/[escript]/trunk/finley/src/Assemble_PDE_System2_1D.c
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Annotation of /trunk/finley/src/Assemble_PDE_System2_1D.c

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Revision 798 - (hide annotations)
Fri Aug 4 01:05:36 2006 UTC (13 years, 5 months ago) by gross
File MIME type: text/plain
File size: 13314 byte(s)
Reimplementation of the assemblage with persistent jacobeans.
There are also a few changes to the tests which has now
dramatically reduced the memory demand.


1 gross 798 /*
2     ************************************************************
3     * Copyright 2006 by ACcESS MNRF *
4     * *
5     * http://www.access.edu.au *
6     * Primary Business: Queensland, Australia *
7     * Licensed under the Open Software License version 3.0 *
8     * http://www.opensource.org/licenses/osl-3.0.php *
9     * *
10     ************************************************************
11     */
12    
13     /**************************************************************/
14    
15     /* assembles the system of numEq PDEs into the stiffness matrix S right hand side F */
16     /* the shape functions for test and solution must be identical */
17    
18    
19     /* -(A_{k,i,m,j} u_m,j)_i-(B_{k,i,m} u_m)_i+C_{k,m,j} u_m,j-D_{k,m} u_m and -(X_{k,i})_i + Y_k */
20    
21     /* u has p.numComp components in a 1D domain. The shape functions for test and solution must be identical */
22     /* and row_NS == row_NN */
23    
24     /* Shape of the coefficients: */
25    
26     /* A = p.numEqu x 1 x p.numComp x 1 */
27     /* B = 1 x numEqu x p.numComp */
28     /* C = p.numEqu x 1 x p.numComp */
29     /* D = p.numEqu x p.numComp */
30     /* X = p.numEqu x 1 */
31     /* Y = p.numEqu */
32    
33    
34     /**************************************************************/
35    
36     /* Author: gross@access.edu.au */
37     /* Version: $Id:$ */
38    
39     /**************************************************************/
40    
41    
42     #include "Assemble.h"
43     #include "Util.h"
44    
45     /**************************************************************/
46    
47     void Finley_Assemble_PDE_System2_1D(Assemble_Parameters p, Finley_ElementFile* elements,
48     Paso_SystemMatrix* Mat, escriptDataC* F,
49     escriptDataC* A, escriptDataC* B, escriptDataC* C, escriptDataC* D, escriptDataC* X, escriptDataC* Y) {
50    
51     #define DIM 1
52     index_t color;
53     dim_t e;
54     bool_t extendedA=isExpanded(A);
55     bool_t extendedB=isExpanded(B);
56     bool_t extendedC=isExpanded(C);
57     bool_t extendedD=isExpanded(D);
58     bool_t extendedX=isExpanded(X);
59     bool_t extendedY=isExpanded(Y);
60     double *F_p=getSampleData(F,0);
61     double *S=p.row_jac->ReferenceElement->S;
62     dim_t len_EM_S=p.row_NN*p.col_NN*p.numEqu*p.numComp;
63     dim_t len_EM_F=p.row_NN*p.numEqu;
64    
65    
66     #pragma omp parallel private(color)
67     {
68     double EM_S[len_EM_S], EM_F[len_EM_F];
69     index_t row_index[p.row_NN];
70     register dim_t q, s,r,k,m;
71     register double rtmp;
72     double *Vol, *DSDX, *A_p, *B_p, *C_p, *D_p, *X_p, *Y_p;
73     bool_t add_EM_F, add_EM_S;
74    
75     #ifndef PASO_MPI
76     for (color=elements->minColor;color<=elements->maxColor;color++) {
77     /* open loop over all elements: */
78     #pragma omp for private(e) schedule(static)
79     for(e=0;e<elements->numElements;e++){
80     if (elements->Color[e]==color) {
81     #else
82     {
83     for(e=0;e<elements->numElements;e++) {
84     {
85     #endif
86     Vol=&(p.row_jac->volume[INDEX2(0,e,p.numQuad)]);
