| Title:
|
On FE-grid relocation in solving unilateral boundary value problems by FEM (English) |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Neittaanmäki, P. |
| Author:
|
Salmenjoki, K. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
105-122 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider FE-grid optimization in elliptic unilateral boundary value problems. The criterion used in grid optimization is the total potential energy of the system. It is shown that minimization of this cost functional means a decrease of the discretization error or a better approximation of the unilateral boundary conditions. Design sensitivity analysis is given with respect to the movement of nodal points. Numerical results for the Dirichlet-Signorini problem for the Laplace equation and the plane elasticity problem with unilateral boundary conditions are given. In plane elasticity we consider problems with and without friction. (English) |
| Keyword:
|
unilateral boundary value problem |
| Keyword:
|
grid relocation |
| Keyword:
|
finite element methods |
| Keyword:
|
Poisson equation |
| Keyword:
|
numerical examples |
| Keyword:
|
nonlinear optimization |
| Keyword:
|
sequential quadratic programming code |
| Keyword:
|
FE-grid relocation |
| MSC:
|
35J05 |
| MSC:
|
65N30 |
| MSC:
|
65N50 |
| idZBL:
|
Zbl 0757.65114 |
| idMR:
|
MR1149161 |
| DOI:
|
10.21136/AM.1992.104495 |
| . |
| Date available:
|
2008-05-20T18:43:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104495 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[7] Eriksson K., Johnson C.: An adaptive finite element method for linear elliptic problems.Mathematics of Computation 50 (1988), 361-383. Zbl 0644.65080, MR 0929542, 10.1090/S0025-5718-1988-0929542-X |
| Reference:
|
[8] Haslinger J., Neittaanmäki P.: Finite Element Approximation of Optimal Shape Design. Theory and Approximation.John Wiley & Sons, London, 1988. MR 0982710 |
| Reference:
|
[9] Haslinger J., Neittaanmäki P., Salmenjoki K.: On optimal mesh design for FEM in unilateral boundary value problems.MAFELAP VI, (J.R. Whiteman ed.) (1988), 103-114, Academic Press, London. MR 0956891 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
