Mass Lumping For Constant Density Acoustics
Symes, William W.
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.
Citable link to this pagehttps://hdl.handle.net/1911/102115
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