_method.EmpiricalCubatureMethod.G

GnormNOONE

empirical_cubature_method.EmpiricalCubatureMethod.GnormNOONE

m

empirical_cubature_method.EmpiricalCubatureMethod.m

MaximumNumberUnsuccesfulIterations

empirical_cubature_method.EmpiricalCubatureMethod.MaximumNumberUnsuccesfulIterations

mPOS

empirical_cubature_method.EmpiricalCubatureMethod.mPOS

Name

empirical_cubature_method.EmpiricalCubatureMethod.Name

nerror

empirical_cubature_method.EmpiricalCubatureMethod.nerror

nerrorACTUAL

empirical_cubature_method.EmpiricalCubatureMethod.nerrorACTUAL

Plotting

empirical_cubature_method.EmpiricalCubatureMethod.Plotting

r

empirical_cubature_method.EmpiricalCubatureMethod.r

success

empirical_cubature_method.EmpiricalCubatureMethod.success

UnsuccesfulIterations

empirical_cubature_method.EmpiricalCubatureMethod.UnsuccesfulIterations

W

empirical_cubature_method.EmpiricalCubatureMethod.W

w

empirical_cubature_method.EmpiricalCubatureMethod.w

y

empirical_cubature_method.EmpiricalCubatureMethod.y

y_complement

empirical_cubature_method.EmpiricalCubatureMethod.y_complement

z

empirical_cubature_method.EmpiricalCubatureMethod.z

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The documentation for this class was generated from the following file:

• /home/runner/work/Documentation/Documentation/master/applications/RomApplication/python_scripts/empirical_cubature_method.py