| Título: | Convergence rates for adaptive finite elements |
| Autores: |
Fernando D. Gaspoz; IMAL-CONICET-UNL Pedro Morin; IMAL-CONICET-UNL |
| Fecha: | 2008-04-09 |
| Publicador: | Cuadernos de Matemática y Mecánica |
| Fuente: |
 |
| Tipo: |
Articles |
| Tema: | No aplica |
| Descripción: | In this article we prove that it is possible to construct, using newest-vertex bisection, meshes that equidistribute the error in $H^1$-norm, whenever the function to approximate can be decomposed as a sum of a regular part plus a singular part with singularities around a finite number of points. This decomposition is usual in regularity results of Partial Differential Equations (PDE). As a consequence, the meshes turn out to be quasi-optimal, and convergence rates for adaptive finite element methods (AFEM) using Lagrange finite elements of any polynomial degree are obtained. Published: IMA Journal of Numerical Analysis 2008; doi: 10.1093/imanum/drn039 Link: http://imajna.oxfordjournals.org/cgi/reprint/drn039?ijkey=aULHrx3AxOoNGTm&keytype=ref |
| Idioma: | Inglés |
1 Sloshing in a Multi-Physics Parallel Programming Paradigm por Laura Battaglia; CIMEC-INTEC-CONICET-UNL,Jorge D'Elía; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL | 6 MPI for Python por Lisandro Daniel Dalcín; CIMEC-INTEC-CONICET-UNL,Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL |
2 A Minimal Element Distortion Strategy for Computational Mesh Dynamics por Ezequiel López; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Jorge Toth; Universidad Nacional del Comahue | 7 An interface strip preconditioner for domain decomposition methods: Application to hydrology por Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL |
3 Strong coupling strategy for fluid structure interaction problems in supersonic regime via fixed point iteration por Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL | 8 A Preconditioner for the Schur Complement Matrix por Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Lisandro Daniel Dalcín; CIMEC-INTEC-CONICET-UNL,Rodrigo R. Paz; CIMEC-INTEC-CONICET-UNL,Andrea Yommi; CIMEC-INTEC-CONICET-UNL,Victorio E. Sonzogni; CIMEC-INTEC-CONICET-UNL,Norberto M. Nigro; CIMEC-INTEC-CONICET-UNL |
4 Hot-pressing process modeling for medium density fiberboard (MDF) por Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL | 9 Finite Element Methods for Surface Diffusion por Eberhard Bansch,Pedro Morin; IMAL-CONICET-UNL,Ricardo Nochetto |
5 On the efficiency and quality of numerical solutions in CFD problems using the Interface Strip Preconditioner for domain decomposition methods por Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL | 10 A finite element method for surface diffusion: the parametric case por Pedro Morin; IMAL-CONICET-UNL,Eberhard Bänsch,Ricardo H. Nochetto |