Angot, Philippe; Caltagirone, Jean-Paul; Khadra, Khodor An adaptative method for local mesh refinement: The flux interface correction. (Une méthode adaptative de raffinement local: La correction du flux à l’interface.) (French. Abridged English version) Zbl 0755.65120 C. R. Acad. Sci., Paris, Sér. I 315, No. 6, 739-745 (1992). Summary: We present a new “Zoom” algorithm called flux interface correction, based on a concept of hierarchical multigrid local refinement. This method is tested on two examples of bidimensional elliptic problems. We then study the asymptotic evolution of the corresponding discrete norm of errors. Cited in 1 ReviewCited in 6 Documents MSC: 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:local mesh refinement; asymptotic expansion of the error norm; “Zoom” algorithm; flux interface correction; hierarchical multigrid local refinement; bidimensional elliptic problems PDFBibTeX XMLCite \textit{P. Angot} et al., C. R. Acad. Sci., Paris, Sér. I 315, No. 6, 739--745 (1992; Zbl 0755.65120)