21 citations · 39 across the 3 of their papers we have counts for
3 papers
math.NA2018★ 21 cited
An energy-stable mixed formulation for isogeometric analysis of incompressible hyper-elastodynamics
Ju Liu, Alison L. Marsden, Zhen Tao
We develop a mixed formulation for incompressible hyper-elastodynamics based on a continuum modeling framework recently developed and smooth generalizations of the Taylor-Hood elem…
math.NA2018★ 1 cited
A Direct Mixed-Enriched Galerkin Method on Quadrilaterals for Two-phase Darcy Flow
Todd Arbogast, Zhen Tao
We develop a locally conservative, finite element method for simulation of two-phase flow on quadrilateral meshes that minimize the number of degrees of freedom (DoFs) subject to a…
math.NA2018★ 17 cited
Construction of -Conforming Mixed Finite Elements on Cuboidal Hexahedra
Todd Arbogast, Zhen Tao
We generalize the two dimensional mixed finite elements of Arbogast and Correa [T. Arbogast and M. R. Correa, SIAM J. Numer. Anal., 54 (2016), pp. 3332--3356] defined on quadrilate…