For acoustic computations in the mid-frequency range the finite element method (FEM) is a well-known standard tool. Unfortunately, for increasing frequencies, i.e. higher wavenumbers, the FEM suffers from the so-called pollution effect which is mainly a consequence of the dispersion, meaning that the numerical wavenumber and the exact wavenumber disagree. Using meshfree methods as, e.g., the radial point interpolation method (RPIM) or the element-free Galerkin method (EFGM) can reduce this effect significantly. Moreover, meshfree methods allow the usage of shape functions that can be adapted to the differential equation to be solved. Consequently, an iterative method can be derived, which uses a standard meshfree method to compute a first a...
In various engineering applications, the solution of the Helmholtz equation is required over a broad...
When using a domain-based method for solving problems in unbounded domains, the computational domain...
International audienceSolving the Helmholtz equation by finite element methods is quite important in...
It is well known today that the standard finite element method (FEM) is unreliable to compute approx...
The Element-Free Galerkin Method (EFGM), a particular case of the meshless methods, is examined in i...
In the simulation of acoustic wave propagation, addressed by the Helmholtz equation, the Finite Elem...
This paper deals with the numerical simulation of the acoustic wave propagation. It is well known to...
Some meshless methods have been applied to the numerical solution of boundary value problems involvi...
The standard finite element method (FEM) is unreliable to compute approximate solutions of the Helmh...
Some meshless methods have been applied to the numerical solution of boundary value problems involvi...
The element-free Galerkin method is formulated for the Helmholtz problem. It is based on a moving le...
Abstract(#br)A quasi-consistent integration method is presented for the efficient meshfree analysis ...
When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the error of the c...
This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz e...
Element based methods, such as the finite element method and the boundary element method, are most c...
In various engineering applications, the solution of the Helmholtz equation is required over a broad...
When using a domain-based method for solving problems in unbounded domains, the computational domain...
International audienceSolving the Helmholtz equation by finite element methods is quite important in...
It is well known today that the standard finite element method (FEM) is unreliable to compute approx...
The Element-Free Galerkin Method (EFGM), a particular case of the meshless methods, is examined in i...
In the simulation of acoustic wave propagation, addressed by the Helmholtz equation, the Finite Elem...
This paper deals with the numerical simulation of the acoustic wave propagation. It is well known to...
Some meshless methods have been applied to the numerical solution of boundary value problems involvi...
The standard finite element method (FEM) is unreliable to compute approximate solutions of the Helmh...
Some meshless methods have been applied to the numerical solution of boundary value problems involvi...
The element-free Galerkin method is formulated for the Helmholtz problem. It is based on a moving le...
Abstract(#br)A quasi-consistent integration method is presented for the efficient meshfree analysis ...
When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the error of the c...
This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz e...
Element based methods, such as the finite element method and the boundary element method, are most c...
In various engineering applications, the solution of the Helmholtz equation is required over a broad...
When using a domain-based method for solving problems in unbounded domains, the computational domain...
International audienceSolving the Helmholtz equation by finite element methods is quite important in...