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dc.contributor.authorSymes, William W.
dc.date.accessioned 2018-06-19T17:45:06Z
dc.date.available 2018-06-19T17:45:06Z
dc.date.issued 2009-04
dc.identifier.citation Symes, William W.. "Mass Lumping For Constant Density Acoustics." (2009) https://hdl.handle.net/1911/102115.
dc.identifier.urihttps://hdl.handle.net/1911/102115
dc.description.abstract Mass lumping provides an avenue for efficient time-stepping of time-dependent problems with conforming finite element discretization. Typical justifications for mass lumping use quadrature error estimates which do not hold for nonsmooth coefficients. In this paper, I show that the mass-lumped semidiscrete system for the constant-density acoustic wave equation with Q1 elements exhibits optimal order convergence eeven when the coefficient (bulk modulus) is merely bounded and measurable, provide that the right-hand side possesses some smoothness in time.
dc.format.extent 11 pp
dc.title Mass Lumping For Constant Density Acoustics
dc.type Technical report
dc.date.note April 2009
dc.identifier.digital TR09-10
dc.type.dcmi Text


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