XC Open source finite element analysis program
BisectionLineSearch.h
1 //----------------------------------------------------------------------------
2 // XC program; finite element analysis code
3 // for structural analysis and design.
4 //
5 // Copyright (C) Luis Claudio Pérez Tato
6 //
7 // This program derives from OpenSees <http://opensees.berkeley.edu>
8 // developed by the «Pacific earthquake engineering research center».
9 //
10 // Except for the restrictions that may arise from the copyright
11 // of the original program (see copyright_opensees.txt)
12 // XC is free software: you can redistribute it and/or modify
13 // it under the terms of the GNU General Public License as published by
14 // the Free Software Foundation, either version 3 of the License, or
15 // (at your option) any later version.
16 //
17 // This software is distributed in the hope that it will be useful, but
18 // WITHOUT ANY WARRANTY; without even the implied warranty of
19 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
20 // GNU General Public License for more details.
21 //
22 //
23 // You should have received a copy of the GNU General Public License
24 // along with this program.
25 // If not, see <http://www.gnu.org/licenses/>.
26 //----------------------------------------------------------------------------
27 /* ****************************************************************** **
28 ** OpenSees - Open System for Earthquake Engineering Simulation **
29 ** Pacific Earthquake Engineering Research Center **
30 ** **
31 ** **
32 ** (C) Copyright 1999, The Regents of the University of California **
33 ** All Rights Reserved. **
34 ** **
35 ** Commercial use of this program without express permission of the **
36 ** University of California, Berkeley, is strictly prohibited. See **
37 ** file 'COPYRIGHT' in main directory for information on usage and **
38 ** redistribution, and for a DISCLAIMER OF ALL WARRANTIES. **
39 ** **
40 ** Developed by: **
41 ** Frank McKenna (fmckenna@ce.berkeley.edu) **
42 ** Gregory L. Fenves (fenves@ce.berkeley.edu) **
43 ** Filip C. Filippou (filippou@ce.berkeley.edu) **
44 ** **
45 ** ****************************************************************** */
46 
47 // $Revision: 1.3 $
48 // $Date: 2003/02/14 23:00:42 $
49 // $Source: /usr/local/cvs/OpenSees/SRC/analysis/algorithm/equiSolnAlgo/BisectionLineSearch.h,v $
50 
51 // Written: fmk
52 // Created: 11/01
53 
54 // Description: This file contains the class definition for BisectinLineSearch.
55 // This performs the search for U(i+1) = U(i) + eta * deltaU(i) by using the
56 // bisection method to find the best solution.
57 //
58 // eta(j+1) = eta(l) + eta(u)
59 // ---------------
60 // 2.0
61 //
62 // where s(j) = U(i+1,j) ^ R(U(i+1, j))
63 //
64 // and U(i+1,j) = U(i) + eta(j)*deltaU(i)
65 //
66 // note eta(u) and eta(l) must bracket the solution, i.e. s(u)*s(l)<0,
67 //
68 // if s(eta(j+1))*s(l) < 0 { eta(u) = eta(j+1) and s(u) = s(eta(j+1))
69 // if s(eta(j+1))*s(u) < 0 { eta(l) = eta(j+1) and s(l) = s(eta(j+1))
70 // if s(eta(j+1))*s(u) == 0 SOLN FOUND.
71 
72 #ifndef BisectionLineSearch_h
73 #define BisectionLineSearch_h
74 
75 #include <solution/analysis/algorithm/equiSolnAlgo/lineSearch/LineSearch.h>
76 
77 namespace XC {
78 class Vector;
79 
81 //
84  {
85  friend class NewtonLineSearch;
86  friend class FEM_ObjectBroker;
87  BisectionLineSearch(void);
88  LineSearch *getCopy(void) const;
89  public:
90 
91  int search(double s0,
92  double s1,
93  LinearSOE &theSOE,
94  IncrementalIntegrator &theIntegrator);
95  };
96 inline LineSearch *BisectionLineSearch::getCopy(void) const
97  { return new BisectionLineSearch(*this); }
98 } // end of XC namespace
99 
100 #endif
101 
102 
performs a Newton-Raphson with line search solution algorithm in solving the equations as outline in ...
Definition: NewtonLineSearch.h:77
IncrementalIntegrator is an algorithmic class for setting up the finite element equations in an incre...
Definition: IncrementalIntegrator.h:87
LineSearch is an abstract base class, i.e. no objects of it&#39;s type can be created. Its subclasses seek to find a better solution to R(U)=0 than the solution Ui-1 + delta Ui would give, typically Ui = Ui-1 + factor * delta Ui.
Definition: LineSearch.h:85
FEM_ObjectBroker is is an object broker class for the finite element method. All methods are virtual ...
Definition: FEM_ObjectBroker.h:138
Bisection line search solution algorithm.
Definition: BisectionLineSearch.h:83
Linea system of equations. This is the class definition for LinearSOE. LinearSOE is an abstract base ...
Definition: LinearSOE.h:86
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Definition: ContinuaReprComponent.h:34