NUMERICAL STABILITY OF MASS LUMPING SCHEMES FOR ...

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Optimum mass distribution(central difference method, Co = 0.5)Dispersion suppressed as x → 0.25.

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Optimum mass distribution(central difference method, Co = 0.5)Dispersion suppressed as x → 0.25.

Contents• Finite element dispersion errorbilinear versus serendipity elementsnumerical examples• Effect of time integrationexplicit and implicit schemesmass lumpingnumerical stability• Conclusions

Page 2 and 3: Contents• Finite element dispersi
Page 4: Finite element method• Belytschko
Page 7: frequency ωH/c 1 =0.5
Page 11 and 12: Contents• Finite element dispersi
Page 14 and 15: Mass matrix lumpingRow sum and Hint
Page 18 and 19: Numerical stability• Fried, I.: D
Page 20: Conclusions• Threshold values of

NUMERICAL STABILITY OF MASS LUMPING SCHEMES FOR ...

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