Communications in Numerical Methods in Engineering · 1998 · 44 citations · 5 references
Numerical AnalysisFinite Element MethodMethod Of Fundamental SolutionNumerical ComputationEngineeringWilson θ MethodSemi-implicit MethodMechanical EngineeringNumerical SimulationLinear Time VariationInverse ProblemsComputational MechanicsBoundary Element MethodLinear θ MethodNumerical Method For Partial Differential Equation
A linear θ method is used in this paper to improve the stability of the standard time-domain BEM formulation. The time-stepping procedure is similar to that of the Wilson θ method; however, unlike in the FEM, where linear time variation of acceleration (for elastodynamic problems) is assumed, here linear time variation for both potential and flux (for scalar waves) is assumed in the time interval θΔt. A comparison between numerical results obtained from the standard formulation and from the linear θ method studied here shows the latter to be more stable than the former. The effect of varying θ for different values of time steps is also studied in this paper. Copyright © 1998 John Wiley & Sons, Ltd.
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