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6 papers
Use of algebraic dual representations in domain decomposition methods for Darcy flow in 3D domain
V. Jain, A. Palha, M. Gerritsma
In this work we use algebraic dual representations in conjunction with domain decomposition methods for Darcy equations. We define the broken Sobolev spaces and their finite dimens…
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…
On the geometry of lightlike submanifolds of indefinite statistical manifolds
Varun Jain, Amrinder Pal Singh, Rakesh Kumar
We study lightlike submanifolds of indefinite statistical manifolds. Contrary to the classical theory of submanifolds of statistical manifolds, lightlike submanifolds of indefinite…
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…