ASYMPTOTIC BOUNDARY ELEMENT METHODS FOR THIN CONDUCTING SHEETS

作者：Schmidt Kersten^*; Hiptmair Ralf

来源：Discrete and Continuous Dynamical Systems - Series S, 2015, 8(3): 619-647.

DOI：10.3934/dcdss.2015.8.6196

• Boundary element method
• asymptotic expansions
• transmission condition
• thin conducting sheets

Various asymptotic models for thin conducting sheets in computational electromagnetics describe them as closed hyper-surfaces equipped with linear local transmission conditions for the traces of electric and magnetic fields. The transmission conditions turn out to be singularly perturbed with respect to limit values of parameters depending on sheet thickness and conductivity. We consider the reformulation of the resulting transmission problems into boundary integral equations (BIE) and their Galerkin discretization by means of low-order boundary elements. We establish stability of the BIE and provide a priori h-convergence estimates.

• 出版日期2015-6