Error estimates for completely discrete FEM in energy-type and weaker norms

Angermann L, Knabner P, Rupp A (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Numerical Methods For Partial Differential Equations Wiley-Blackwell

DOI: 10.1002/num.23106

Abstract

The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion-convection-reaction equations and boundary conditions of mixed type. Since neither conformity nor consistency properties are assumed, the method is called completely discrete. We investigate two different stabilized discretizations and obtain stability and optimal error estimates in energy-type norms and, by generalizing the Aubin-Nitsche technique, optimal error estimates in weaker norms.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Technische Universität Clausthal / Clausthal University of Technology DE Germany (DE) Lappeenranta University of Technology (LUT) / Lappeenrannan teknillinen yliopisto FI Finland (FI)

How to cite

APA:

Angermann, L., Knabner, P., & Rupp, A. (2024). Error estimates for completely discrete FEM in energy-type and weaker norms. Numerical Methods For Partial Differential Equations. https://doi.org/10.1002/num.23106

MLA:

Angermann, Lutz, Peter Knabner, and Andreas Rupp. "Error estimates for completely discrete FEM in energy-type and weaker norms." Numerical Methods For Partial Differential Equations (2024).

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