6 citations · 19 across the 14 of their papers we have counts for
9 papers · 1 filter
A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions
Yi Zhang, Artur Palha, Marc Gerritsma +1
In this work, we introduce a mass, energy, enstrophy and vorticity conserving (MEEVC) mixed finite element discretization for two-dimensional incompressible Navier-Stokes equations…
Comparison of Numerical Solvers for Differential Equations for Holonomic Gradient Method in Statistics
Nobuki Takayama, Takaharu Yaguchi, Yi Zhang
Definite integrals with parameters of holonomic functions satisfy holonomic systems of linear partial differential equations. When we restrict parameters to a one dimensional curve…
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains
Yi Zhang, Artur Palha, Marc Gerritsma +1
We introduce a mimetic dual-field discretization which conserves mass, kinetic energy and helicity for three-dimensional incompressible Navier-Stokes equations. The discretization…
A conservative hybrid method for Darcy flow
Varun Jain, Yi Zhang, Joël Fisser +2
We present a hybrid mimetic spectral element formulation for Darcy flow. The discrete representations for 1) conservation of mass, and 2) inter-element continuity, are topological…
Fully Discrete Mixed Finite Element Methods for the Stochastic Cahn-Hilliard Equation with Gradient-type Multiplicative Noise
Xiaobing Feng, Yukun Li, Yi Zhang
This paper develops and analyzes some fully discrete mixed finite element methods for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise that is white in…
Strong convergence of a fully discrete finite element method for a class of semilinear stochastic partial differential equations with multiplicative noise
Xiaobing Feng, Yukun Li, Yi Zhang
This paper develops and analyzes a fully discrete finite element method for a class of semilinear stochastic partial differential equations (SPDEs) with multiplicative noise. The n…
Algebraic dual polynomials for the equivalence of curl-curl problems
Marc Gerritsma, Varun Jain, Yi Zhang +1
In this paper we will consider two curl-curl equation in two dimensions. One curl-curl problem for a scalar quantity and one problem for a vector field . For Dirichlet…
Mimetic Spectral Element Method for Anisotropic Diffusion
Marc Gerritsma, Artur Palha, Varun Jain +1
This paper addresses the topological structure of steady, anisotropic, inhomogeneous diffusion problems. Two discrete formulations: a) mixed and b) direct formulations are discusse…
Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes
Varun Jain, Yi Zhang, Artur Palha +1
Given a sequence of finite element spaces which form a de Rham sequence, we will construct a dual representation of these spaces with associated differential operators which connec…