Name
Abstract | ||
|---|---|---|
There already exists avariety of softwares for generating minimal surfaces of special types. However, the convergence theories for those approximating methods are always left uncompleted. This leads to the difficulty of displaying a whole class of minimal surface in general form. In this paper, we discuss the finite element approximating methods to the minimal surfaces which are subject to the well-known Plateau probems. The differential form of the Plateau problems will be given and, for solving the associated discrete scheme, either the numerical Newton iteration method can be applied or we can try some promsing symbolic approaches. The convergence property of the numerical solutions is proved and this method will be applied to generating the minimal surface graphically on certain softwares later. The method proposed in this paper has much lower complexity and fits for inplementing the two grid and parallel algorithms to speed up the computation. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1007/3-540-36487-0_53 | Numerical Methods and Application |
Keywords | Field | DocType |
convergence property,minimal surface graphically,general form,differential form,convergence theory,approximating method,minimal surface,generating minimal surfaces subject,plateau problem,finite element method,numerical newton iteration method,plateau problems,numerical solution,fixed point theorem,newton iteration,differential forms,parallel algorithm | Convergence (routing),Applied mathematics,Plateau's problem,Mathematical optimization,Parallel algorithm,Finite element method,Minimal surface,Mathematics,Mixed finite element method,Computation,Newton's method | Conference |
Volume | ISSN | ISBN |
2542 | 0302-9743 | 3-540-00608-7 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
1 | ||