INVESTIGADORES
MORIN Pedro
congresos y reuniones científicas
Título:
A QUASI-OPTIMAL ADAPTIVE ALGORITHM WITH HIERARCHICAL B-SPLINES
Autor/es:
MORIN, PEDRO; NOCHETTO, RICARDO H.; PAULETTI, M. SEBASTIÁN
Lugar:
Concepción
Reunión:
Congreso; WONAPDE 2019; 2019
Institución organizadora:
Universidad de Concepción
Resumen:
We present and analyze an adaptive algorithm for elliptic equationsusing hierarchical B-splines, of any (fixed) order and maximalregularity.We first set the framework of approximation with hierarchicalB-splines, and next develop an a posteriori error estimator based onsolutions of discrete local problems. These error estimators constitute local lower bounds and global upper bounds for the error.We next propose a refining method to increase the local resolution ofthe spaces and study a contraction property for D\"orfler's markingstrategy, which implies linear convergence of the adaptive method.These are the main ingredients to obtain an optimal adaptive method, which weaddress at the end of the talk.
