Computer Programs
NEA-0930 FELPO.
last modified: 12-JUN-1985 | catalog | categories | new | search |

# NEA-0930 FELPO.

#### FELPO, 2-D Minimization of Quadratic Functionals by Finite Elements Method

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1. NAME OR DESIGNATION OF PROGRAM:  FELPO.
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2. COMPUTERS
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Program name Package id Status Status date
FELPO NEA-0930/01 Tested 12-JUN-1985

Machines used:

Package ID Orig. computer Test computer
NEA-0930/01 DEC VAX 11/780 DEC VAX 11/780
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3. DESCRIPTION OF PROBLEM OR FUNCTION

FELPO is a finite element program for the solution of minimization problems of quadratic functionals on two-dimensional domains, as they arise in the numerical solution of elliptical partial differential equations of second order.
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4. METHOD OF SOLUTION

Consider a domain G(X,Y) with the boundary DG,  where a function U(X,Y) has to be calculated, which minimzes the quadratic functional over G with the integrand:

F(U) = F1*UXX2 + 2*F2*UX*UY + F3*UYY2 + F4*U2 + 2*F5*U

The Fi are functions of X and Y, which have to satisfy the conditions:

F1,F3 > 0; F2 >=0   and   F1*F3 - F2*F2 > 0

On the boundary DGE, essential boundary conditions

U=U(DGE)

have to be prescribed. On the rest of the boundary DG-DGE, the solution fulfills the natural boundary conditions

(F1*UX+F2*UY)*NX+(F2*UX+F3*UY)*NY = 0

automatically. NX and NY are the direction-cosines of the outer normal of the boundary.

The solution is equivalent to the solution of the partial differential equation

DX(F1*UX+F2*UY) + DY(F2*UX+F3*UY) = F4*U + F5

under the boundary conditions described above.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:
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6. TYPICAL RUNNING TIME:
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7. UNUSUAL FEATURES OF THE PROGRAM:
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8. RELATED AND AUXILIARY PROGRAMS:
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9. STATUS
Package ID Status date Status
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10. REFERENCES:
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11. MACHINE REQUIREMENTS

Less than 180K bytes of main storage are required for execution on VAX-11/780.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NEA-0930/01 FORTRAN-IV
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:
VMS V3.4 (VAX-11/780).
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:
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15. NAME AND ESTABLISHMENT OF AUTHOR

Jens Poepplau
Scientific Control Systems GmbH (SCS)
Oehleckerring 40
D-2000 HAMBURG 62
Federal Republic of Germany
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16. MATERIAL AVAILABLE
NEA-0930/01
File name File description Records
NEA0930_01.003 INFORMATION FILE 51
NEA0930_01.004 FELPO SOURCE PROGRAM 1936
NEA0930_01.005 FKOFF ROUTINE FOR TEST CASE 1 32
NEA0930_01.006 FKOFF ROUTINE FOR TEST CASE 2 31
NEA0930_01.007 FKOFF ROUTINE FOR TEST CASE 3 41
NEA0930_01.008 FKOFF ROUTINE FOR TEST CASE 4 35
NEA0930_01.009 COMMAND FILE TO RUN TEST CASES 43
NEA0930_01.010 FELPO TEST CASE 1.1 INPUT DATA 48
NEA0930_01.011 FELPO TEST CASE 1.1 PRINTED OUTPUT 150
NEA0930_01.012 FELPO TEST CASE 1.2 INPUT DATA 48
NEA0930_01.013 FELPO TEST CASE 1.2 PRINTED OUTPUT 150
NEA0930_01.014 FELPO TEST CASE 1.3 INPUT DATA 27
NEA0930_01.015 FELPO TEST CASE 1.3 PRINTED OUTPUT 105
NEA0930_01.016 FELPO TEST CASE 2.1 INPUT DATA 87
NEA0930_01.017 FELPO TEST CASE 2.1 PRINTED OUTPUT 218
NEA0930_01.018 FELPO TEST CASE 3.1 INPUT DATA 294
NEA0930_01.019 FELPO TEST CASE 3.1 PRINTED OUTPUT 644
NEA0930_01.020 FELPO TEST CASE 3.2 INPUT DATA 294
NEA0930_01.021 FELPO TEST CASE 3.2 PRINTED OUTPUT 614
NEA0930_01.022 FELPO TEST CASE 4.1 INPUT DATA 79
NEA0930_01.023 FELPO TEST CASE 4.1 PRINTED OUTPUT 210
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17. CATEGORIES
• P. General Mathematical and Computing System Routines

Keywords: finite element method, partial differential equations, two-dimensional.