Convergence of the PML method for elastic wave scattering problems
From MaRDI portal
Publication:5741489
DOI10.1090/mcom/3100zbMath1344.65104OpenAlexW2330055008MaRDI QIDQ5741489
Xiaohui Zhang, Zhiming Chen, Xueshuang Xiang
Publication date: 25 July 2016
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/e60e9fb5c052086012fb6220bfc9dc592a1ccb42
stabilityconvergencenumerical resultperfectly matched layer methodtime harmonic elastic wave scattering
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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (21)
Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems ⋮ An adaptive finite element DtN method for the elastic wave scattering by biperiodic structures ⋮ An adaptive finite element DtN method for the elastic wave scattering problem ⋮ Towards a combined perfectly matching layer and infinite element formulation for unbounded elastic wave problems ⋮ Direct and inverse elastic scattering from anisotropic media ⋮ Convergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures ⋮ On perfectly matched layers for discontinuous Petrov-Galerkin methods ⋮ PML Method for Electromagnetic Scattering Problem in a Two-Layer Medium ⋮ Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium ⋮ A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems ⋮ An edge-based smoothed finite element method for wave scattering by an obstacle in elastic media ⋮ Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition ⋮ An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions ⋮ An Adaptive Finite Element PML Method for the Acoustic Scattering Problems in Layered Media ⋮ The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures ⋮ Time-domain analysis of forward obstacle scattering for elastic wave ⋮ A stable node-based smoothed finite element method with PML technique for the elastic wave obstacle scattering ⋮ A direct imaging method for half-space inverse elastic scattering problems ⋮ A PML finite element method for electromagnetic scattering problems in a two-layer medium ⋮ Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems ⋮ An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\)
- Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\)
- A perfectly matched layer for the absorption of electromagnetic waves
- On the existence and convergence of the solution of PML equations
- Elliptic partial differential equations of second order
- Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\)
- An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems
- Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
- Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem
- Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
- Improving the performance of perfectly matched layers by means of hp‐adaptivity
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- The Perfectly Matched Layer in Curvilinear Coordinates
- An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
- Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
- An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems
- Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations
- An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
This page was built for publication: Convergence of the PML method for elastic wave scattering problems