87     DSDX=&(p.row_jac->DSDX[INDEX4(0,0,0,e,p.row_NN,DIM,p.numQuad)]);
88     for (q=0;q<len_EM_S;++q) EM_S[q]=0;
89     for (q=0;q<len_EM_F;++q) EM_F[q]=0;
90     add_EM_F=FALSE;
91     add_EM_S=FALSE;
92     /**************************************************************/
93     /* process A: */
94     /**************************************************************/
95     A_p=getSampleData(A,e);
96     if (NULL!=A_p) {
97     add_EM_S=TRUE;
98     if (extendedA) {
99     for (s=0;s<p.row_NS;s++) {
100     for (r=0;r<p.col_NS;r++) {
101     for (k=0;k<p.numEqu;k++) {
102     for (m=0;m<p.numComp;m++) {
103     rtmp=0.;
104     for (q=0;q<p.numQuad;q++) {
105     rtmp+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*
106     A_p[INDEX5(k,0,m,0,q,p.numEqu,DIM,p.numComp,DIM)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)];
107     }
108     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp;
109     }
110     }
111     }
112     }
113     } else {
114     for (s=0;s<p.row_NS;s++) {
115     for (r=0;r<p.col_NS;r++) {
116     rtmp=0;
117     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)];
118     for (k=0;k<p.numEqu;k++) {
119     for (m=0;m<p.numComp;m++) {
120     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp*A_p[INDEX4(k,0,m,0,p.numEqu,DIM,p.numComp)];
121     }
122     }
123     }
124     }
125     }
126     }
127     /**************************************************************/
128     /* process B: */
129     /**************************************************************/
130     B_p=getSampleData(B,e);
131     if (NULL!=B_p) {
132     add_EM_S=TRUE;
133     if (extendedB) {
134     for (s=0;s<p.row_NS;s++) {
135     for (r=0;r<p.col_NS;r++) {
136     for (k=0;k<p.numEqu;k++) {
137     for (m=0;m<p.numComp;m++) {
138     rtmp=0.;
139     for (q=0;q<p.numQuad;q++) {
140     rtmp+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*
141     B_p[INDEX4(k,0,m,q,p.numEqu,DIM,p.numComp)]*S[INDEX2(r,q,p.row_NS)];
142     }
143     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp;
144     }
145     }
146     }
147     }
148     } else {
149     for (s=0;s<p.row_NS;s++) {
150     for (r=0;r<p.col_NS;r++) {
151     rtmp=0;
152     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*S[INDEX2(r,q,p.row_NS)];
153     for (k=0;k<p.numEqu;k++) {
154     for (m=0;m<p.numComp;m++) {
155     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp*B_p[INDEX3(k,0,m,p.numEqu,DIM)];
156     }
157     }
158     }
159     }
160     }
161     }
162     /**************************************************************/
163     /* process C: */
164     /**************************************************************/
165     C_p=getSampleData(C,e);
166     if (NULL!=C_p) {
167     add_EM_S=TRUE;
168     if (extendedC) {
169     for (s=0;s<p.row_NS;s++) {
170     for (r=0;r<p.col_NS;r++) {
171     for (k=0;k<p.numEqu;k++) {
172     for (m=0;m<p.numComp;m++) {
173     rtmp=0;
174     for (q=0;q<p.numQuad;q++) {
175     rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*C_p[INDEX4(k,m,0,q,p.numEqu,p.numComp,DIM)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)];
176     }
177     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp;
178     }
179     }
180     }
181     }
182     } else {
183     for (s=0;s<p.row_NS;s++) {
184     for (r=0;r<p.col_NS;r++) {
185     rtmp=0;
186     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*DSDX[INDEX3(r,0,q,p.row_NN,DIM)];
187     for (k=0;k<p.numEqu;k++) {
188     for (m=0;m<p.numComp;m++) {
189     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp*C_p[INDEX3(k,m,0,p.numEqu,p.numComp)];
