Optimal local non-reflecting boundary conditions
From MaRDI portal
Publication:1294488
DOI10.1016/S0168-9274(98)00020-8zbMath0935.65115OpenAlexW2087958775MaRDI QIDQ1294488
Publication date: 29 June 1999
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00020-8
finite element methodnumerical examplesunbounded domainLaplace equationHelmholtz equationexterior problemsnon-reflecting boundary conditionnonlocal Dirichlet-to-Neumann boundary condition
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 (14)
An optimal high-order non-reflecting finite element scheme for wave scattering problems ⋮ A Nitsche method for wave propagation problems in time domain ⋮ A pseudo-kinetic approach for Helmholtz equation ⋮ OPTIMAL LOCAL NONREFLECTING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES ⋮ Solving exterior problems of wave propagation based on an iterative variation of local DtN operators ⋮ Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity ⋮ Error estimates for the finite element approximation of linear elastic equations in an unbounded domain ⋮ The control-theory-based artificial boundary conditions for time-dependent wave guide problems in unbounded domain ⋮ Learned Infinite Elements ⋮ The DtN nonreflecting boundary condition for multiple scattering problems in the half-plane ⋮ Weak boundary conditions for wave propagation problems in confined domains: formulation and implementation using a variational multiscale method ⋮ High-order nonreflecting boundary conditions without high-order derivatives ⋮ Dirichlet-to-Neumann maps for unbounded wave guides ⋮ A unified variational approach to domain-based computation of exterior problems of time-harmonic acoustics
Cites Work
- Unnamed Item
- Unnamed Item
- Non-reflecting boundary conditions
- Non-reflecting boundary conditions for elastic waves
- Numerical solution for exterior problems
- Exact non-reflecting boundary conditions
- A finite element method for exterior interface problems
- A down-stream boundary procedure for the Euler equations
- A spatially exact non-reflecting boundary condition for time dependent problems
- Analysis of continuous formulations underlying the computation of time- harmonic acoustics in exterior domains
- Finite element solution of the transient exterior structural acoustics problem based on the use of radially asymptotic boundary operators
- Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
- A finite element method for large domains
- Finite-element solution of nonlinear time-dependent exterior wave problems
- Nonreflecting boundary conditions based on Kirchhoff-type formulae
- High-order boundary conditions and finite elements for infinite domains
- Canonical representations of complex vibratory subsystems: Time-domain Dirichlet-to-Neumann maps
- Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s)
- Numerically derived boundary conditions on artificial boundaries
- On nonreflecting boundary conditions
- Artificial boundary conditions for 2D problems in geophysics
- Special finite elements for use with high-order boundary conditions
- Nonreflecting boundary conditions for time-dependent scattering
- Non-Reflecting Finite Element Schemes for Three-Dimensional Acoustic Waves
- Radiation boundary conditions for wave-like equations
- A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
- Computation of waves generated by submarine landslides
- The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems∗
- Radiation boundary conditions for acoustic and elastic wave calculations
- Finite element schemes for non-linear problems in infinite domains
- A MATRIX-FREE INTERPRETATION OF THE NON-LOCAL DIRICHLET-TO-NEUMANN RADIATION BOUNDARY CONDITION
- A numerical method for problems in infinite strips with irregularities extending to infinity
- Non‐local and local artificial boundary conditions for two‐dimensional flow in an infinite channel
- Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders
- Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
- Conditions at the Downstream Boundary for Simulations of Viscous, Incompressible Flow
- Analysis of a coupled finite-infinite element method for exterior Helmholtz problems
This page was built for publication: Optimal local non-reflecting boundary conditions
