T-coercivity: application to the discretization of Helmholtz-like problems
type: Distribution
access URL: https://hal.science/hal-00664575
format: HTML
issued: 2026-05-25T07:53:14.529308
modified: 2026-05-25T07:53:14.448462

T-coercivity: application to the discretization of Helmholtz-like problems
type: Dataset
contact point: Organization
  fn: CCSD
keyword: journal-articles
keyword: infoeu-reposemanticsarticle
keyword: helmholtz-like-problems
keyword: inf-sup-condition
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: t-coercivity
landing page: 0898-1221
description: To solve variational indefinite problems, a celebrated tool is the Banach-Nečas- Babuška theory, which relies on the inf-sup condition. Here, we choose an alternate theory, T-coercivity. This theory relies on explicit inf-sup operators, both at the continuous and discrete levels. It is applied to solve Helmholtz-like problems in acoustics and electromagnetics. We provide simple proofs to solve the exact and discrete problems, and to show convergence under fairly general assumptions. We also establish sharp estimates on the convergence rates.
issued: 2026-05-25T07:53:14.472157
language: en
modified: 2026-05-25T07:53:14.472164

test_moissonnage_selune
type: Agent