Convergence rates, Part II

Zhongwei Shen

doi:10.1007/978-3-319-91214-1_7

Convergence rates, Part II

Zhongwei Shen

Producción científica: Chapter › revisión exhaustiva

Resumen

In Chapter 3 we establish the O(√ε) error estimates for some two-scale expansions in H¹ and the O(ε) convergence rate for solutions u_ε in L². The results are obtained without any smoothness assumption on the coefficient matrix A. In this chapter we return to the problem of convergence rates and prove various results under some additional smoothness assumptions, using uniform regularity estimates obtained in Chapters 4–6. We shall be mainly interested in the sharp O(ε) or near sharp rates of convergence.

Idioma original	English
Título de la publicación alojada	Operator Theory
Subtítulo de la publicación alojada	Advances and Applications
Páginas	169-203
Número de páginas	35
DOI	https://doi.org/10.1007/978-3-319-91214-1_7
Estado	Published - 2018

Serie de la publicación

Nombre	Operator Theory: Advances and Applications
Volumen	269
ISSN (versión impresa)	0255-0156
ISSN (versión digital)	2296-4878

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Publisher Copyright:
© Springer Nature Switzerland AG 2018.

ASJC Scopus subject areas

Analysis

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10.1007/978-3-319-91214-1_7

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Convergence rates, Part II

Resumen

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