no code implementations • 14 Jan 2020 • Ilona Ambartsumyan, Eldar Khattatov, Ivan Yotov
We present a mixed finite element method for a five-field formulation of the Biot system of poroelasticity that reduces to a cell-centered pressure-displacement system on simplicial and quadrilateral grids.
Numerical Analysis Numerical Analysis
1 code implementation • 2 Nov 2018 • Ilona Ambartsumyan, Eldar Khattatov, Jan M. Nordbotten, Ivan Yotov
The method utilizes the lowest order Brezzi-Douglas-Marini finite element spaces for the stress and the trapezoidal quadrature rule in order to localize the interaction of degrees of freedom, which allows for local stress elimination around each vertex.
Numerical Analysis Numerical Analysis
1 code implementation • 18 Oct 2017 • Ilona Ambartsumyan, Eldar Khattatov, Jeonghun Lee, Ivan Yotov
The methods are based on a new family of mixed finite elements, which are enhanced Raviart-Thomas spaces with bubbles that are curls of specially chosen polynomials.
Numerical Analysis 65N08, 65N12, 65N15, 65N30, 76S05
