Sustainable Development Goals
Abstract/Objectives
This project aims to design a weak-Galerkin finite element method (WGFem) to solve nonlinear Stokes equations derived from ice-sheet dynamics. WGFem is a recent developed numerical method for solving PDEs. The methodology has been successfully applied to elliptic, hyperbolic and linear Stokes equations but has not been applied to nonlinear Stokes equations in literature. Due to the flexibility to the grid shape and size, and simplicity on implementation, WGFem is perfectly suited for the nonlinear Stokes equations.
In this project, we plan to address the following issues: 1. Adjust the WGFem to solve steady Stokes ice sheet model. 2. To investigate the advantages and disadvantages of the proposed methods compared to finite elements developed in other subprojects. 3. To analyze the error estimate and stability of the proposed method for nonlinear Stokes equations. 4. Use the simulation results to improve the current ice-sheet model.
Results/Contributions
The project just started couple months ago. We only apply the method on nonlinear problems. We expect to apply the numerical method on ice-sheet model to understand the change of the Antarctic ice sheet. The project response to the Goal 13: Climate Action and Goal 14: Oceans. Climate change and ice-sheet dynamics are highly correlated. Our numerical simulation combines with some real observation data to develop a more efficient and accurate ice-sheet model, and we hope to understand the impact of climate change for ice-sheet dynamic and environment of ocean.
Keywords
ice-sheet dynamicsweak Galerkin finite element methodnonlinear Stokes equations
Contact Information
朱家杰
ccchu@math.nthu.edu.tw