Convergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures
DOI10.1016/j.cma.2019.112722zbMath1441.74097arXiv1905.04143OpenAlexW2944412724WikidataQ126812858 ScholiaQ126812858MaRDI QIDQ2175280
Publication date: 29 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.04143
adaptive finite element methodelastic wave equationtransparent boundary conditiona posteriori estimateDtN mapscattering by periodic structures
Finite element methods applied to problems in solid mechanics (74S05) 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)
Related Items (7)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis
- Non-reflecting boundary conditions for elastic waves
- Absorbing PML boundary layers for wave-like equations
- A posteriori error indicators for Maxwell's equations
- A perfectly matched layer for the absorption of electromagnetic waves
- On the existence and convergence of the solution of PML equations
- On nonreflecting boundary conditions
- Convergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures
- Dirichlet-to-Neumann map for three-dimensional elastic waves
- An adaptive finite element method for the wave scattering with transparent boundary condition
- Mathematical Modeling in Optical Science
- Variational approach to scattering of plane elastic waves by diffraction gratings
- Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem
- Maxwell's Equations in a Periodic Structure
- Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
- An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Radiation boundary conditions for wave-like equations
- Integral Equation Methods in a Quasi-Periodic Diffraction Problem for the Time-Harmonic Maxwell’s Equations
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Error Estimates for Adaptive Finite Element Computations
- The Perfectly Matched Layer in Curvilinear Coordinates
- Variational Approximation of Maxwell's Equations in Biperiodic Structures
- 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
- Data Oscillation and Convergence of Adaptive FEM
- Finite Element Approximation of Time Harmonic Waves in Periodic Structures
- A Convergent Adaptive Algorithm for Poisson’s Equation
- New development in freefem++
- Inverse elastic surface scattering with near-field data
- 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
- 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
- Convergence of the PML method for elastic wave scattering problems
- A new integral equation formulation for the scattering of plane elastic waves by diffraction gratings
This page was built for publication: Convergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures