Discontinuous Galerkin FEM of hybrid type
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Recently, the discontinuous Galerkin FEM's (DGFEM) are widely studied. They use discontinuous approximate functions, where the discontinuity is dealt with by the Lagrange multiplier and/or interior penalty techniques. Such methods has a merit that various types of approximate functions can be used besides the usual continuous piecewise polynomials, although the band-widths of arising matrices are often much larger than the conventional ones. We here propose a hybrid displacement type DGFEM for the 2D Poisson equation with some mathematical and numerical results. In particular, we can use element matrices and vectors similar to those in the classical FEM.
- JSIAM Letters
JSIAM Letters 2(0), 49-52, 2010
The Japan Society for Industrial and Applied Mathematics