Absorbing PML boundary layers for wave-like equations

From MaRDI portal
Publication:1294484

DOI10.1016/S0168-9274(98)00026-9zbMath0933.35188MaRDI QIDQ1294484

Eli Turkel, Amir Yefet

Publication date: 12 September 1999

Published in: Applied Numerical Mathematics (Search for Journal in Brave)




Related Items

High-order non-reflecting boundary scheme for time-dependent wavesOptimized weak coupling of boundary element and finite element methods for acoustic scatteringAn adaptive finite element DtN method for the elastic wave scattering problemOptimal design of acoustic metamaterial cloaks under uncertaintyPerfectly matched layer for the time domain finite element methodA survey of finite element methods for time-harmonic acousticsStandard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analysesCoupled acoustic response of two-dimensional bounded and unbounded domains using doubly-asymptotic open boundariesAbsorbing boundary conditions for scalar waves in anisotropic media. 1: Time harmonic modelingValidation of PML-based models for the evaluation of anchor dissipation in MEMS resonatorsParallel iterative solution for the Helmholtz equation with exact non-reflecting boundary conditionsHigher-order correction to the FDTD method based on the integral form of Maxwell's equationsAnalysis of underwater acoustic scattering problems using stable node-based smoothed finite element methodA computational method for the Helmholtz equation in unbounded domains based on the minimization of an integral functionalAnalysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterialsPerfectly matched layers versus discrete transparent boundary conditions in quantum device simulationsAn adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary conditionCoupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered mediumThe 3D wave equation and its Cartesian coordinate stretched perfectly matched embedding -- a time-domain Green's function performance analysisMixed unsplit-field perfectly matched layers for transient simulations of scalar waves in heterogeneous domainsAcoustic inverse scattering via Helmholtz operator factorization and optimizationConvergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structuresAn optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problemsAn adaptive finite element method for the wave scattering with transparent boundary conditionOn perfectly matched layers for discontinuous Petrov-Galerkin methodsAbsorbing boundary conditions for the Euler and Navier-Stokes equations with the spectral difference methodAnalysis and application of a spatial fourth-order finite difference scheme for the Ziolkowski's PML modelNumerical design of FSHL-based approximate cloaks with arbitrary shapesModeling and analysis of the optical black hole in metamaterials by the finite element time-domain methodLong-time performance of unsplit pmls with explicit second order schemesSolution of the time-harmonic viscoelastic inverse problem with interior data in two dimensionsStability of perfectly matched layers, group velocities and anisotropic waves.Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite element implementation.Development of PML absorbing boundary conditions for computational aeroacoustics: a progress reviewA quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equationArtificial boundary conditions for the numerical simulation of unsteady acoustic waves.Adaptive perfectly matched layer method for multiple scattering problemsA fourth-order optimal finite difference scheme for the Helmholtz equation with PMLNon-linear PML equations for time dependent electromagnetics in three dimensionsAn adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problemsPerfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensatesEdged-based smoothed point interpolation method for acoustic radiation with perfectly matched layerRemarks on the stability of Cartesian PMLs in cornersA reflectionless discrete perfectly matched layerANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATIONFINITE ELEMENT SOLUTION OF TWO-DIMENSIONAL ACOUSTIC SCATTERING PROBLEMS USING ARBITRARILY SHAPED CONVEX ARTIFICIAL BOUNDARIESDevelopment of discontinuous Galerkin methods for Maxwell's equations in metamaterials and perfectly matched layersHydrodynamic analysis of flapping-foil thrusters operating beneath the free surface and in wavesAbsorbing boundary conditions for nonlinear Euler and Navier-Stokes equations based on the perfectly matched layer techniqueEfficient and stable perfectly matched layer for CEMAn optimal 25-point finite difference scheme for the Helmholtz equation with PMLTowards perfectly matched layers for time-dependent space fractional PDEsScattering from targets in three-dimensional littoral and surf-zone environments with multi-layered elastic sediments based on an interior-transmission formulationA simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layersA perfectly matched layer formulation adapted for fast frequency sweeps of exterior acoustics finite element modelsCorner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scatteringDevelopment and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger's PML modelAn optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary conditionNon-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equationPerfectly matched layers in 1-D: Energy decay for continuous and semi-discrete wavesA finite element model for acoustic scattering from objects near a fluid-fluid interfaceConvergence Analysis of the PML Method for Time-Domain Electromagnetic Scattering ProblemsAnalysis and application of an equivalent Berenger's PML modelA modified and stable version of a perfectly matched layer technique for the 3-D second order wave equation in time domain