INVESTIGADORES
MORIN Pedro
congresos y reuniones científicas
Título:
An adaptive algorithm with hierarchical B-splines
Autor/es:
PEDRO MORIN
Lugar:
París
Reunión:
Workshop; Workshop A Posteriori Error Estimates, Adaptivity, and Advanced Applications; 2017
Institución organizadora:
INRIA
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.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.This is one of the main ingredients towards optimality, which wediscuss at the end.
