Explicit geometric construction of \textit{sparse inverse mass matrices} for arbitrary tetrahedral grids

DOI10.1016/j.cma.2021.113699zbMath1506.65143arXiv2012.01094OpenAlexW3132000393MaRDI QIDQ2021968

Silvano Pitassi, Francesco Trevisan, Ruben Specogna

Publication date: 27 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01094

zbMATH Keywords

mimetic methodscompatible discretizationsdual griddual mimetic reconstructiongeometrically-defined inverse mass matricesinverse Hodge star operators

Mathematics Subject Classification ID

Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

Foundations of volume integral methods for eddy current problems ⋮ The \textit{curved} mimetic finite difference method: allowing grids with curved faces

Cites Work

• Base functions and discrete constitutive relations for staggered polyhedral grids
• Mimetic finite difference method
• Discrete Helmholtz-Hodge decomposition on polyhedral meshes using compatible discrete operators
• A new discretization methodology for diffusion problems on generalized polyhedral meshes
• Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes
• The mathematical structure of classical and relativistic physics. A general classification diagram
• A new set of basis functions for the discrete geometric approach
• Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
• Complementary geometric formulations for electrostatics
• Algebraic multigrid for k‐form Laplacians
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS
• Differential Forms, Galerkin Duality, and Sparse Inverse Approximations in Finite Element Solutions of Maxwell Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Explicit geometric construction of \textit{sparse inverse mass matrices} for arbitrary tetrahedral grids