Modelling of short wave diffraction problems using approximating systems of plane waves
From MaRDI portal
Publication:4785182
DOI10.1002/nme.478zbMath1098.76574OpenAlexW2090441313WikidataQ107160535 ScholiaQ107160535MaRDI QIDQ4785182
Omar Laghrouche, R. J. Astley, P. Bettess
Publication date: 17 December 2002
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.478
Finite element methods applied to problems in solid mechanics (74S05) Wave scattering in solid mechanics (74J20) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Numerical modeling of undersea acoustics using a partition of unity method with plane waves enrichment, New special wave boundary elements for short wave problems, Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses, On Stability of Discretizations of the Helmholtz Equation, A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation, Assessment of finite and spectral element shape functions for efficient iterative simulations of interior acoustics, A mapped finite and infinite partition of unity method for convected acoustic radiation in axisymmetric domains, The generalized finite element method for Helmholtz equation: theory, computation, and open problems, Time-independent hybrid enrichment for finite element solution of transient conduction-radiation in diffusive grey media, Highly accurate acoustic scattering: isogeometric analysis coupled with local high order Farfield Expansion ABC, Novel basis functions for the partition of unity boundary element method for Helmholtz problems, A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two-dimensional acoustic scattering, Dispersion analysis of plane wave discontinuous Galerkin methods, Mixed enrichment for the finite element method in heterogeneous media, Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics, A Survey of Trefftz Methods for the Helmholtz Equation, Plane wave basis in Galerkin BEM for bidimensional wave scattering, A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems, Partition of unity finite element method for short wave propagation in solids, Iterative solution with shifted Laplace preconditioner for plane wave enriched isogeometric analysis and finite element discretization for high-frequency acoustics, Bernstein-Bézier based finite elements for efficient solution of short wave problems, An integration scheme for electromagnetic scattering using plane wave edge elements, Pollution studies for high order isogeometric analysis and finite element for acoustic problems, Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems, FINITE ELEMENT MODELING OF ACOUSTICS USING HIGHER ORDER ELEMENTS PART I: NONUNIFORM DUCT PROPAGATION, Wavelet based ILU preconditioners for the numerical solution by PUFEM of high frequency elastic wave scattering, A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers, Plane wave decomposition in the unit disc: convergence estimates and computational aspects, Special short wave elements for flow acoustics, Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed, Local adaptive \(q\)-enrichments and generalized finite elements for transient heat diffusion problems, Comparison of two wave element methods for the Helmholtz problem, A comparison of high-order polynomial and wave-based methods for Helmholtz problems, Improvement of PUFEM for the numerical solution of high-frequency elastic wave scattering on unstructured triangular mesh grids, Plane wave basis finite‐elements for wave scattering in three dimensions, Coupling of mapped wave infinite elements and plane wave basis finite elements for the Helmholtz equation in exterior domains, Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method, Implementation and computational aspects of a 3D elastic wave modelling by PUFEM, Plane wave discontinuous Galerkin methods: Analysis of theh-version, Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem, The application of the \(hp\)-finite element method to electromagnetic problems, A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering, A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials, Synthesis of highly convergent 2D and 3D finite elements for short acoustic wave simulation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element analysis of acoustic scattering
- The partition of unity finite element method: basic theory and applications
- The design and analysis of the generalized finite element method
- A new mapped infinite wave element for general wave diffraction problems and its validation on the ellipse diffraction problem
- An improved partition of unity finite element model for diffraction problems
- SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS
- Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
- The effectiveness of dampers for the analysis of exterior scalar wave diffraction by cylinders and ellipsoids
- Finite element formulations for acoustical radiation
- Wave envelope and infinite elements for acoustical radiation
- Connectivity as an alternative to boundary integral equations: Construction of bases
- Mapped Wave Envelope Elements for Acoustical Radiation and Scattering
- THE PARTITION OF UNITY METHOD
- High frequency approximation of integral equations modeling scattering phenomena
- Wave envelope examples for progressive waves
- The pressure of water waves upon a fixed obstacle