Разработка программы решения гармонической задачи методом конечных элементов (Лабораторная работа № 3), страница 6

Us

Uc

краевые условия

x+y

x-y

<2  >2  /\1  \/1

Fs

Fc

1

1

0

1

(-x+y)

(x+y)

x

y

LOS

погрешность

LU

погрешность

0.0000000000e+000

0.0000000000e+000

2.5000000000e-051

2.5000000000e-051

2.5000000000e-051

2.5000000000e-051

0.0000000000e+000

0.0000000000e+000

-2.7083333333e-051

2.7083333333e-051

-2.7083333333e-051

2.7083333333e-051

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

5.0000000000e-001

5.0000000000e-001

4.4408920985e-015

5.0000000000e-001

4.5519144010e-015

0.0000000000e+000

5.0000000000e-001

-5.0000000000e-001

1.7541523789e-014

-5.0000000000e-001

1.7652546092e-014

5.0000000000e-001

5.0000000000e-001

1.0000000000e+000

1.7874590696e-014

1.0000000000e+000

1.7985612999e-014

5.0000000000e-001

5.0000000000e-001

3.4127280756e-016

3.4127280756e-016

3.3306690739e-016

3.3306690739e-016

1.0000000000e+000

5.0000000000e-001

1.5000000000e+000

3.1308289294e-014

1.5000000000e+000

3.1308289294e-014

1.0000000000e+000

5.0000000000e-001

5.0000000000e-001

1.5654144647e-014

5.0000000000e-001

1.5765166950e-014

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

5.0000000000e-001

1.0000000000e+000

1.5000000000e+000

2.2204460493e-016

1.5000000000e+000

2.2204460493e-016

5.0000000000e-001

1.0000000000e+000

-5.0000000000e-001

0.0000000000e+000

-5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

2.0000000000e+000

0.0000000000e+000

2.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

1.4583333333e-051

1.4583333333e-051

1.4583333333e-051

1.4583333333e-051

Us

Uc

краевые условия

x+y

x-y

<1  >1  /\1  \/1

Fs

Fc

1

1

1

1

(-2x)

(2y)

x

y

LOS

погрешность

LU

погрешность

0.0000000000e+000

0.0000000000e+000

5.2083333333e-051

5.2083333333e-051

5.2083333333e-051

5.2083333333e-051

0.0000000000e+000

0.0000000000e+000

-2.0833333333e-052

2.0833333333e-052

-2.0833333333e-052

2.0833333333e-052

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

5.0000000000e-001

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

0.0000000000e+000

5.0000000000e-001

-5.0000000000e-001

0.0000000000e+000

-5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

5.0000000000e-001

1.0000000000e+000

1.5987211555e-014

1.0000000000e+000

1.5876189252e-014

5.0000000000e-001

5.0000000000e-001

8.3613671542e-016

8.3613671542e-016

8.6042284408e-016

8.6042284408e-016

1.0000000000e+000

5.0000000000e-001

1.5000000000e+000

2.2204460493e-016

1.5000000000e+000

2.2204460493e-016

1.0000000000e+000

5.0000000000e-001

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

5.0000000000e-001

1.0000000000e+000

1.5000000000e+000

2.2204460493e-016

1.5000000000e+000

2.2204460493e-016

5.0000000000e-001

1.0000000000e+000

-5.0000000000e-001

0.0000000000e+000

-5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

2.0000000000e+000

0.0000000000e+000

2.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

-1.0416666667e-051

1.0416666667e-051

-1.0416666667e-051

1.0416666667e-051

Us

Uc

краевые условия

x*y

x

<1  >1  /\1  \/1

Fs

Fc

1

1

1

1

(-x-xy)

(xy-x)

x

y

LOS

погрешность

LU

погрешность

0.0000000000e+000

0.0000000000e+000

9.5486111111e-052

9.5486111111e-052

9.5486111111e-052

9.5486111111e-052

0.0000000000e+000

0.0000000000e+000

2.5868055556e-051

2.5868055556e-051

2.5868055556e-051

2.5868055556e-051

5.0000000000e-001

0.0000000000e+000

3.2291666667e-051

3.2291666667e-051

3.2291666667e-051

3.2291666667e-051

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

2.2743055556e-051

2.2743055556e-051

2.2743055556e-051

2.2743055556e-051

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

5.0000000000e-001

2.8125000000e-051

2.8125000000e-051

2.8125000000e-051

2.8125000000e-051

0.0000000000e+000

5.0000000000e-001

5.1041666667e-051

5.1041666667e-051

5.1041666667e-051

5.1041666667e-051

5.0000000000e-001

5.0000000000e-001

2.5000000000e-001

4.3576253717e-015

2.5000000000e-001

4.4408920985e-015

5.0000000000e-001

5.0000000000e-001

5.0000000000e-001

7.6050277187e-015

5.0000000000e-001

7.6605388699e-015

1.0000000000e+000

5.0000000000e-001

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

5.0000000000e-001

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0621724319e-051

1.0621724319e-051

1.8576388889e-051

1.8576388889e-051

0.0000000000e+000

1.0000000000e+000

1.6608687107e-051

1.6608687107e-051

2.5173611111e-051

2.5173611111e-051

5.0000000000e-001

1.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

1.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

Us

Uc

краевые условия

x

1

<1  >1  /\1  \/1

Fs

Fc

1

1

1

1

(-1-x)

(x-1)

x

y

LOS

погрешность

LU

погрешность

0.0000000000e+000

0.0000000000e+000

3.2291666667e-051

3.2291666667e-051

3.2291666667e-051

3.2291666667e-051

0.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

5.0000000000e-001

6.4583333333e-051

6.4583333333e-051

6.4583333333e-051

6.4583333333e-051

0.0000000000e+000

5.0000000000e-001

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

5.0000000000e-001

5.0000000000e-001

5.0000000000e-001

8.7707618945e-015

5.0000000000e-001

8.7152507433e-015

5.0000000000e-001

5.0000000000e-001

1.0000000000e+000

1.5099033135e-014

1.0000000000e+000

1.5321077740e-014

1.0000000000e+000

5.0000000000e-001

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

5.0000000000e-001

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

0.0000000000e+000

1.0000000000e+000

3.2291666667e-051

3.2291666667e-051

3.2291666667e-051

3.2291666667e-051

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

5.0000000000e-001

1.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

0.0000000000e+000

5.0000000000e-001

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

1.0000000000e+000

1.0000000000e+000

0.0000000000e+000

1.0000000000e+000

0.0000000000e+000

Us

Uc

краевые условия

x

1

<3  >3  /\1  \/1

Fs

Fc

1.e+5

1.e-3

1.e-10

1

(-1.e-3 - 1.e-10 * x)

(1.e-3 * x - 1.e-10)

относительная погрешность

сетка

LOS

LU

(0;0)<=(x;y)<=(1;1)

2.7542069368e-013

2.7526722373e-013

nx=10;ny=10

2.8791433478e-012

2.8634417240e-012

nx=100;ny=50

1.2926554074e-014

1.2942146041e-014

nx=4;ny=4

3.0912914397e-012

3.0878651144e-012

nx=50;ny=100