#include <dskyline.h>
Public Member Functions | |
| void | addmat_dsky (double c, dskyline &dsky) |
| void | addresses () |
| void | allocadr (long m) |
| void | allocglomat () |
| void | bicg (double *x, double *y, long ni, double err, long &ani, double &ares, double zero, long iv) |
| void | changedecomp () |
| void | column_lengths (gtopology *top) |
| void | column_lengths_elem (long *cn, long ndofe) |
| void | column_lengths_mult (long *ncn1, long *ncn2, long *mcn, long nm) |
| void | copy_dsky (dskyline &dsky) |
| long | decomp () |
| void | diag_check (double thr, double *rhs) |
| dskyline (void) | |
| long | give_negm () |
| void | glocalize (matrix &b, long *rcn, long *ccn) |
| void | initiate (gtopology *top, long ndof, long mespr) |
| void | localize (matrix &b, long *cn) |
| void | localized (double *b, long *cn, long k) |
| void | lu_dsky (double *x, double *y, double zero, long tc) |
| void | lukon_dsky (double *b, double *c, double *x, double *y, double zero, long nr, long tc) |
| void | mtxv_dsky (double *x, double *y) |
| void | mult_localize (long nm, long *ncn1, long *ncn2, long *mcn) |
| void | mxv_dsky (double *x, double *y) |
| void | neglobmat () |
| void | nullsky () |
| void | printdiag (FILE *out) |
| void | printmat (FILE *out) |
| void | scalmat_dsky (double c) |
| void | setfact () |
| void | setnotfact () |
| double * | status () |
| ~dskyline (void) | |
Public Attributes | |
| double * | a |
| global matrix | |
| long * | adr |
| addresses of diagonal entries | |
| long | decompid |
| decomposition (factorization) indicator | |
| long | n |
| number of rows of the matrix | |
| long | negm |
| number of entries in the dskyline, it is equal to the size of the array a | |
class dskyline
serves for matrix storage called double skyline or double profile double skyline storage is available generaly for non-symmetric real matrices
basic data double array a where matrix entries are stored long array adr where addresses of diagonal entries are stored long number n stands for number of rows (columns) of the matrix long number negm stands for number of entries of matrix
let skynegm be the number of stored matrix entries in the skyline storage scheme if the matrix is factorized into form LU, the matrix L is stored in the array a from 0 to skynegm and the matrix U is stored in the array a from skynegm to 2 skynegm in other words, the matrix entries with ri>ci are between 0 and skynegm while the matrix entries with ri<ci are between skynegm and 2 skynegm
basic relations array a has negm components array adr has n+1 components adr[n] is equal to negm
matrices stored in dskyline format can be eliminated
JK
Definition at line 37 of file dskyline.h.
| dskyline | ( | void | ) |
| ~dskyline | ( | void | ) |
Definition at line 23 of file dskyline.cpp.
| void addmat_dsky | ( | double | c, | |
| dskyline & | dsky | |||
| ) |
Definition at line 467 of file dskyline.cpp.
| void addresses | ( | void | ) |
function computes addresses of diagonal entries in the matrix
21.2.2002
Definition at line 208 of file dskyline.cpp.
Referenced by initiate().
| void allocadr | ( | long | m | ) |
function allocates array containing addresses of diagonal entries
| m | - number of unknowns in solved problems |
JK
Definition at line 56 of file dskyline.cpp.
References adr, memset(), and n.
Referenced by initiate().
| void allocglomat | ( | ) |
function allocates array containing global matrix
Definition at line 239 of file dskyline.cpp.
References a, memset(), and negm.
Referenced by initiate().
| void bicg | ( | double * | x, | |
| double * | y, | |||
| long | ni, | |||
| double | err, | |||
| long & | ani, | |||
| double & | ares, | |||
| double | zero, | |||
| long | iv | |||
| ) |
function solves system of linear algebraic equations by bi-conjugate gradient method
| x | - array containing solution | |
| y | - array containing right hand side | |
| ni | - maximum number of iterations | |
| err | - required error (norm of residual vector) | |
| ani | - number of performed iterations | |
| ares | - attained error (norm of residual vector) | |
| zero | - computer zero | |
| iv | - initial values indicator |
iv=0 - initial vector is zero vector iv=1 - initial vector is taken from x array
16.8.2000/20.9.2002
Definition at line 858 of file dskyline.cpp.
References mtxv_dsky(), mxv_dsky(), n, p, and ss().
Referenced by gmatrix::solve_system().
| void changedecomp | ( | ) |
Definition at line 34 of file dskyline.cpp.
