On approximation classes for adaptive time-stepping finite element methods

Actis M, Morin P, Schneider C (2022)

Publication Type: Journal article

Publication year: 2022

Journal

IMA Journal of Numerical Analysis Oxford University Press (OUP): Policy A - Oxford Open Option A

DOI: 10.1093/imanum/drac056

Abstract

We study approximation classes for adaptive time-stepping finite element methods for time-dependent partial differential equations. We measure the approximation error in L-2([0,T) x Omega ) and consider the approximation with discontinuous finite elements in time and continuous finite elements in space, of any degree. As a by-product we define anisotropic Besov spaces for Banach-space-valued functions on an interval and derive some embeddings, as well as Jackson- and Whitney-type estimates.

Authors with CRIS profile

Cornelia Schneider Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

Involved external institutions

National University of the Littoral / Universidad Nacional del Litoral (UNL) AR Argentina (AR)

How to cite

APA:

Actis, M., Morin, P., & Schneider, C. (2022). On approximation classes for adaptive time-stepping finite element methods. IMA Journal of Numerical Analysis. https://dx.doi.org/10.1093/imanum/drac056

MLA:

Actis, Marcelo, Pedro Morin, and Cornelia Schneider. "On approximation classes for adaptive time-stepping finite element methods." IMA Journal of Numerical Analysis (2022).

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