Seminars on Numerical Algorithms, Analyses, and Applications: Discontinuous Galerkin Methods for Fourth Order Variational Inequality
- A+
：Jintao Cui (Jinan University)
： 2026-03-06 10:30
：Conference Room C503 at Administration Building at Haiyun Campus
Speaker：Jintao Cui (Jinan University)
Time：2026-3-6 10:30
Location：Conference Room C503 at Administration Building at Haiyun Campus
Abstract:
In this work, we study a family of discontinuous Galerkin methods and other methods for the displacement obstacle problem of Kirchhoff plates on convex polyhedral domains, which are characterized as fourth-order elliptic variational inequalities of the first kind. We develop a unified approach for DG methods where the weak complementarity form of the variational inequality is used. We prove that the error in the energy norm is of order α for the quadratic method, where α is determined by the geometry of the domain. Under additional regularity assumptions on the solution and contact set, we derive an improved error estimate for the cubic method. Numerical experiments demonstrate the performance of the methods and confirm the theoretical results.
