Abstract: This articlc proposcs a new finite clement space, which uses Lagrangian type intcrpolation space with an arbitrary series expansion with any number of generalized displacements on each node instcad of just one generalized displacement. This new space may include the analytic method and the P-version method. It is a conforming space and keeps all the degrees of freedom on the nodal points, so it is casy for implementation and is compatablc With thc con-ventional finite clement programs. The crror estimatc is...