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Explicit second order isogeometric discretizations for acoustic wave problems

机译:声波问题的明确二阶异步离散化

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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.
机译:本文呈现了异诊测值(IGA)的稳定性分析,并在吸收边界条件下进行声波问题的明确新标记离散化。尽管有变性的IgA质量和刚度矩阵,但特别是关于B样条的多项式p和非均匀的Rational B样条(NURBS)基函数所采用的,所提出的纽马克的稳定界限 - IgA方法在IGA网格的网眼H中线性地依赖于IGA网的网状H和倒置IgA多项式p。平面中的几个数值测试确认了这些稳定性界限,并且还在NURBS结构域中的Ricker小波存在下探索了H,P,Delta T,域变形和吸收边界条件的纽马克-IGA顺序。 (c)2019 Elsevier B.v.保留所有权利。

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