Fundamental Solution Based Finite Element Method

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.