References decompid.
Referenced by gmatrix::changedecomp().
| void column_lengths | ( | gtopology * | top | ) |
function prepares array of the column lengths lengths will be used for addresses of the diagonal entries column lenghts are collected in the array address
21.6.2001
Definition at line 137 of file dskyline.cpp.
References column_lengths_elem(), column_lengths_mult(), gtopology::endnodes, gtopology::gedges, gtopology::give_code_numbers(), gtopology::give_edge_code_numbers(), gtopology::give_endnode_code_numbers(), gtopology::give_ndofe(), endnode::ndofn, gedge::ndofnf, gedge::ndofnl, gtopology::ne, gtopology::nen, and gtopology::nged.
Referenced by initiate().
| void column_lengths_elem | ( | long * | cn, | |
| long | ndofe | |||
| ) |
function computes contributions to the column lengths from one element
| cn | - array of code numbers on actual element | |
| ndofe | - number of DOFs on actual element |
21.2.2002
Definition at line 76 of file dskyline.cpp.
References adr.
Referenced by column_lengths().
| void column_lengths_mult | ( | long * | ncn1, | |
| long * | ncn2, | |||
| long * | mcn, | |||
| long | nm | |||
| ) |
function computes contributions to the column lengths from Lagrange multipliers
| ncn1 | - code numbers of first node (on one side of interface) | |
| ncn2 | - code numbers of second node (on the other side of interface) | |
| mcn | - code numbers of multipliers defined in between | |
| nm | - number of multipliers |
JK, 6.8.2008
Definition at line 106 of file dskyline.cpp.
References adr.
Referenced by column_lengths().
| void copy_dsky | ( | dskyline & | dsky | ) |
| long decomp | ( | ) |
Definition at line 29 of file dskyline.cpp.
References decompid.
Referenced by gmatrix::back_substitution(), gmatrix::decomp(), gmatrix::decompose_matrix(), and gmatrix::solve_system().
| void diag_check | ( | double | thr, | |
| double * | rhs | |||
| ) |
function checks diagonal entries
the function is used in some nonlinear nostationary problems where high jumps in coefficients occur some of element matrices are zero matrices and this function puts nonzero values on the diagonal
| thr | - prescribed threshold | |
| rhs | - vector of the right hand side |
JK, 14.7.2008
Definition at line 990 of file dskyline.cpp.
Referenced by gmatrix::diag_check().
| long give_negm | ( | ) |
function returns number of stored matrix entries
JK, 16.8.2007
Definition at line 972 of file dskyline.cpp.
References negm.
Referenced by gmatrix::give_negm().
| void glocalize | ( | matrix & | b, | |
| long * | rcn, | |||
| long * | ccn | |||
| ) |
| void initiate | ( | gtopology * | top, | |
| long | ndof, | |||
| long | mespr | |||
| ) |
Definition at line 390 of file dskyline.cpp.
References addresses(), allocadr(), allocglomat(), column_lengths(), neglobmat(), negm, nullsky(), and status().
Referenced by gmatrix::initiate().
| void localize | ( | matrix & | b, | |
| long * | cn | |||
| ) |
function localizes local matrix b to the global matrix matrix b is stored as a dense matrix in row ordering b is object of class matrix
| b | - array containing local matrix | |
| cn | - array containing code numbers of finite element |
21.2.2002
Definition at line 269 of file dskyline.cpp.
References a, adr, matrix::m, and n.
Referenced by gmatrix::localize().
| void localized | ( | double * | b, | |
| long * | cn, | |||
| long | k | |||
| ) |
function localizes local matrix b to the global matrix matrix b is stored as a dense matrix in row ordering b is object of class matrix
| b | - array containing local matrix | |
| cn | - array containing code numbers of finite element | |
| k | - order of local matrix (number of rows or columns) |
21.2.2002
Definition at line 300 of file dskyline.cpp.
Referenced by gmatrix::localized().
| void lu_dsky | ( | double * | x, | |
| double * | y, | |||
| double | zero, | |||
| long | tc | |||
| ) |
function decomposes general real matrix to LU form
| l_11 0 0 0 | | l_21 l_22 0 0 | L = | l_31 l_32 l_33 0 | | . . . . | | . . . . |
| 1 u_12 u_13 u_14 ... | | 0 1 u_23 u_24 ... | U = | 0 0 1 u_34 ... | | 0 0 0 1 ... | | . . . . |
| x | - array containing left hand side | |
| x | - array containing left hand side | |
| zero | - computer zero | |
| tc | - type of computation |
tc=1 - LU decomposition and back substitution tc=2 - only LU decomposition tc=3 - only back substitution
JK, 21.2.2002
Definition at line 540 of file dskyline.cpp.
