Artículo
Armentano, M.G. "Error estimates in Sobolev spaces for moving least square approximations" (2002) SIAM Journal on Numerical Analysis. 39(1):38-51
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Abstract:
The aim of this paper is to obtain error estimates for moving least square (MLS) approximations in ℝN. We prove that, under appropriate hypotheses on the weight function and the distribution of points, the method produces optimal order error estimates in L∞ and L2 for the approximations of the function and its first derivatives. These estimates are important in the analysis of Galerkin approximations based on the MLS method. In particular, our results provide error estimates, optimal in order and regularity, for second order coercive problems.
Registro:
| Documento: | Artículo |
| Título: | Error estimates in Sobolev spaces for moving least square approximations |
| Autor: | Armentano, M.G. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| Palabras clave: | Error estimates; Meshless method; Moving least square |
| Año: | 2002 |
| Volumen: | 39 |
| Número: | 1 |
| Página de inicio: | 38 |
| Página de fin: | 51 |
| DOI: | http://dx.doi.org/10.1137/S0036142999361608 |
| Título revista: | SIAM Journal on Numerical Analysis |
| Título revista abreviado: | SIAM J Numer Anal |
| ISSN: | 00361429 |
| CODEN: | SJNAA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00361429_v39_n1_p38_Armentano |
Referencias:
- Armentano, M.G., Durán, R.G., Error estimates for moving least square approximations Appl. Numer. Math., , to appear
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- Belytschko, T., Krysl, P., Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions (1997) Comput. Methods Appl. Mech. Engrg., 148, pp. 257-277
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- Johnson, C., (1987) Numerical Solution of Partial Differential Equations by the Finite Element Method, , Cambridge University Press, Cambridge, UK
- Lancaster, P., Salkauskas, K., Surfaces generated by moving least squares methods (1981) Math. Comp., 37, pp. 141-158
- Levin, D., The approximation power of moving least-squares (1998) Math. Comp., 67, pp. 1517-1531
- Shepard, D., A two-dimensional interpolation function for irregularly spaced points (1968) Proceedings of the ACM National Conference, pp. 517-524
- Taylor, R., Zienkiewicz, O.C., Oñate, E., Idelsohn, S., Moving least square approximations for the solution of differential equations (1995) Research Report 74, , CIMNE, Barcelona, Spain
Citas:
---------- APA ----------
(2002) . Error estimates in Sobolev spaces for moving least square approximations. SIAM Journal on Numerical Analysis, 39(1), 38-51.http://dx.doi.org/10.1137/S0036142999361608
---------- CHICAGO ----------
Armentano, M.G. "Error estimates in Sobolev spaces for moving least square approximations" . SIAM Journal on Numerical Analysis 39, no. 1 (2002) : 38-51.http://dx.doi.org/10.1137/S0036142999361608
---------- MLA ----------
Armentano, M.G. "Error estimates in Sobolev spaces for moving least square approximations" . SIAM Journal on Numerical Analysis, vol. 39, no. 1, 2002, pp. 38-51.http://dx.doi.org/10.1137/S0036142999361608
---------- VANCOUVER ----------
Armentano, M.G. Error estimates in Sobolev spaces for moving least square approximations. SIAM J Numer Anal. 2002;39(1):38-51.http://dx.doi.org/10.1137/S0036142999361608
