Work

Locally different models in a checkerboard pattern with mesh adaptation and error control for multiple quantities of interest

Year: 2024

Type: article

Abstract: In this work, we apply multi‐goal oriented error estimation to the finite element method. In particular, we use the dual weighted residual method and apply it to a model problem. This model problem consist of locally different coercive partial differential equations in a checkerboard pattern, where the solution is continuous across the interface. In addition to the error estimation, the error can be localized using a partition of unity technique. The resulting adaptive algorithm is substantiated with a numerical example.

Source: PAMM

DOI: 10.1002/pamm.202400157

Author: Bernhard Endtmayer

Institution: Leibniz University Hannover

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Alexander von Humboldt-Stiftung