Data di Pubblicazione:
2019
Citazione:
Explicit second order isogeometric discretizations for acoustic wave problems / E. Zampieri, L.F. Pavarino. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 348:(2019 May), pp. 776-795. [10.1016/j.cma.2019.01.046]
Abstract:
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,Δt, domain deformation and the absorbing boundary conditions performance in the presence of a Ricker wavelet in a NURBS domain
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Acoustic waves; Absorbing boundary conditions; Isogeometric analysis; Explicit time advancing schemes; Stability
Elenco autori:
E. Zampieri, L.F. Pavarino
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