34 typedef typename Base::ALResidual_t ALResidual_t;
35 typedef typename Base::Jacobian_t Jacobian_t;
36 typedef typename Base::dJacobian_t dJacobian_t;
45 using Base::computeJacobian;
46 using Base::computeResidual;
56 const ALResidual_t&ALResidual,
58 :
Base(Jacobian,ALResidual,Force)
68 const ALResidual_t&ALResidual,
70 :
Base(dJacobian,ALResidual,Force)
79 T distance(
const gsVector<T>& DeltaU,
const T DeltaL)
const
81 T A0 = math::pow(
m_phi,2)*m_forcing.dot(m_forcing);
82 return math::pow(DeltaU.dot(DeltaU) + A0*math::pow(DeltaL,2.0),0.5);
101 void predictorGuess();
135 using Base::m_numDof;
137 using Base::m_jacobian;
138 using Base::m_djacobian;
139 using Base::m_residualFun;
140 using Base::m_forcing;
143 using Base::m_options;
155 using Base::m_verbose;
174 using Base::m_negatives;
180 using Base::m_DeltaUold;
181 using Base::m_DeltaLold;
185 using Base::m_Uguess;
198 using Base::m_Lguess;
249#ifndef GISMO_BUILD_LIB
250#include GISMO_HPP_HEADER(gsALMCrisfield.hpp)
Performs the arc length method to solve a nonlinear system of equations.
Definition gsALMBase.h:38
bool m_converged
Convergence result.
Definition gsALMBase.h:454
gsVector< T > m_deltaLs
Vector with lambda updates.
Definition gsALMBase.h:504
virtual void computeLength()
Compute the adaptive arc-length.
Definition gsALMBase.hpp:106
gsVector< T > m_deltaUt
u_t
Definition gsALMBase.h:493
gsVector< T > m_DeltaU
Update of displacement vector.
Definition gsALMBase.h:489
gsVector< T > m_deltaU
Update of update of displacement vector.
Definition gsALMBase.h:495
index_t m_numIterations
Number of Arc Length iterations performed.
Definition gsALMBase.h:418
T m_relax
Relaxation factor.
Definition gsALMBase.h:479
virtual void setLength(T length)
Set arc length to length.
Definition gsALMBase.h:118
gsVector< T > m_U
Displacement vector (present, at previously converged point)
Definition gsALMBase.h:487
virtual void computeResidualNorms()
Compute the residual error norms.
Definition gsALMBase.hpp:151
T m_residueF
Force residuum.
Definition gsALMBase.h:460
index_t m_maxIterations
Maximum number of Arc Length iterations allowed.
Definition gsALMBase.h:421
T m_L
Lambda (present, at previously converged point)
Definition gsALMBase.h:498
T m_DeltaL
Update of lambdaGeneralizedSelfAdjointEigenSolver.
Definition gsALMBase.h:500
virtual void computeUt()
Compute .
Definition gsALMBase.hpp:255
T m_arcLength
Length of the step in the u,f plane.
Definition gsALMBase.h:427
virtual gsStatus computeStability(bool jacobian=true, T shift=-1e2)
Calculates the stability of the solution x.
Definition gsALMBase.hpp:521
gsSparseMatrix< T > m_jacMat
Jacobian matrix.
Definition gsALMBase.h:510
T m_deltaL
Update of update of lambda.
Definition gsALMBase.h:502
virtual void computeUbar()
Compute .
Definition gsALMBase.hpp:249
T m_residueL
Load residuum.
Definition gsALMBase.h:468
T m_residueU
Displacement residuum.
Definition gsALMBase.h:464
gsVector< T > m_deltaUbar
u_bar
Definition gsALMBase.h:491
T m_indicator
Indicator for bifurcation.
Definition gsALMBase.h:475
Performs the Crisfield arc length method to solve a nonlinear equation system.
Definition gsALMCrisfield.h:30
T m_eta
factor (modified arc length method)
Definition gsALMCrisfield.h:219
T m_phi
Scaling parameter.
Definition gsALMCrisfield.h:214
void defaultOptions()
See gsALMBase.
Definition gsALMCrisfield.hpp:23
void predictor()
See gsALMBase.
Definition gsALMCrisfield.hpp:111
void computeLambdasModified()
Compute the load factors.
Definition gsALMCrisfield.hpp:251
void computeLambdaDET()
Compute the load factors.
Definition gsALMCrisfield.hpp:367
void initOutput()
See gsALMBase.
Definition gsALMCrisfield.hpp:480
void computeLambdaDOT()
Compute the load factors.
Definition gsALMCrisfield.hpp:402
void stepOutput()
See gsALMBase.
Definition gsALMCrisfield.hpp:504
gsALMCrisfield(const Jacobian_t &Jacobian, const ALResidual_t &ALResidual, const gsVector< T > &Force)
Constructor.
Definition gsALMCrisfield.h:55
void computeLambdasSimple()
Compute the load factors.
Definition gsALMCrisfield.hpp:213
void iteration()
See gsALMBase.
Definition gsALMCrisfield.hpp:74
void quasiNewtonPredictor()
See gsALMBase.
Definition gsALMCrisfield.hpp:56
void initiateStep()
See gsALMBase.
Definition gsALMCrisfield.hpp:103
void quasiNewtonIteration()
See gsALMBase.
Definition gsALMCrisfield.hpp:66
void initMethods()
See gsALMBase.
Definition gsALMCrisfield.hpp:41
void computeLambdaMU()
Compute the load factors.
Definition gsALMCrisfield.hpp:385
void iterationFinish()
See gsALMBase.
Definition gsALMCrisfield.hpp:194
gsALMCrisfield(const dJacobian_t &dJacobian, const ALResidual_t &ALResidual, const gsVector< T > &Force)
Constructor using the jacobian that takes the solution and the solution step.
Definition gsALMCrisfield.h:67
void computeLambdasComplex()
Compute the load factors.
Definition gsALMCrisfield.hpp:308
void computeLambdas()
Compute the load factors.
Definition gsALMCrisfield.hpp:328
void getOptions()
See gsALMBase.
Definition gsALMCrisfield.hpp:31
void computeLambdasEta()
Compute the load factors.
Definition gsALMCrisfield.hpp:234
A vector with arbitrary coefficient type and fixed or dynamic size.
Definition gsVector.h:37
Base class to perform the arc length method to solve a nonlinear equation system.
#define index_t
Definition gsConfig.h:32
The G+Smo namespace, containing all definitions for the library.
Angle determination method option.
Definition gsALMCrisfield.h:235