New mass-lumped tetrahedral elements for 3D wave propagation modelling

S. Geevers; Wim Mulder; J van der Vegt

New mass-lumped tetrahedral elements for 3D wave propagation modelling

S. Geevers
, Wim Mulder
, J van der Vegt

Applied Geophysics and Petrophysics

Research output: Contribution to conference › Abstract › Scientific

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Abstract

We present a new accuracy condition for constructing mass-lumped elements. This condition is less restrictive than the one previously used and enabled us to construct new mass-lumped tetrahedral elements for 3D wave propagation modelling. The new degree-2 and degree-3 elements require significantly fewer nodes than previous versions and mass-lumped tetrahedral elements of higher degree had not been found before. We also present a new accuracy condition for evaluating the stiffness matrix-vector product. This enabled us to obtain tailored quadrature rules for the new elements that further reduce the computational cost.

Original language	English
Number of pages	2
Publication status	Published - 2019
Event	14th International Conference on Mathematical and Numerical Aspects of Wave Propagation - Vienna University of Technology (TU Wien), Vienna, Austria Duration: 25 Aug 2019 → 30 Aug 2019 http://www.waves2019.at/

Conference

Conference	14th International Conference on Mathematical and Numerical Aspects of Wave Propagation
Abbreviated title	WAVES 2019
Country/Territory	Austria
City	Vienna
Period	25/08/19 → 30/08/19
Internet address	http://www.waves2019.at/

Keywords

mass lumping
tetrahedral element
spectral element
wave equation

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Geevers-New_Mass-Lumped_Tetrahedral_Elements_for_3D_Wave_Propagation_Modelling-170Final published version, 147 KB

https://www.conftool.com/waves2019/index.php?page=browseSessions&form_session=65#paperID170

Cite this

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title = "New mass-lumped tetrahedral elements for 3D wave propagation modelling",

abstract = "We present a new accuracy condition for constructing mass-lumped elements. This condition is less restrictive than the one previously used and enabled us to construct new mass-lumped tetrahedral elements for 3D wave propagation modelling. The new degree-2 and degree-3 elements require significantly fewer nodes than previous versions and mass-lumped tetrahedral elements of higher degree had not been found before. We also present a new accuracy condition for evaluating the stiffness matrix-vector product. This enabled us to obtain tailored quadrature rules for the new elements that further reduce the computational cost.",

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TY - CONF

T1 - New mass-lumped tetrahedral elements for 3D wave propagation modelling

AU - Geevers, S.

AU - Mulder, Wim

AU - van der Vegt, J

PY - 2019

Y1 - 2019

N2 - We present a new accuracy condition for constructing mass-lumped elements. This condition is less restrictive than the one previously used and enabled us to construct new mass-lumped tetrahedral elements for 3D wave propagation modelling. The new degree-2 and degree-3 elements require significantly fewer nodes than previous versions and mass-lumped tetrahedral elements of higher degree had not been found before. We also present a new accuracy condition for evaluating the stiffness matrix-vector product. This enabled us to obtain tailored quadrature rules for the new elements that further reduce the computational cost.

AB - We present a new accuracy condition for constructing mass-lumped elements. This condition is less restrictive than the one previously used and enabled us to construct new mass-lumped tetrahedral elements for 3D wave propagation modelling. The new degree-2 and degree-3 elements require significantly fewer nodes than previous versions and mass-lumped tetrahedral elements of higher degree had not been found before. We also present a new accuracy condition for evaluating the stiffness matrix-vector product. This enabled us to obtain tailored quadrature rules for the new elements that further reduce the computational cost.

KW - mass lumping

KW - tetrahedral element

KW - spectral element

KW - wave equation

M3 - Abstract

T2 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation

Y2 - 25 August 2019 through 30 August 2019

ER -

New mass-lumped tetrahedral elements for 3D wave propagation modelling

Abstract

Conference

Keywords

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Cite this