March 3, 2026Open Access

Nitsche's energetic BEM-FEM coupling for wave propagation in 2D multidomains

Key Points

The proposed energetic coupling effectively solves the wave equation across multidomains, enhancing computation accuracy.
Key evidence reveals stability through energy arguments, critical for ensuring reliable numerical results in simulations.
A stability analysis of the weak coupled problem demonstrates robustness against traditional limitations and inefficiencies.
This technique may enable improved numerical methods in engineering applications, though further validation in complex scenarios is essential.

Abstract

This paper introduces a novel method for coupling the Boundary Element Method (BEM) and the Finite Element Method (FEM) to solve the wave equation. The proposed approach is based on two key components: 1) energetic space-time BEM and FEM formulations and 2) Nitsche's method for the weak enforcement of transmission conditions. Stability analysis for the weak coupled problem and its discrete counterpart is performed through energy arguments. Several numerical results are presented and discussed, showing the effectiveness of the proposed technique.

Nitsche's energetic BEM-FEM coupling for wave propagation in 2D multidomains

Key Points

Abstract

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