An adaptive finite element DtN method for the acoustic-elastic interaction problem in periodic structures

• Published in: Advances in computational mathematics Vol. 51; no. 4
• Main Authors: Lin, Lei, Lv, Junliang
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.08.2025
• Subjects: Acoustics; Adaptive algorithms; Approximation; Compressibility; Elastic bodies; Elastic waves; Finite element method; Operators; Periodic structures; Plane waves; Truncation errors

Consider a time-harmonic acoustic plane wave incident onto an elastic body with an unbounded periodic surface. The medium above the surface is supposed to be filled with a homogeneous compressible inviscid air/fluid of constant mass density, while the elastic body is assumed to be isotropic and line...