On the positivity of the discrete Green's function for unstructured finite element discretizations in three dimensions

DOI10.1007/s10092-023-00556-yarXiv2303.15271OpenAlexW4390111410MaRDI QIDQ6142549

Andrew P. Miller

Publication date: 26 January 2024

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.15271

zbMATH Keywords

finite element methodGreen's functionselliptic equationsnumerical analysis

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) Numerical approximation of high-dimensional functions; sparse grids (65D40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discrete/continuous elliptic Harnack inequality and kernel estimates for functions of the Laplacian on a graph
• Harnack inequalities in infinite dimensions
• Regularity results for discrete solutions of second order elliptic problems in the finite element method
• On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements
• On Harnack's theorem for elliptic differential equations
• Variational bounds on the entries of the inverse of a matrix
• Interior Maximum Norm Estimates for Finite Element Methods
• Local error estimates of the finite element method for an elliptic problem with a Dirac source term
• Failure of the discrete maximum principle for an elliptic finite element problem
• Estimates for Differences and Harnack Inequality for Difference Operators Coming From Random Walks with Symmetric, Spatially Inhomogeneous, Increments
• The Mathematical Theory of Finite Element Methods

This page was built for publication: On the positivity of the discrete Green's function for unstructured finite element discretizations in three dimensions