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Explicit second order isogeometric discretizations for acoustic wave problems
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DOI：10.1016/j.cma.2019.01.046.png)
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Abstract
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This paper presents a stability analysis of isogeometric (IGA) and explicit Newmark discretizations for acoustic wave problems with absorbing boundary conditions. In spite of the very ill-conditioned IGA mass and stiffness matrices, especially with respect to the polynomial degree p of the B-splines and Non-Uniform Rational B-Splines (NURBS) basis functions employed, the stability bounds of the proposed Newmark-IGA method depend linearly on the meshsize h of the IGA mesh and inversely on the IGA polynomial degree p. Several numerical tests in the plane confirm these stability bounds and additionally explore the Newmark-IGA order of convergence with respect to h, p, Delta t, domain deformation and the absorbing boundary conditions performance in the presence of a Ricker wavelet in a NURBS domain. (C) 2019 Elsevier B.V. All rights reserved.
Keywords:
Acoustic waves
Absorbing boundary conditions
Isogeometric analysis
Explicit time advancing schemes
Stability
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