Perfectly matched layers for time-harmonic second order elliptic problems
From MaRDI portal
Publication:970115
DOI10.1007/s11831-010-9041-6zbMath1359.76217OpenAlexW2068543870WikidataQ58040804 ScholiaQ58040804MaRDI QIDQ970115
Alfredo Bermúdez, Rodolfo Rodríguez, Luis Hervella-Nieto, Andrés Prieto
Publication date: 10 May 2010
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11831-010-9041-6
Related Items
Optimized weak coupling of boundary element and finite element methods for acoustic scattering ⋮ Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses ⋮ Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems ⋮ Non Uniform Rational B-Splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions ⋮ An explicit wave based model as alternative to the DtN map for solving unbounded Helmholtz problems with the finite element method ⋮ The double absorbing boundary method ⋮ Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation ⋮ On-surface radiation condition for multiple scattering of waves ⋮ Optimizing perfectly matched layers in discrete contexts ⋮ A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings ⋮ Prediction of transmission, reflection and absorption coefficients of periodic structures using a hybrid wave based -- finite element unit cell method ⋮ A finite element scheme with a high order absorbing boundary condition for elastodynamics ⋮ A perfectly matched layer formulation adapted for fast frequency sweeps of exterior acoustics finite element models ⋮ Long-time stable high-order absorbing boundary conditions for elastodynamics ⋮ Optimized first-order absorbing boundary conditions for anisotropic elastodynamics ⋮ A novel non-reflecting boundary condition for fluid dynamics solved by smoothed particle hydrodynamics ⋮ An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach ⋮ Stability analysis of an explicit integration algorithm with 3D viscoelastic artificial boundary elements ⋮ Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations ⋮ Isogeometric analysis of sound propagation through laminar flow in 2-dimensional ducts ⋮ The double absorbing boundary method for the Helmholtz equation ⋮ The double absorbing boundary method for a class of anisotropic elastic media ⋮ Stable high-order absorbing boundary condition based on new continued fraction for scalar wave propagation in unbounded multilayer media ⋮ Fast Alternating BiDirectional Preconditioner for the 2D High-Frequency Lippmann--Schwinger Equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Guided elastic waves and perfectly matched layers
- Non-reflecting boundary conditions
- A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- Perfectly matched layers in 1-D: Energy decay for continuous and semi-discrete waves
- The PML for rough surface scattering
- Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems
- Numerical solution for exterior problems
- Finite element analysis of acoustic scattering
- On the construction and analysis of absorbing layers in CEM
- Absorbing PML boundary layers for wave-like equations
- A perfectly matched layer for the absorption of electromagnetic waves
- Evaluation of the perfectly matched layer for computational acoustics
- On the existence and convergence of the solution of PML equations
- Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite element implementation.
- Complex Riemannian metric and absorbing boundary conditions
- An exact bounded PML for the Helmholtz equation
- Perturbation theory for linear operators.
- Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
- Well-posed perfectly matched layers for advective acoustics
- Well-posed absorbing layer for hyperbolic problems
- High-order non-reflecting boundary scheme for time-dependent waves
- Introduction to spectral theory. With applications to Schrödinger operators
- A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems
- Optimizing the perfectly matched layer
- Studies of FE/PML for exterior problems of time-harmonic elastic waves
- Perfectly matched layers for Maxwell's equations in second order formulation
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Analysis of the PML equations in general convex geometry
- ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION
- High-order Higdon-like boundary conditions for exterior transient wave problems
- Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
- VALIDATION OF ACOUSTIC MODELS FOR TIME-HARMONIC DISSIPATIVE SCATTERING PROBLEMS
- An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- The Perfectly Matched Layer in Curvilinear Coordinates
- On Optimal Finite-Difference Approximation of PML
- Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
- On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
- Mixed Spectral Finite Elements for the Linear Elasticity System in Unbounded Domains
- Perfectly Matched Layers for the Convected Helmholtz Equation
- Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
- Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations
- Inverse acoustic and electromagnetic scattering theory
- Analysis of a coupled finite-infinite element method for exterior Helmholtz problems
- A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables
