fabiana de fátima giacomini - PG-Mec Programa de Pós-Graduação ...
fabiana de fátima giacomini - PG-Mec Programa de Pós-Graduação ...
fabiana de fátima giacomini - PG-Mec Programa de Pós-Graduação ...
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150<br />
As Tabs. E.12 a E.18 mostram os valores da or<strong>de</strong>m assintótica ( pL ) obtida a priori e<br />
das or<strong>de</strong>ns efetiva ( pE ) e aparente ( pU ) do erro <strong>de</strong> discretização obtidas a posteriori para o<br />
termo fonte integrado analiticamente e pela regra do retângulo.<br />
Tabela E.12: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />
T com as integrações analítica e regra do retângulo<br />
∆ x<br />
interesse ( )<br />
nod<br />
pE<br />
pL nod<br />
nod<br />
pU<br />
nod<br />
Fonte analítico<br />
pE<br />
nod<br />
Fonte numérico<br />
pU<br />
nod<br />
Fonte numérico<br />
Fonte analítico<br />
1 2,00000000000000<br />
0,33333 2,00000000000000 1,74779200501901 0,352371227473211<br />
0,11111 2,00000000000000 1,96220315668461 1,71555759975243 1,82601009498783 0,550476701286758<br />
0,03704 2,00000000000000 1,99562560202415 1,95791453912591 1,98047957973664 1,80419231793848<br />
0,01235 2,00000000000000 1,99951168805303 1,99513837859561 1,99783000000000 1,97828164511878<br />
0,00412 2,00000000000000 1,99994571496070 1,99945741649385 1,99975867496280 1,99758673043475<br />
0,00137 2,00000000000000 1,99999396798114 1,99993968310831 1,99997318569054 1,99973185667823<br />
4,57247E-4 2,00000000000000 1,99999932977139 1,99999329775458 1,99999702062714 1,99997020626861<br />
1,52416E-4 2,00000000000000 1,99999992553010 1,99999925530151 1,99999966895851 1,99999668958504<br />
5,08053E-5 2,00000000000000 1,99999999172557 1,99999991725567 1,99999996321761 1,99999963217611<br />
1,69351E-5 2,00000000000000 1,99999999908062 1,99999999080618 1,99999999591307 1,99999995913068<br />
5,64503E-6 2,00000000000000 1,99999999989785 1,99999999897846 1,99999999954590 1,99999999545896<br />
1,88168E-6 2,00000000000000 1,99999999998865 1,99999999988650 1,99999999994954 1,99999999949544<br />
6,27225E-7 2,00000000000000 1,99999999999874 1,99999999998739 1,99999999999439 1,99999999994394<br />
2,09075E-7 2,00000000000000 2,00000000000004 1,99999999999857 1,99999999999967 1,99999999999373<br />
6,96917E-8 2,00000000000000 1,99999999999693 2,00000000000043 1,99999999999501 2,00000000000026<br />
2,32306E-8 2,00000000000000 2,00000000022106 1,99999999996892 2,00000000035970 1,99999999994942<br />
Tabela E.13: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />
T com as integrações analítica e regra do retângulo<br />
∆ x<br />
interesse ( )<br />
med<br />
pE<br />
pL med<br />
med<br />
pU<br />
med<br />
Fonte analítico<br />
pE<br />
med<br />
Fonte numérico<br />
pU<br />
med<br />
Fonte numérico<br />
Fonte analítico<br />
0,5 2,00000000000000<br />
0,25 2,00000000000000 1,89942434885691 1,39994966712970<br />
0,125 2,00000000000000 1,97264861872531 1,87351184883786 1,85198496806144 1,18070308217975<br />
0,0625 2,00000000000000 1,99300841602897 1,96575311137246 1,96301807782856 1,81160913835443<br />
0,03125 2,00000000000000 1,99824221829837 1,99125674173387 1,99075438788667 1,95357214732054<br />
0,01563 2,00000000000000 1,99955993225394 1,99780253389606 1,99768856565732 1,98843060501762<br />
0,00781 2,00000000000000 1,99988994409815 1,99944990033667 1,99942213909738 1,99710993560240<br />
0,00391 2,00000000000000 1,99997248358810 1,99986242918569 1,99985553462392 1,99927762569020<br />
0,00195 2,00000000000000 1,99999312074473 1,99996560442656 1,99996388364649 1,99981941526910<br />
9,76563E-4 2,00000000000000 1,99999828017666 1,99999140092725 1,99999097091103 1,99995485436995<br />
4,88281E-4 2,00000000000000 1,99999957004357 1,99999785022060 1,99999774272772 1,99998871362702<br />
2,44141E-4 2,00000000000000 1,99999989251086 1,99999946255445 1,99999943568193 1,99999717840891<br />
1,2207E-4 2,00000000000000 1,99999997312771 1,99999986563857 1,99999985892048 1,99999929460236<br />
6,10352E-5 2,00000000000000 1,99999999328193 1,99999996640964 1,99999996473012 1,99999982365060<br />
3,05176E-5 2,00000000000000 1,99999999832048 1,99999999160241 1,99999999118253 1,99999995591265<br />
1,52588E-5 2,00000000000000 1,99999999958012 1,99999999790060 1,99999999779563 1,99999998897816<br />
7,62939E-6 2,00000000000000 1,99999999989503 1,99999999947515 1,99999999944891 1,99999999724454<br />
3,8147E-6 2,00000000000000 1,99999999997376 1,99999999986879 1,99999999986223 1,99999999931114<br />
1,90735E-6 2,00000000000000 1,99999999999344 1,99999999996720 1,99999999996556 1,99999999982778<br />
9,53674E-7 2,00000000000000 1,99999999999836 1,99999999999180 1,99999999999138 1,99999999995695<br />
4,76837E-7 2,00000000000000 1,99999999999956 1,99999999999795 1,99999999999779 1,99999999998924<br />
2,38419E-7 2,00000000000000 1,99999999999994 1,99999999999944 1,99999999999954 1,99999999999721<br />
1,19209E-7 2,00000000000000 2,00000000000170 1,99999999999935 2,00000000000332 1,99999999999828<br />
5,96046E-8 2,00000000000000 2,00000000045523 1,99999999985053 2,00000000091043 1,99999999970095<br />
2,98023E-8 2,00000000000000 2,00000000376413 1,99999999935226 2,00000000752825 1,99999999870450<br />
1,49012E-8 2,00000000000000 1,99999999593384 2,00000000637422 1,99999999186768 2,00000001274843
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