High convergence order finite elements with lumped mass matrix. (English) Zbl 0880.76044
Summary: A method for deriving hexahedral finite elements with lumped mass matrices for three-dimensional problems is presented. These elements meet the theoretical conditions for high order convergence, and two numerical examples based on the three-dimensional scalar wave equation show that this is also the case in practice and that their accuracy is comparable to the accuracy of elements with consistent mass matrices.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76Q05 | Hydro- and aero-acoustics |
References:
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