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  4. Dispersion Properties of the Partition of Unity Method and Explicit Dynamics
 
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2015
Conference Paper
Title

Dispersion Properties of the Partition of Unity Method and Explicit Dynamics

Abstract
In this paper, we focus on the dispersion properties of the partition of unity method. To this end, we consider the semi-discretized wave equation and determine the resulting numerical phase and group velocities when using a consistent mass matrix and a lumped mass matrix. Our results clearly show that the vartiational mass lumping approach due to [14] yields comparable dispersion properties than the consistent mass matrix approach. Thus, the lumped mass matrix approach attains very similar accuracy at substantially lower computational cost than the consistent mass matrix in simulations of dynamic behavior.
Author(s)
Schweitzer, M.A.
Ziegenhagel, A.
Mainwork
Meshfree Methods for Partial Differential Equations VII  
Conference
International Workshop on Meshfree Methods for Partial Differential Equations 2013  
DOI
10.1007/978-3-319-06898-5_14
Language
English
Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI  
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