Finite Element Methods of Singular Two-Point Boundary Value Problems.

摘要

Until quite recently, few effective numerical solution techniques were known for solving two-point boundary value problems for the equation -d/dx(p(x)du/dx) + qu = f, 0 < x < 1, p(0) = 0. This dissertation analyzes several new finite element methods for approximating the solution of this problem, and presents new analysis for some known methods.