Mesh based methods such as FEM has achieved a remarkable success in
solving many engineering and science problems. However, it is
widely known that the solution accuracy of these methods is largely
depends on the quality of mesh generated. This becomes a serious
problem when the mesh becomes distorted or changes with time.
Moreover, the generation of higher order shape functions is also
difficult for these methods. Due to these problems, mesh based
methods are not well suited for certain types of problems such as
strongly non-linear heat transfer and growth under thermo-elastic
loading, etc. To overcome these problems, meshfree methods have
been emerged as new computational tool. Element free Galerkin
method (EFGM) is one of them. Although, a lot of literature exists
on meshfree methods including few books in the area of solid
mechanics, but not much literature exists in the area of heat
transfer. Only few research papers are available on heat transfer
using meshfree methods. Therefore, this monograph will not only
provide the applications of EFGM in heat transfer but also provides
the formulations along with its implementation methodology.
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