Discrete maximum principle for a space-time least squares formulation of the transport equation with finite element.
type: Dataset
description: Finite element methods are known to produce spurious oscillations when the transport equation is solved. In this paper, a variational formulation for the transport equation is proposed, and by introducing a positivity constraint combined with a penalization of the total variation of the solution, a discrete maximum principle is verified for lagrange first order finite element methods. Moreover, the oscillations are cancelled.
issued: 2026-05-10T16:22:52.580962
language: en
modified: 2026-05-10T16:22:52.580966
contact point: Organization
  fn: CCSD
keyword: 65j1065j1565j20
keyword: dicrete-maximum-principle
keyword: infoeu-reposemanticsreport
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: penalized-total-variation
keyword: reports
keyword: variational-formulation-for-the-transport-equation
landing page: https://hal.science/hal-00835513

Discrete maximum principle for a space-time least squares formulation of the transport equation with finite element.
type: Distribution
format: HTML
issued: 2026-05-10T16:22:52.590804
modified: 2026-05-10T16:22:52.569763
access URL: https://hal.science/hal-00835513

test_moissonnage_selune
type: Agent