Hybrid-Trefftz six-node triangular finite element models for Helmholtz problem
DOI10.1007/s00466-010-0494-0zbMath1398.65255OpenAlexW2103078477MaRDI QIDQ987432
Publication date: 13 August 2010
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-010-0494-0
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Four- and eight-node hybrid-Trefftz quadrilateral finite element models for Helmholtz problem
- State-of-the-art development of hybrid/mixed finite element method
- Analysis of electromechanical stress singularity in piezoelectrics by computed eigensolutions and hybrid-Trefftz finite element models
- Trefftz-based methods for time-harmonic acoustics
- Basis for development of large finite elements locally satisfying all field equations
- Hybrid-Trefftz displacement element for spectral analysis of bounded and unbounded media.
- Global and local Trefftz boundary integral formulations for sound vibration.
- A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems.
- A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
- Solving anti-plane problems of piezoelectric materials by the trefftz finite element approach
- The discontinuous enrichment method for multiscale analysis.
- Non-conventional formulations for the finite element method
- Application of an efficient wave-based prediction technique for the analysis of vibro-acoustic radiation problems
- An improved partition of unity finite element model for diffraction problems
- An asymmetric indirect Trefftz method for solving free-vibration problems
- Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
- A hybrid‐Trefftz finite element model for Helmholtz problem
- Exact integration of polynomial-exponential products with application to wave-based numerical methods
- Trefftz method: Fitting boundary conditions
- Plane isoparametric hybrid-stress elements: Invariance and optimal sampling
- Mixed and Hybrid Finite Element Methods
- On invariance of isoparametric hybrid/mixed elements
- Solution of Helmholtz equation by Trefftz method
- Connectivity as an alternative to boundary integral equations: Construction of bases
- THE PARTITION OF UNITY METHOD
- Survey of trefftz-type element formulations
- A numerical integration scheme for special finite elements for the Helmholtz equation
- Trefftz method: A general theory
- An eight-node hybrid-stress solid-shell element for geometric non-linear analysis of elastic shells
- A hybrid‐element approach to crack problems in plane elasticity
- Higher‐order extensions of a discontinuous Galerkin method for mid‐frequency Helmholtz problems
This page was built for publication: Hybrid-Trefftz six-node triangular finite element models for Helmholtz problem
