A High Order Finite Difference Method for the Elastic Wave Equation in Bounded Domains with Nonconforming Interfaces
DOI10.1137/21M1422586zbMath1492.65247arXiv2105.11515OpenAlexW4283640473MaRDI QIDQ5088624
Publication date: 13 July 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.11515
finite difference methodsghost pointssummation-by-partselastic wave equationsnonconforming interfacesorder-preserving interpolation
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)
Cites Work
- Unnamed Item
- High order finite difference methods for the wave equation with non-conforming grid interfaces
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- Source estimation by full wave form inversion
- Grid stabilization of high-order one-sided differencing. II: Second-order wave equations
- Stable and high order accurate difference methods for the elastic wave equation in discontinuous media
- Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes
- Convergence of summation-by-parts finite difference methods for the wave equation
- A fourth order accurate finite difference scheme for the elastic wave equation in second order formulation
- Elastic wave propagation in anisotropic solids using energy-stable finite differences with weakly enforced boundary and interface conditions
- On the convergence rates of energy-stable finite-difference schemes
- Stable Coupling of Nonconforming, High-Order Finite Difference Methods
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Boundary Estimates for the Elastic Wave Equation in Almost Incompressible Materials
- Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
- Convergence of finite difference methods for the wave equation in two space dimensions
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Elastic Wave Propagation in Curvilinear Coordinates with Mesh Refinement Interfaces by a Fourth Order Finite Difference Method
- Stable and High-Order Accurate Boundary Treatments for the Elastic Wave Equation on Second-Order Form
- Fourth Order Finite Difference Methods for the Wave Equation with Mesh Refinement Interfaces
- Order-Preserving Interpolation for Summation-by-Parts Operators at Nonconforming Grid Interfaces
- Convergence Properties of the Spline Fit
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