On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case

Trevelyan, J.; Coates, G.

doi:10.3970/cmes.2010.055.147

All Outputs (6)

A Theoretical Framework for the Optimisation of the Structural Layout of an Aircraft using Deterministic and Stochastic Optimisation Techniques (2010)
Conference Proceeding
Allen, J., Coates, G., & Trevelyan, J. (2010). A Theoretical Framework for the Optimisation of the Structural Layout of an Aircraft using Deterministic and Stochastic Optimisation Techniques.

A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers (2010)
Journal Article
Laghrouche, O., El-Kacimi, A., & Trevelyan, J. (2010). A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers. Journal of Computational and Applied Mathematics, 234(6), https://doi.org/10.1016/j.cam.2009.08.014

A q-adaptive partition of unity finite element method for the solution of the 2D Helmholtz equation. (2010)
Journal Article
Mohamed, M., Laghrouche, O., & Trevelyan, J. (2010). A q-adaptive partition of unity finite element method for the solution of the 2D Helmholtz equation

Numerical evaluation of two-dimensional partition of unity boundary integrals for Helmholtz problems. (2010)
Journal Article
Honnor, M., Trevelyan, J., & Huybrechs, D. (2010). Numerical evaluation of two-dimensional partition of unity boundary integrals for Helmholtz problems. Journal of Computational and Applied Mathematics, 234(6), 1656-1662. https://doi.org/10.1016/j.cam.2009.08.012

There has been considerable attention given in recent years to the problem of extending finite and boundary element-based analysis of Helmholtz problems to higher frequencies. One approach is the Partition of Unity Method, which has been applied succ... Read More about Numerical evaluation of two-dimensional partition of unity boundary integrals for Helmholtz problems..

A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics (2010)
Journal Article
Bird, G., Trevelyan, J., & Augarde, C. (2010). A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics. Engineering Analysis with Boundary Elements, 34(6), 599-610. https://doi.org/10.1016/j.enganabound.2010.01.007

Issues relating to the practical implementation of the coupled boundary element–scaled boundary finite element method are addressed in this paper. A detailed approach highlights fully the process of applying boundary conditions, including the treatme... Read More about A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics.

On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case (2010)
Journal Article
Trevelyan, J., & Coates, G. (2010). On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case. Computer Modeling in Engineering & Sciences, 55(2), 147-170. https://doi.org/10.3970/cmes.2010.055.147

The terminology "wave boundary elements" relates to boundary elements enriched in the Partition of Unity sense by a multiple plane wave basis for the analysis of the propagation of short wavelength waves. This paper presents a variant of this approac... Read More about On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case.