Absorbing boundaries for wave propagation problems
From MaRDI portal
Publication:1102727
DOI10.1016/0021-9991(86)90199-3zbMath0644.65086OpenAlexW1965717698MaRDI QIDQ1102727
Publication date: 1986
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(86)90199-3
Schrödinger equationswave equationsabsorbing boundary conditionsacoustic equationnumerical simulation of wave propagationnumerical grids
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Hydro- and aero-acoustics (76Q05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)
Related Items
The Chebyshev propagator for quantum systems, A space-time discontinuous Galerkin method for the elastic wave equation, Rapid evaluation of radiation boundary kernels for time-domain wave propagation on black holes: theory and numerical methods, Bound states and scattering in quantum waveguides coupled laterally through a boundary window, Wave propagation in partially saturated porous media: simulation of a second slow wave, Discrete transparent boundary conditions for Schrödinger-type equations, Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, The calculation of product quantum state distributions and partial cross-sections in time-dependent molecular collision and photodissociation theory, Time-dependent wavepacket methods for the calculation of collinear atom-diatom exchange reaction probabilities, Quantum time-dependent treatment of molecular collisions: Scattering of He by \(H_ 2 (B^ 1 \Sigma^ +_ u)\), Nonperturbative methods for the study of multiphoton dynamics in intense periodic and multi-color laser fields, A new computational algorithm for Green's functions: Fourier transform of the Newton polynomial expansion, 3-D wave simulation in anelastic media using the Kelvin-Voigt constitutive equation, Stability of a Chebychev pseudospectral solution of the wave equation with absorbing boundaries, Quantum mechanics with complex injecting potentials, SPEED: SPectral Elements in Elastodynamics with Discontinuous Galerkin: a non-conforming approach for 3D multi-scale problems, An arbitrary Lagrangian-Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: an implicit method, Frequency domain finite-element and spectral-element acoustic wave modeling using absorbing boundaries and perfectly matched layer, A unified higher-order unsplit CFS-PML technique for solving second-order seismic equations using discontinuous Galerkin method, Scattered wave packet formalism for open quantum systems: Comparison with the non-Markovian time-dependent Schrödinger equation, Nearly perfectly matched layer boundary conditions for operator upscaling of the acoustic wave equation, Numerical modeling of seismic waves by discontinuous spectral element methods, A semiclassical transport model for two-dimensional thin quantum barriers, Multi-domain Chebyshev-Fourier method for the solution of the equations of motion of dynamic elasticity, Transparent and absorbing boundary conditions for the schrödinger equation in a bounded domain, SOLVING TIME-DEPENDENT EQUATIONS OF SCHRÖDINGER-TYPE USING MAPPED INFINITE ELEMENTS, A theoretical model for electron transfer in ion-atom collisions: calculations for the collision of a proton with an argon atom, Treatment of angular derivatives in the Schrödinger equation by the finite Fourier series method, Wave field simulation for heterogeneous porous media with singular memory drag force, Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension, Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies, Quantum wave packet approach to the Eley-Rideal reactive scattering between a gas phase atom and an adsorbate, Wave field simulation for heterogeneous transversely isotropic porous media with the JKD dynamic permeability, Chebyshev pseudospectral method for wave equation with absorbing boundary conditions that does not use a first order hyperbolic system, Absorbing Boundary Conditions, Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions, A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems, Calculations of time-dependent observables in non-Hermitian quantum mechanics: The problem and a possible solution, Numerical Algorithms for Schrödinger Equation with Artificial Boundary Conditions, A 2D Chebyshev differential operator for the elastic wave equation, On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review, Numerical solution of problems on unbounded domains. A review, Non-reflecting boundary conditions, Hybrid absorbing scheme based on hyperelliptical layers with non-reflecting boundary conditions in scalar wave equations, Time-dependent methods to study the dissociation dynamics of tri- and tetra-atomic clusters, On a wavelet-based method for the numerical simulation of wave propagation
Cites Work
