Work

Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems

Year: 2025

Type: article

Abstract: We consider a hybrid FEM-BEM method to compute approximations of full-space linear elliptic transmission problems. First, we derive a priori and a posteriori error estimates. Then, building on the latter, we present an adaptive algorithm and prove that it converges at optimal rates with respect to the number of mesh elements. Finally, we provide numerical experiments, demonstrating the practical performance of the adaptive algorithm.

Source: IMA Journal of Numerical Analysis

DOI: 10.1093/imanum/draf023

Authors: Gregor Gantner, Michele Ruggeri

Institutions: University of Bonn, University of Bologna

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Deutsche Forschungsgemeinschaft, Gruppo Nazionale per il Calcolo Scientifico