The Boundary Element Method (BEM) offers significant advantages for solving partial differential equations, especially for infinite domains and complex geometries. This mini-symposium invites researchers to present the latest theoretical and practical advancements of BEM. We seek contributions on: - Formulations: New integral equations and regularization techniques. - Efficiency: Fast BEM algorithms like FMM and H-matrix. - Multiphysics: BEM's integration with FEM/FVM for coupled problems. - Applications: Use of BEM in biomedical engineering and renewable energy. - Optimization: BEM for topology and shape optimization. - Synergy with AI/QC: Combining BEM with AI, machine learning, and quantum computing. This symposium will highlight BEM’s role in solving diverse scientific and industrial challenges.