Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900698 | Applied Mathematics and Computation | 2018 | 15 Pages |
Abstract
We construct L2-orthogonal conforming elements of arbitrary order for the Local Projection Stabilization (LPS). L2-orthogonal basis functions lead to a diagonal mass matrix which can be advantageous for time discretizations. We prove that the constructed family of finite elements satisfies a local inf-sup condition. Additionally, we investigate the size of the local inf-sup constant with respect to the polynomial degree. Our numerical tests show that the discrete solution is oscillation-free and of optimal accuracy in the regions away from the boundary or interior layers.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
F. Schieweck, P. Skrzypacz, L. Tobiska,