Abstract
assumed fields (intra-element filed and auxiliary frame field) are employed and the domain integrals in the variational functional can be directly converted to boundary integrals without any appreciable increase in computational effort as in HT-FEM.the assumed intraelement field was constructed by the linear combination of fundamental solutions at points outside the elemental domain under consideration, The independent frame field was introduced to guarantee the interelement continuity and the stationary condition of the new variational functional is used to obtain the final stiffness equations.
Highlights
Γqe qu dΓ in which u is temperature, k is the thermal conductivity, an q represents the boundary heat flux
In contrast to the T-complete function used in Hybrid Trefftz finite element method (HT-FEM), the fundamental solution in HFS-FEM is easy to derive, and further, the determination of source points is easier to operate than selecting appropriate terms from T-complete series in HT-FEM
HFS-FEM can define the fundamental solution at element level and can be flexibly used to analyze problems with different material properties
Summary
Γqe qu dΓ in which u is temperature, k is the thermal conductivity, an q represents the boundary heat flux. In which u is temperature, k is the thermal conductivity, an q represents the boundary heat flux. The boundary Γe of a particular element e consists of the following parts
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
