Work

Reduced Basis A Posteriori Error Bounds for Symmetric Parametrized Saddle Point Problems

Year: 2012

Type: preprint

Abstract: This paper directly builds upon previous work where we introduced new reduced basis a posteriori error bounds for parametrized saddle point problems based on Brezzi's theory. We here sharpen these estimates for the special case of a symmetric problem. Numerical results provide a direct comparison with former approaches and quantify the superiority of the new developed error bounds in practice: Effectivities now decrease significantly; consequently, the proposed methods provide accurate reduced basis approximations at much less computational cost.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1208.5011

Authors: Gerner, Anna-Lena, Veroy, Karen

Institutions: RWTH Aachen University, FH Aachen

Language: English

Topic: Model Reduction and Neural Networks

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Harvard University, Deutsche Forschungsgemeinschaft, RWTH Aachen University

Award: G1615501055

OpenAlex ID: W79911096

Cites: 10

Cited by: 3

Related to: 10