Spline element method for Monge-Ampère equations
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| 024 | 7 | 0 | |a 10.1007/s10543-014-0524-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0524-y | ||
| 100 | 1 | |a Awanou |D Gerard |u Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 60607-7045, Chicago, IL, USA |4 aut | |
| 245 | 1 | 0 | |a Spline element method for Monge-Ampère equations |h [Elektronische Daten] |c [Gerard Awanou] |
| 520 | 3 | |a We analyze the convergence of an iterative method for solving the nonlinear system resulting from a natural discretization of the Monge-Ampère equation with smooth approximations. We make the assumption, supported by numerical experiments for the two dimensional problem, that the discrete problem has a convex solution. The method we analyze is the discrete version of Newton's method in the vanishing moment methodology. Numerical experiments are given in the framework of the spline element method. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Iterative methods |2 nationallicence | |
| 690 | 7 | |a Monge-Ampère |2 nationallicence | |
| 690 | 7 | |a C 1 conforming approximations |2 nationallicence | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 625-646 |x 0006-3835 |q 55:3<625 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0524-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0524-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Awanou |D Gerard |u Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 60607-7045, Chicago, IL, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 625-646 |x 0006-3835 |q 55:3<625 |1 2015 |2 55 |o 10543 | ||