190     }
191     }
192     }
193     }
194     }
195     }
196     /************************************************************* */
197     /* process D */
198     /**************************************************************/
199     D_p=getSampleData(D,e);
200     if (NULL!=D_p) {
201     add_EM_S=TRUE;
202     if (extendedD) {
203     for (s=0;s<p.row_NS;s++) {
204     for (r=0;r<p.col_NS;r++) {
205     for (k=0;k<p.numEqu;k++) {
206     for (m=0;m<p.numComp;m++) {
207     rtmp=0;
208     for (q=0;q<p.numQuad;q++) {
209     rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*D_p[INDEX3(k,m,q,p.numEqu,p.numComp)]*S[INDEX2(r,q,p.row_NS)];
210     }
211     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp;
212    
213     }
214     }
215     }
216     }
217     } else {
218     for (s=0;s<p.row_NS;s++) {
219     for (r=0;r<p.col_NS;r++) {
220     rtmp=0;
221     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*S[INDEX2(r,q,p.row_NS)];
222     for (k=0;k<p.numEqu;k++) {
223     for (m=0;m<p.numComp;m++) {
224     EM_S[INDEX4(k,m,s,r,p.numEqu,p.numComp,p.row_NN)]+=rtmp*D_p[INDEX2(k,m,p.numEqu)];
225     }
226     }
227     }
228     }
229     }
230     }
231     /**************************************************************/
232     /* process X: */
233     /**************************************************************/
234     X_p=getSampleData(X,e);
235     if (NULL!=X_p) {
236     add_EM_F=TRUE;
237     if (extendedX) {
238     for (s=0;s<p.row_NS;s++) {
239     for (k=0;k<p.numEqu;k++) {
240     rtmp=0;
241     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)]*X_p[INDEX3(k,0,q,p.numEqu,DIM)];
242     EM_F[INDEX2(k,s,p.numEqu)]+=rtmp;
243     }
244     }
245     } else {
246     for (s=0;s<p.row_NS;s++) {
247     rtmp=0;
248     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*DSDX[INDEX3(s,0,q,p.row_NN,DIM)];
249     for (k=0;k<p.numEqu;k++) EM_F[INDEX2(k,s,p.numEqu)]+=rtmp*X_p[INDEX2(k,0,p.numEqu)];
250     }
251     }
252     }
253     /**************************************************************/
254     /* process Y: */
255     /**************************************************************/
256     Y_p=getSampleData(Y,e);
257     if (NULL!=Y_p) {
258     add_EM_F=TRUE;
259     if (extendedY) {
260     for (s=0;s<p.row_NS;s++) {
261     for (k=0;k<p.numEqu;k++) {
262     rtmp=0;
263     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)]*Y_p[INDEX2(k,q,p.numEqu)];
264     EM_F[INDEX2(k,s,p.numEqu)]+=rtmp;
265     }
266     }
267     } else {
268     for (s=0;s<p.row_NS;s++) {
269     rtmp=0;
270     for (q=0;q<p.numQuad;q++) rtmp+=Vol[q]*S[INDEX2(s,q,p.row_NS)];
271     for (k=0;k<p.numEqu;k++) EM_F[INDEX2(k,s,p.numEqu)]+=rtmp*Y_p[k];
272     }
273     }
274     }
275     /***********************************************************************************************/
276     /* add the element matrices onto the matrix and right hand side */
277     /***********************************************************************************************/
278     for (q=0;q<p.row_NN;q++) row_index[q]=p.row_DOF[elements->Nodes[INDEX2(p.row_node[q],e,p.NN)]];
279     if (add_EM_F) Finley_Util_AddScatter(p.row_NN,row_index,p.numEqu,EM_F,F_p, p.row_DOF_UpperBound);
280     if (add_EM_S) Finley_Assemble_addToSystemMatrix(Mat,p.row_NN,row_index,p.numEqu,p.col_NN,row_index,p.numComp,EM_S);
281    
282     } /* end color check */
283     } /* end element loop */
284     } /* end color loop */
285     } /* end parallel region */
286     }
287     /*
288     * $Log$
289     */

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