Convergence Analysis and the Nested Refinement for the Trapezoid Finite Element
In this paper, a class of the new method of nested refinement based on self-adaption grid is discussed. The level trapezoid grid nested refinement on the plan domain and some related properties are investigated, and the convergence results are obtained for the second order self-adjoint elliptic problem on the trapezoid finite element.
Q. S. Wang and X. L. Wang, "Convergence Analysis and the Nested Refinement for the Trapezoid Finite Element", Advanced Materials Research, Vols. 317-319, pp. 1921-1925, 2011