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MOC
2011
13 years 6 days ago
An optimal adaptive mixed finite element method
Abstract. Various applications in uid dynamics and computational continuum mechanics motivate the development of reliable and ecient adaptive algorithms for mixed nite element m...
Carsten Carstensen, Hella Rabus
MOC
2011
13 years 6 days ago
Convergence of a mixed method for a semi-stationary compressible Stokes system
We propose and analyze a finite element method for a semi– stationary Stokes system modeling compressible fluid flow subject to a Navier– slip boundary condition. The veloci...
Kenneth H. Karlsen, Trygve K. Karper
MOC
2011
13 years 6 days ago
Analysis of HDG methods for Stokes flow
Abstract. In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically solving the Stokes equations. The method uses polynomials of degree k for all the c...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Ngoc C...
MOC
2011
13 years 6 days ago
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra
Abstract. We prove optimal order error estimates for the Raviart-Thomas interpolation of arbitrary order under the maximum angle condition for triangles and under two generalizatio...
Gabriel Acosta, Thomas Apel, Ricardo G. Durá...
MOC
2011
13 years 6 days ago
A two-level enriched finite element method for a mixed problem
The simplest pair of spaces P1/P0 is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is enhance the finite element spaces inside a PetrovGalerkin ...
Alejandro Allendes, Gabriel R. Barrenechea, Erwin ...