Article history: Received 15 April 2011 Received in revised form 16 February 2012 Accepted 13 March 2012 Available online 3 April 2012

In this paper we present a Fourier feature based deep domain decomposition method (F-D3M) for partial differential equations (PDEs). Currently, neural network methods are actively developed solving PDEs, but their efficiency can degenerate problems with high frequency modes. new F-D3M strategy, overlapping is conducted the spatial domain, such that modes be reduced to relatively low ones. each ...

The output data from a structure is the building block for output-only modal analysis. The structure response in the output data, however, is usually contaminated with noise. Naturally, the success of output-only methods in determining the modal parameters of a structure depends on noise level. In this paper, the possibility and accuracy of identifying the modal parameters of a simply supported...

Spatial Galerkin projection transfers fields between different meshes. In the area of finite element analysis of electromagnetic fields, it provides great convenience for remeshing, multi-physics, domain decomposition methods, etc. In this paper, a space-time Galerkin projection is developed in order to transfer fields between different spatial and temporal discretization bases.