A plane wave virtual element method for the Helmholtz problem (Q2814657)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A plane wave virtual element method for the Helmholtz problem |
scientific article; zbMATH DE number 6596743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A plane wave virtual element method for the Helmholtz problem |
scientific article; zbMATH DE number 6596743 |
Statements
A plane wave virtual element method for the Helmholtz problem (English)
0 references
22 June 2016
0 references
Helmholtz equation
0 references
virtual element method
0 references
plane wave basis functions
0 references
error analysis
0 references
duality estimates
0 references
stabilization
0 references
convergence
0 references
numerical result
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.9165989
0 references
0.8955188
0 references
0.8955137
0 references
0.8944367
0 references
0.8897254
0 references
0 references
0.8865201
0 references
Plane wave functions are a particular case of Trefftz functions for Helmholtz problem. As a first construction of a plane-virtual element method (PW-VEM), the authrs focus here on the 2D Helmholtz problem with impedance boundary conditions on the whole domain boundary. On polygonal meshes, these basis functions are products of low order VEM functions associated to the mesh vertices, multiplied by a linear combination of \(p\) plane waves centered at the corresponding vertices. The analyzed of the \(h\)-version of the method is given in an abstract form. Some numerical tests are presented.
0 references
