A high-order discontinuous Galerkin approach to the elasto-acoustic problem

被引:22
作者
Antonietti, Paola F. [1 ]
Bonaldi, Francesco [1 ]
Mazzieri, Ilario [1 ]
机构
[1] Politecn Milan, MOX, Dipartimento Matemat, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy
关键词
Discontinuous Galerkin methods; Elastodynamics; Acoustics; Wave propagation; Polygonal and polyhedral grids; FINITE-ELEMENT METHODS; 2ND-ORDER ELLIPTIC PROBLEMS; WAVE-PROPAGATION; ARBITRARY-ORDER; MIMETIC DISCRETIZATIONS; MESHES; DIFFUSION; BOUNDARY; SCATTERING; HDG;
D O I
10.1016/j.cma.2019.112634
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We address the spatial discretization of an evolution problem arising from the coupling of elastic and acoustic wave propagation phenomena by employing a discontinuous Galerkin scheme on polygonal and polyhedral meshes. The coupled nature of the problem is ascribed to suitable transmission conditions imposed at the interface between the solid (elastic) and fluid (acoustic) domains. We state and prove a well-posedness result for the strong formulation of the problem, present a stability analysis for the semi-discrete formulation, and finally prove an a priori hp-version error estimate for the resulting formulation in a suitable (mesh-dependent) energy norm. We also discuss the time integration scheme employed to obtain the fully discrete system. The convergence results are validated by numerical experiments carried out in a two-dimensional setting. (C) 2019 Elsevier B.V. All rights reserved.
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页数:29
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