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In this paper, field projection methods are used to couple finite-element analysis carried out on different meshes and different temporal discretization bases. The prior-art mesh-to-mesh spatial field projection is extended to the time domain in this paper. We first define a space-time error norm between a given field distribution and the target field to be determined, and then minimize it using the Galerkin method. Biorthogonal test functions are also introduced into the projection process to replace inner product matrices with diagonal matrices and reduce the computation cost in terms of memory as well as the calculation time required. [ABSTRACT FROM AUTHOR]

Galerkin projection, which transfers field distribution between different meshes, has proven its utility for various applications of finite element analysis. In this framework, the authors propose a field projection method that considers nonlinear magnetic properties. The formulations given are based on the energy conservation between different meshes. [ABSTRACT FROM PUBLISHER]

Mesh-to-mesh field transfer arises frequently in finite-element computations. Typical applications may concern remeshing, multigrid methods, domain decomposition, and multi-physics problems. For electromagnetic fields, one of the essential constraints in such transfers is to conserve energetic quantities such as magnetic energy and joule heating. Within the framework of Galerkin projection on overlapping domains, we introduce the definition of energetic norms for electromagnetic fields. The corresponding formulations we propose provide energy-conserving projection of electromagnetic fields between different meshes. [ABSTRACT FROM AUTHOR]