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Aspects of the use of orthogonal basis functions in the element-free Galerkin method (2010)
Journal Article
Zhuang, X., & Augarde, C. (2010). Aspects of the use of orthogonal basis functions in the element-free Galerkin method. International Journal for Numerical Methods in Engineering, 81(3), 366-380. https://doi.org/10.1002/nme.2696

The element free Galerkin (EFG) method is probably the most widely used meshless method at present. In the EFG method, shape functions are derived from a moving least squares approximation using a polynomial basis, a calculation involving the inversi... Read More about Aspects of the use of orthogonal basis functions in the element-free Galerkin method.

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..