| M. Kr'izek and P. Neittaanm¨aki, Internal FE approximation of spaces of divergence-free functions in threedimensional domains, International Journal for Numerical Methods in Fluids 6 (1986), 811--817. 32 STEFAN ADAM, PETER ARBENZ, AND ROMAN GEUS |
.... means that the computed eigenmodes are perturbed by curl free components from grad H 1 0 ( Omega Gamma3 A heuristic remedy is to monitor the computed eigenmodes and to remove those with a too large divergence [32] 33] Although truely divergent free finite elements have been invented, see e.g. [35] or [26] they seem not to be used in numerical computations. In the remainder of this section we recall the two approaches which are used today to enforce the divergence free condition, div u = 0. 4.1. Penalty methods. One way to deal with the divergence free condition is the penalty method [38] ....
M. Kr'izek and P. Neittaanm¨aki, Internal FE approximation of spaces of divergence-free functions in threedimensional domains, International Journal for Numerical Methods in Fluids 6 (1986), 811--817. 32 STEFAN ADAM, PETER ARBENZ, AND ROMAN GEUS
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