INVESTIGADORES
ACTIS Marcelo Jesus
artículos
Título:
Approximation classes for adaptive time-stepping finite element methods
Autor/es:
ACTIS, MARCELO; MORIN, PEDRO; SCHNEIDER, CORNELIA
Revista:
IMA JOURNAL OF NUMERICAL ANALYSIS
Editorial:
OXFORD UNIV PRESS
Referencias:
Lugar: Oxford; Año: 2022
ISSN:
0272-4979
Resumen:
We study approximation classes for adaptive time-stepping finite element methods for time-dependent Partial Differential Equations (PDE). We measure the approximation error in L_2([0,T)xΩ) and consider the approximation with discontinuous finite elements in time and continuous finite elements in space, of any degree. As a byproduct we define Besov spaces for vector-valued functions on an interval and derive some embeddings, as well as Jackson- and Whitney-type estimates.
