Mixed Mimetic Spectral Element Method Applied to Darcy’s Problem

DOI10.1007/978-3-319-01601-6_30zbMath1426.76512arXiv1304.7147OpenAlexW2161403511MaRDI QIDQ5745800

Pedro Pinto Rebelo, Artur Palha, M. I. Gerritsma

Publication date: 31 January 2014

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7147

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items (5)

A mimetic spectral element solver for the Grad-Shafranov equation ⋮ Finite-difference schemes for anisotropic diffusion ⋮ A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations ⋮ The Geometric Basis of Numerical Methods ⋮ High Order Methods with Exact Conservation Properties

Cites Work

• Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
• The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
• A stabilized mixed finite element method for Darcy flow
• Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
• A Conservative Spectral Element Method for Curvilinear Domains
• Edge Functions for Spectral Element Methods
• Finite element exterior calculus: from Hodge theory to numerical stability
• Mimetic finite differences for elliptic problems
• The Geometric Basis of Numerical Methods
• High Order Methods with Exact Conservation Properties
• Higher-Order Compatible Discretization on Hexahedrals
• Mimetic Spectral Element Advection
• A Geometric Approach Towards Momentum Conservation
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