Frequency-explicit asymptotic error estimates for a stress-pressure formulation of a time harmonic fluid-solid interaction problem

DOI10.1016/j.camwa.2018.08.006zbMath1442.65386OpenAlexW2887445958WikidataQ129399662 ScholiaQ129399662MaRDI QIDQ2202983

Yanyan Li

Publication date: 1 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.006

zbMATH Keywords

mixed finite elementsolid-fluid interaction

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stress (74A10) Compressible fluids and gas dynamics (76N99)

Cites Work

• Unnamed Item
• Unnamed Item
• Two families of mixed finite elements for second order elliptic problems
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Mixed finite elements for elasticity
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem
• Reduced symmetry elements in linear elasticity
• Analysis of the Coupling of Lagrange and Arnold--Falk--Winther Finite Elements for a Fluid-Solid Interaction Problem in Three Dimensions
• Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
• Finite elements in computational electromagnetism
• Finite element exterior calculus, homological techniques, and applications
• Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem
• A new elasticity element made for enforcing weak stress symmetry
• Mixed finite element methods for linear elasticity with weakly imposed symmetry
• PEERS: A new mixed finite element for plane elasticity
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• OUP accepted manuscript
• Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. Part I: linear version
• Analyses of Mixed Continuous and Discontinuous Galerkin Methods for the tIme Harmonic Elasticity Problem with Reduced Symmetry

This page was built for publication: Frequency-explicit asymptotic error estimates for a stress-pressure formulation of a time harmonic fluid-solid interaction problem