13th International Workshop on Variational Multiscale and Stabilized Finite Elemements (VMS 18) - Abstract
Barrenechea, Gabriel
In this talk the recent extension of the Multiscale Hybrid-Mixed (MHM) method, originally proposed in [1], to the case of general polygonal meshes (that can be non-convex and non-conforming as well) will be presented. We present new stable multiscale finite elements such that they preserve the well-posedness, super-convergence and local conservation properties of the original M HM method under mild regularity conditions on the polygons. More precisely, we show that piecewise polynomial of degree
This work has been carried out in collaboration with Fabrice Jaillet (Lyon 1, France), Diego Paredes (UCV, Valparaiso, Chile), and Frederic Valentin (LNCC, Brazil).
References
[1] Araya, R., Harder, C. , Paredes, D. and Valentin, F.: Multiscale hybrid-mixed method, Journal on Numerical Analysis, 51(6), 3505--3531, (2013).