High convergence order finite elements with lumped mass matrix

Morten skårup Jensen

doi:10.1002/(SICI)1097-0207(19960615)39:11<1879::AID-NME933>3.0.CO;2-2

High convergence order finite elements with lumped mass matrix

Morten skårup Jensen

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

A method for deriving hexahedral finite elements with lumped mass matrices for 3-D-problems is presented. These elements meet the theoretical conditions for high order convergence, and two numerical examples based on the 3-D scalar wave equation show that this is also the case in practice and that their accuracy is comparable to elements with consistent mass matrices.

Original language	English
Journal	International Journal for Numerical Methods in Engineering
Volume	39
Issue number	11
Pages (from-to)	1879-1888
ISSN	0029-5981
DOIs	https://doi.org/10.1002/(SICI)1097-0207(19960615)39:11<1879::AID-NME933>3.0.CO;2-2
Publication status	Published - 1996

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10.1002/(SICI)1097-0207(19960615)39:11<1879::AID-NME933>3.0.CO;2-2

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AB - A method for deriving hexahedral finite elements with lumped mass matrices for 3-D-problems is presented. These elements meet the theoretical conditions for high order convergence, and two numerical examples based on the 3-D scalar wave equation show that this is also the case in practice and that their accuracy is comparable to elements with consistent mass matrices.

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DO - 10.1002/(SICI)1097-0207(19960615)39:11<1879::AID-NME933>3.0.CO;2-2

M3 - Journal article

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JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

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High convergence order finite elements with lumped mass matrix

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