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New mass-lumped tetrahedral elements for 3D wave propagation modelling. / Geevers, S.; Mulder, Wim; van der Vegt, J.

2019. 362-362 Abstract from 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Vienna, Austria.

Research output: Contribution to conferenceAbstractScientific

Harvard

Geevers, S, Mulder, W & van der Vegt, J 2019, 'New mass-lumped tetrahedral elements for 3D wave propagation modelling' 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Vienna, Austria, 18/02/19 - 22/02/19, pp. 362-362.

APA

Geevers, S., Mulder, W., & van der Vegt, J. (2019). New mass-lumped tetrahedral elements for 3D wave propagation modelling. 362-362. Abstract from 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Vienna, Austria.

Vancouver

Geevers S, Mulder W, van der Vegt J. New mass-lumped tetrahedral elements for 3D wave propagation modelling. 2019. Abstract from 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Vienna, Austria.

Author

Geevers, S. ; Mulder, Wim ; van der Vegt, J. / New mass-lumped tetrahedral elements for 3D wave propagation modelling. Abstract from 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Vienna, Austria.1 p.

BibTeX

@conference{1a9396d4acdb4e06bd7278939b24fda8,
title = "New mass-lumped tetrahedral elements for 3D wave propagation modelling",
abstract = "We present a new accuracy condition for constructing mass-lumped finite elements. This new condition is less restrictive than the one that has been used for several decades and enabled us to construct new mass-lumped tetrahedral elements of degrees 2,3, and 4. The new degree-2 and degree-3 elements require 14 and 32 nodes, respectively, while the degree-2 and degree-3 elements currently available in the literature require 23 and 50 nodes, respectively. Mass-lumped tetrahedral elements of degree 4 had not been found until now. The resulting mass-lumped finite element method is suitable for 3D wave propagation problems, since it can accurately capture the effects of a complex geometry and since it results in a fully explicit time-stepping scheme. A dispersion analysis and several numerical tests illustrates the efficiency of this new method. In particular, they illustrate a significant reduction in degrees of freedom, number of time steps, and computation time for a given accuracy compared to other finite element methods, such as the previous mass-lumped finite element methods or the discontinuous Galerkin method.",
author = "S. Geevers and Wim Mulder and {van der Vegt}, J",
year = "2019",
language = "English",
pages = "362--362",
note = "90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM2019 ; Conference date: 18-02-2019 Through 22-02-2019",
url = "https://jahrestagung.gamm-ev.de/index.php/2019/2019-annual-meeting",

}

RIS

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 finite elements. This new condition is less restrictive than the one that has been used for several decades and enabled us to construct new mass-lumped tetrahedral elements of degrees 2,3, and 4. The new degree-2 and degree-3 elements require 14 and 32 nodes, respectively, while the degree-2 and degree-3 elements currently available in the literature require 23 and 50 nodes, respectively. Mass-lumped tetrahedral elements of degree 4 had not been found until now. The resulting mass-lumped finite element method is suitable for 3D wave propagation problems, since it can accurately capture the effects of a complex geometry and since it results in a fully explicit time-stepping scheme. A dispersion analysis and several numerical tests illustrates the efficiency of this new method. In particular, they illustrate a significant reduction in degrees of freedom, number of time steps, and computation time for a given accuracy compared to other finite element methods, such as the previous mass-lumped finite element methods or the discontinuous Galerkin method.

AB - We present a new accuracy condition for constructing mass-lumped finite elements. This new condition is less restrictive than the one that has been used for several decades and enabled us to construct new mass-lumped tetrahedral elements of degrees 2,3, and 4. The new degree-2 and degree-3 elements require 14 and 32 nodes, respectively, while the degree-2 and degree-3 elements currently available in the literature require 23 and 50 nodes, respectively. Mass-lumped tetrahedral elements of degree 4 had not been found until now. The resulting mass-lumped finite element method is suitable for 3D wave propagation problems, since it can accurately capture the effects of a complex geometry and since it results in a fully explicit time-stepping scheme. A dispersion analysis and several numerical tests illustrates the efficiency of this new method. In particular, they illustrate a significant reduction in degrees of freedom, number of time steps, and computation time for a given accuracy compared to other finite element methods, such as the previous mass-lumped finite element methods or the discontinuous Galerkin method.

M3 - Abstract

SP - 362

EP - 362

ER -

ID: 52735007