with an application to aeroacousticsThe DtN nonreflecting boundary condition for multiple scattering problems in the half-planeA perfectly matched layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flowPerfectly matched layers for time-harmonic second order elliptic problemsNumerical analysis of a PML model for time-dependent Maxwell's equationsAn adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structuresA perfectly matched layer for the Helmholtz equation in a semi-infinite stripDirichlet-to-Neumann boundary conditions for multiple scattering problemsDiscontinuous Galerkin time‐domain solution of Maxwell's equations on locally refined grids with fictitious domainsTime domain electromagnetic scattering using finite elements and perfectly matched layersA non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problemsDerivation and analysis of computational methods for fractional Laplacian equations with absorbing layersA generalized methodology based on higher-order conventional and non-standard FDTD concepts for the systematic development of enhanced dispersionless wide-angle absorbing perfectly matched layersSIXTH-ORDER ACCURATE FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATIONSCALED BOUNDARY FINITE ELEMENT METHOD FOR ACOUSTICSAn adaptive finite element DtN method for the three-dimensional acoustic scattering problemA generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary conditionComparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domainTime-domain analysis of an acoustic-elastic interaction problemAn efficient higher-order PML in WLP-FDTD method for time reversed wave simulationA stable node-based smoothed finite element method with PML technique for the elastic wave obstacle scatteringHigher order finite and infinite elements for the solution of Helmholtz problemsA spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domainsStudies on some perfectly matched layers for one-dimensional time-dependent systemsA PML finite element method for electromagnetic scattering problems in a two-layer mediumStable high-order absorbing boundary condition based on new continued fraction for scalar wave propagation in unbounded multilayer mediaA modified PML acoustic wave equationA performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scatteringPerfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivativesOn the analysis and construction of perfectly matched layers for the linearized Euler equationsPseudospectral computational methods for the time-dependent Dirac equation in static curved spacesNumerical solution of problems on unbounded domains. A reviewMathematical analysis of Ziolkowski's PML model with application for wave propagation in metamaterialsA numerical method for a direct obstacle scattering problemHybrid absorbing scheme based on hyperelliptical layers with non-reflecting boundary conditions in scalar wave equationsComplex Riemannian metric and absorbing boundary conditionsAsymmetric perfectly matched layer for the absorption of waves.Towards a combined perfectly matching layer and infinite element formulation for unbounded elastic wave problemsOn the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equationsFractional Buffer Layers: Absorbing Boundary Conditions for Wave PropagationConstruction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic ProblemsA New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex DomainsConvergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguidesAnalysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential FormA Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem In the Unbounded DomainWell-posedness and convergence analysis of PML method for time-dependent acoustic scattering problems over a locally rough surfaceNumerical solutions for nonlocal wave equations by perfectly matched layers. II: The two-dimensional caseFEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer TruncationTime-Domain Stability of Artificial Boundary Condition Coupled with Finite Element for Dynamic and Wave Problems in Unbounded MediaExplicit finite element perfectly matched layer for transient three-dimensional elastic wavesPerfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary ConditionNobody's Perfect; Matched Layers for Heterogeneous MediaAn Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three DimensionsAn overfilled cavity problem for Maxwell's equationsAn Adaptive Finite Element PML Method for the Acoustic Scattering Problems in Layered MediaAn Adaptive Finite Element PML Method for the Open Cavity Scattering ProblemsMULTIDOMAIN PSEUDOSPECTRAL TIME-DOMAIN (PSTD) METHOD FOR ACOUSTIC WAVES IN LOSSY MEDIAMathematical analysis of a PML model obtained with stretched coordinates and its application to backward wave propagation in metamaterialsTransparent boundary conditions for MHD simulations in stratified atmospheresNumerical Methods for Elastic Wave PropagationAn adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problemsA stable, perfectly matched layer for linearized Euler equations in unsplit physical variablesGlobal discrete artificial boundary conditions for time-dependent wave propagationAbsorbing Boundary ConditionsA priori estimates of attraction basins for nonlinear least squares, with application to Helmholtz seismic inverse problemNumerical Solution of a One-Dimensional Nonlocal Helmholtz Equation by Perfectly Matched LayersAnalysis and FDTD Simulation of a Perfectly Matched Layer for the Drude MetamaterialGlobal energy‐tracking identities and global energy‐tracking splitting FDTD schemes for the <scp>D</scp>rude Models of <scp>M</scp>axwell's equations in three‐dimensional metamaterials



Cites Work


This page was built for publication: Absorbing PML boundary layers for wave-like equations