Special issue on Mesh Reduction Methods for Wave Propagation and Scattering Analysis
• 大类 : 工程技术 - 3区
• 小类 : 工程：综合 - 3区
• 小类 : 数学跨学科应用 - 3区
This special issue of Engineering Analysis with Boundary Elements will be devoted to theory and applications related to mesh reduction methods for wave propagation and scattering analysis. Wave propagation and scattering problems appear in a broad range of science and engineering fields. Although computational wave propagation analysis has a long history of development, there seems to be a recent resurgence in their popularity. Wave motion problems in complex medium and boundary conditions, such as layered or functionally graded medium, multi-phase medium, composite materials, have aroused wide attention in recent years.
More detailed and accurate simulation on practical problems will undoubtedly advance better understanding on the wave motion nature. Finite element method (FEM) and Finite difference method (FDM) are two of the most popular mesh-based numerical approaches for wave motion analysis. However, numerical experiments suggest that 8-10 degrees of freedom (DOFs) per wavelength in each coordinate direction are needed for a good accuracy in the standard FEM and FDM. For high-frequency scattering problems, much finer meshing is required. The computational complexity grows quadratically with increasing wavelength/frequency or characteristic length. Therefore, the mesh reduction schemes need to be introduced to reduce the DOF requirement per wavelength in each coordinate direction. Examples of the mesh reduction methods include boundary element methods (BEM), method of fundamental solutions (MFS), Trefftz method, and Wave function expansion method. Papers addressing linear, nonlinear, direct and inverse wave propagation and scattering problems are welcome. The focus can be theoretical analysis of the mesh reduction method, as well as engineering applications.