An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions
DOI10.1137/21M1392000zbMath1479.65024arXiv2101.05835OpenAlexW3212816922MaRDI QIDQ5020746
Xiaokai Yuan, Gang Bao, Peijun Li
Publication date: 7 January 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05835
a posteriori error estimateadaptive finite element methodelastic wave equationDirichlet-to-Neumann operatortransparent boundary conditionobstacle scattering problem
Wave scattering in solid mechanics (74J20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis
- Dirichlet-to-Neumann boundary conditions for multiple scattering problems
- Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids
- Non-reflecting boundary conditions for elastic waves
- Inverse acoustic and electromagnetic scattering theory.
- Direct and inverse elastic scattering from anisotropic media
- On nonreflecting boundary conditions
- Inverse obstacle scattering for elastic waves in three dimensions
- Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods
- An adaptive finite element DtN method for the three-dimensional acoustic scattering problem
- Dirichlet-to-Neumann map for three-dimensional elastic waves
- An adaptive finite element method for the wave scattering with transparent boundary condition
- Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics
- Exact calculation of Fourier series in nonconforming spectral-element methods
- Finite element method to fluid-solid interaction problems with unbounded periodic interfaces
- Inverse obstacle scattering for elastic waves
- Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- Radiation boundary conditions for wave-like equations
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Wavenumber explicit analysis for time-harmonic Maxwell equations in a spherical shell and spectral approximations
- Finite Element Methods for Maxwell's Equations
- New development in freefem++
- An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures
- An Adaptive Finite Element Method for the Diffraction Grating Problem with Transparent Boundary Condition
- Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method
- Convergence of the PML method for elastic wave scattering problems
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
