Special Session 79: Recent Advancements in the Numerical Analysis of Nonlinear Partial Differential Equations
A Conforming Partition of Unity Method for a Class of Variational Inequalities of the Second Kind
Christopher B Davis
Tennessee Tech USA
Co-Author(s): Yi Zhang
Abstract:
In this work, we consider the use of a flat-top partition of unity method to solve a class of fourth order variational inequalities of the second kind. Under the assumption that the solution is $H^3(\Omega)$ regular, optimal error estimates are made in the energy norm. Numerical examples are given to demonstrate the effectiveness of the proposed method.