References a, adr, decompid, n, and print_err().
Referenced by gmatrix::back_substitution(), gmatrix::decompose_matrix(), and gmatrix::solve_system().
| void lukon_dsky | ( | double * | b, | |
| double * | c, | |||
| double * | x, | |||
| double * | y, | |||
| double | zero, | |||
| long | nr, | |||
| long | tc | |||
| ) |
function eliminates internal unknowns of non-symmetric system of equations function is based on L.U matrix decomposition
| b | - reduced matrix (stored as dense matrix) | |
| c | - condensed right hand side vector | |
| x | - array containing unknowns (left hand side) | |
| y | - array containing right hand side | |
| zero | - computer zero | |
| nr | - number of remaining unknowns | |
| tc | - type of computation |
JK, 18.4.2002
Definition at line 634 of file dskyline.cpp.
References a, adr, decompid, n, and print_err().
Referenced by gmatrix::condense().
| void mtxv_dsky | ( | double * | x, | |
| double * | y | |||
| ) |
| void mult_localize | ( | long | nm, | |
| long * | ncn1, | |||
| long * | ncn2, | |||
| long * | mcn | |||
| ) |
function localizes contributions from Lagrange multipliers to the dskyline storage
| nm | - number of Lagrange multipliers | |
| ncn1 | - nodal code numbers of the first node (on one side of interface) | |
| ncn2 | - nodal code numbers of the second node (on the other side of interface) | |
| mcn | - code numbers of Lagrange multipliers defined between the previous nodes |
JK, 8.8.2008
Definition at line 362 of file dskyline.cpp.
Referenced by gmatrix::mult_localize().
| void mxv_dsky | ( | double * | x, | |
| double * | y | |||
| ) |
| void neglobmat | ( | ) |
function determines number of entries in the dskyline which is equal to the size of the array containing the global matrix
21.2.2002
Definition at line 229 of file dskyline.cpp.
Referenced by initiate().
| void nullsky | ( | ) |
function fills dskyline array by zero
21.2.2002
Definition at line 251 of file dskyline.cpp.
Referenced by initiate().
| void printdiag | ( | FILE * | out | ) |
Definition at line 956 of file dskyline.cpp.
Referenced by gmatrix::printdiag().
| void printmat | ( | FILE * | out | ) |
Definition at line 927 of file dskyline.cpp.
Referenced by gmatrix::printmat().
| void scalmat_dsky | ( | double | c | ) |
Definition at line 475 of file dskyline.cpp.
| void setfact | ( | ) |
Definition at line 40 of file dskyline.cpp.
References decompid.
| void setnotfact | ( | ) |
| double * status | ( | ) |
| double* a |
global matrix
Definition at line 83 of file dskyline.h.
Referenced by addmat_dsky(), allocglomat(), copy_dsky(), diag_check(), dskyline(), glocalize(), localize(), localized(), lu_dsky(), lukon_dsky(), mtxv_dsky(), mult_localize(), mxv_dsky(), nullsky(), printdiag(), printmat(), scalmat_dsky(), status(), and ~dskyline().
| long* adr |
addresses of diagonal entries
Definition at line 81 of file dskyline.h.
Referenced by addresses(), allocadr(), column_lengths_elem(), column_lengths_mult(), copy_dsky(), diag_check(), dskyline(), glocalize(), localize(), localized(), lu_dsky(), lukon_dsky(), mtxv_dsky(), mult_localize(), mxv_dsky(), neglobmat(), printdiag(), printmat(), and ~dskyline().
| long decompid |
decomposition (factorization) indicator
Definition at line 85 of file dskyline.h.
Referenced by changedecomp(), decomp(), dskyline(), lu_dsky(), lukon_dsky(), setfact(), and setnotfact().
| long n |
number of rows of the matrix
Definition at line 77 of file dskyline.h.
Referenced by addresses(), allocadr(), bicg(), copy_dsky(), diag_check(), dskyline(), glocalize(), localize(), localized(), lu_dsky(), lukon_dsky(), mtxv_dsky(), mult_localize(), mxv_dsky(), neglobmat(), printdiag(), and printmat().
| long negm |
number of entries in the dskyline, it is equal to the size of the array a
Definition at line 79 of file dskyline.h.
Referenced by addmat_dsky(), allocglomat(), copy_dsky(), dskyline(), give_negm(), initiate(), neglobmat(), nullsky(), and scalmat_dsky().
1.6.2