Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915871 | Computer Methods in Applied Mechanics and Engineering | 2016 | 24 Pages |
Abstract
We give a weak formulation for solving the wave equation (uÌ=â2u+f) on a 2-dimensional immersed domain. In the spatial finite element discretization, boundaries do not conform to element boundaries. Dirichlet and Neumann boundary conditions are enforced weakly by Nitsche's method. Additional penalty terms act on the gradient jumps over the interior faces of the elements cut by the boundary. These terms ensure a non-stiff temporal system, which makes it possible to perform explicit time stepping. We give optimal a priori error estimates: second order accuracy for uâuh and uÌâuÌh, and first order accuracy for â(uâuh) in L2-norm. Numerical results verify this.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Simon Sticko, Gunilla Kreiss,