On the Existence of Explicit $hp$-Finite Element Methods Using Gauss–Lobatto Integration on the Triangle
✍ Scribed by Helenbrook, B. T.
- Book ID
- 118182544
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 234 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0036-1429
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## Abstract Integrations of the shallow water equations on the sphere using the finite element method are performed and compared with published integrations of Doron __et al.__ (1974). Better results are obtained with the finite element method than with a second order finite difference method using
A new resolution of parabolic and elliptic partial differential equations (PDEs) based on the mixed finite element approximation on triangles has been recently developed [24,25]. This new approach reduces the number of unknowns from fluxes or Lagrange multiplier defined on edges to a single unknown