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Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions

Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions

Abstract In this paper, some symmetrized two-scale finite element methods are proposed for a class of partial differential equations with symmetric solutions. With these methods, the finite element approximation on a fine tensor-product grid is reduced to the finite element approximations on a much coarser grid and a univariant fine …