Abstract
Mixed boundary-value problems are considered for quasilinear uniformly elliptic differential equations as well as the minimal surface problem. The solution is approximated by the simplest finite element method. Assuming that the triangulation is uniform in the interior of the not necessarily convex domain, convergence is proved for all problems including pointwise estimates. Numerical results are given for a minimal and a capillary surface.
| Original language | German |
|---|---|
| Pages (from-to) | 67-77 |
| Number of pages | 11 |
| Journal | Computing |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1977 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Theoretical Computer Science
- Computational Theory and Mathematics
Cite this
Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen. / Mittelmann, Hans.
In: Computing, Vol. 18, No. 1, 03.1977, p. 67-77.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerische Behandlung nichtlinearer Randwertprobleme mit finiten Elementen
AU - Mittelmann, Hans
PY - 1977/3
Y1 - 1977/3
N2 - Mixed boundary-value problems are considered for quasilinear uniformly elliptic differential equations as well as the minimal surface problem. The solution is approximated by the simplest finite element method. Assuming that the triangulation is uniform in the interior of the not necessarily convex domain, convergence is proved for all problems including pointwise estimates. Numerical results are given for a minimal and a capillary surface.
AB - Mixed boundary-value problems are considered for quasilinear uniformly elliptic differential equations as well as the minimal surface problem. The solution is approximated by the simplest finite element method. Assuming that the triangulation is uniform in the interior of the not necessarily convex domain, convergence is proved for all problems including pointwise estimates. Numerical results are given for a minimal and a capillary surface.
UR - http://www.scopus.com/inward/record.url?scp=34250297684&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34250297684&partnerID=8YFLogxK
U2 - 10.1007/BF02248778
DO - 10.1007/BF02248778
M3 - Article
AN - SCOPUS:34250297684
VL - 18
SP - 67
EP - 77
JO - Computing
JF - Computing
SN - 0010-485X
IS - 1
ER -