Elastic Wave Propagation in Curvilinear Coordinates with Mesh Refinement Interfaces by a Fourth Order Finite Difference Method

DOI10.1137/20M1339702zbMath1471.65111arXiv2006.00079OpenAlexW3158815703MaRDI QIDQ4986846

Lu Zhang, N. Anders Petersson, Si Yang Wang

Publication date: 28 April 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00079

zbMATH Keywords

finite difference methodsthree space dimensionssummation-by-partselastic wave equationsnonconforming mesh refinement

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items (4)

A High Order Finite Difference Method for the Elastic Wave Equation in Bounded Domains with Nonconforming Interfaces ⋮ A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form ⋮ Multiresolution approximation for shallow water equations using summation-by-parts finite differences ⋮ Fractional-step finite difference schemes for incompressible elasticity on overset grids

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