Reducing dispersion of linear triangular elements for the Helmholtz equation

Journal of Engineering Mechanics

Volumn 128, Issue 3, 2002, Pages 351-358

  Harari, Isaac ^a   Nogueira, Carnot L ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b Accounting Court of Pernambuco ^*  (Brazil)

Author keywords

Acoustic waves; Dispersion; Finite elements; Triangles

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; HARMONIC ANALYSIS; LEAST SQUARES APPROXIMATIONS;

GALERKIN/LEAST SQUARES (GLS) MODIFICATION;

STATISTICAL MECHANICS;

ACOUSTIC TECHNIQUE; DISPERSION;

EID: 0036496461     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2002)128:3(351)     Document Type: Article

References (29)

1. A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
2. The partition of unity method
3. Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?
4. 1-optimal finite element methods
5. Boundary conditions for the numerical solution of elliptic equations in exterior regions
6. Influence of the pollution on the admissible field error estimation for FE solutions of the Helmholtz equation
7. Dispersive properties of the natural element method
8. Dispersion analysis of numerical approximations to plane wave motions in an isotropic elastic solid
9. The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation
10. Results of von Neumann analyses for reproducing kernel semi-discretizations
11. Subgrid modeling in a Galerkin method for the Helmholtz equation
12. Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions
13. Finite element solution of two-dimensional acoustic scattering problems using arbitrarily shaped convex artificial boundaries
14. Residual-free bubbles for the Helmholtz equation
15. A two-level finite element method and its application to the Helmholtz equation
16. On the pollution effect in FE solutions of the 3D-Helmholtz equation
17. Reducing spurious dispersion, anisotropy and reflection in finite element analysis of time-harmonic acoustics
18. Finite element dispersion of cylindrical and spherical acoustic waves
19. Finite element methods for the Helmholtz equation in an exterior domain: Model problems
20. Galerkin/least-squares finite element methods for the reduced wave equation with nonreflecting boundary conditions in unbounded domains
21. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
22. Optimal formulation of simple finite elements
23. The partition of unity method finite element method: Basic theory and applications
24. Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
25. A multiscale finite element method for the Helmholtz equation
26. A numerical comparison of finite element methods for the Helmholtz equation
27. A residual-based finite element method for the Helmholtz equation
28. h-adaptive finite element computation of time-harmonic exterior acoustics problems in two dimensions
29. A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation