A unified variational approach to domain-based computation of exterior problems of time-harmonic acoustics
From MaRDI portal
Publication:1294485
DOI10.1016/S0168-9274(98)00023-3zbMath0936.76030MaRDI QIDQ1294485
Publication date: 18 May 2000
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Variational methods applied to problems in fluid mechanics (76M30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
A survey of finite element methods for time-harmonic acoustics, ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION, THREE-DIMENSIONAL INFINITE ELEMENTS BASED ON A TREFFTZ FORMULATION, Construction of a probabilistic model for impedance matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral methods for exterior elliptic problems
- A combined analytic-finite element method for elastic shells
- Non-reflecting boundary conditions for elastic waves
- The numerical solution of the Helmholtz equation for wave propagation problems in underwater acoustics
- Numerical solution for exterior problems
- Exact non-reflecting boundary conditions
- A finite element method for exterior interface problems
- 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
- Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
- Scattering theory for the d'Alembert equation in exterior domains
- A finite element method for large domains
- Optimal local non-reflecting boundary conditions
- Solution of 3D-Laplace and Helmholtz equations in exterior domains using \(hp\)-infinite elements
- A domain decomposition method for the Helmholtz equation and related optimal control problems
- High-order boundary conditions and finite elements for infinite domains
- \(h\)-adaptive finite element computation of time-harmonic exterior acoustics problems in two dimensions
- A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations
- On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(\mathbb{R}^ 2\)
- Stable coupling method for interface scattering problems by combined integral equations and finite elements
- On nonreflecting boundary conditions
- Complex wave-number dispersion analysis of Galerkin and Galerkin least-squares methods for fluid-loaded plates
- Artificial boundary conditions for 2D problems in geophysics
- Special finite elements for use with high-order boundary conditions
- Transient spheroidal elements for unbounded wave problems
- A new mapped infinite wave element for general wave diffraction problems and its validation on the ellipse diffraction problem
- An ellipsoidal acoustic infinite element
- A summary of infinite element formulations for exterior Helmholtz problems
- Higher-order boundary infinite elements
- Discrete Dirichlet-to-Neumann maps for unbounded domains
- On non-reflecting boundary conditions in unbounded elastic solids
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- An exterior interface problem in two-dimensional elastodynamics
- Mapped infinite elements for exterior wave problems
- On an alleged philosophers' stone concerning variational principles with subsidiary conditions
- The Localized Finite Element Method and Its Application to the Two-Dimensional Sea-Keeping Problem
- On an Improper Modification of a Variational Principle for Finite Element Plate Analysis
- A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
- A novel boundary infinite element
- Computation of waves generated by submarine landslides
- The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems∗
- Finite element dispersion analysis for the three‐dimensional second‐order scalar wave equation
- A critical assessment of the Simplified Hybrid Displacement Method
- Infinite elements
- Mapped Wave Envelope Elements for Acoustical Radiation and Scattering
- Studies of domain‐based formulations for computing exterior problems of acoustics
- On the Nonuniqueness of Solutions Obtained With Simplified Variational Principles
- A MATRIX-FREE INTERPRETATION OF THE NON-LOCAL DIRICHLET-TO-NEUMANN RADIATION BOUNDARY CONDITION
- Finite element formulations for exterior problems: application to hybrid methods, non-reflecting boundary conditions, and infinite elements
- Non‐local and local artificial boundary conditions for two‐dimensional flow in an infinite channel
- A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
- Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
