Implicit time discretization schemes for mixed least-squares finite element formulations
From MaRDI portal
Publication:2021158
DOI10.1016/j.cma.2020.113111zbMath1506.74386OpenAlexW3032937692MaRDI QIDQ2021158
Jörg Schröder, Alexander Schwarz, Solveigh Averweg, Carina Nisters
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113111
elastodynamicsincompressible Navier-Stokes equationsfluid-structure interactionimplicit time discretization schemesmixed least-squares finite elements
Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Advances in computational fluid-structure interaction and flow simulation. New methods and challenging computations. Based on the presentations at the conference, AFSI, Tokyo, Japan, March 19--21, 2014
- Higher-order accurate implicit time integration schemes for transport problems
- Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity
- A time-adaptive fluid-structure interaction method for thermal coupling
- First-order system least squares (FOSLS) for coupled fluid-elastic problems
- A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint)
- Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
- Least-squares finite element methods
- A higher-order time integration algorithm for the simulation of nonlinear fluid-structure interaction
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- Automatic generation of finite-element code by simultaneous optimization of expressions
- An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems.
- Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
- A new formulation for air-blast fluid-structure interaction using an immersed approach. I: Basic methodology and FEM-based simulations
- A new formulation for air-blast fluid-structure interaction using an immersed approach. II: Coupling of IGA and meshfree discretizations
- Efficient stress-velocity least-squares finite element formulations for the incompressible Navier-Stokes equations
- A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations
- An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation
- A fully implicit computational strategy for strongly coupled fluid-solid interaction
- A least-squares finite element method for the Navier--Stokes equations
- Remarks on the interpretation of current non‐linear finite element analyses as differential–algebraic equations
- Numerical Simulation and Benchmarking of a Monolithic Multigrid Solver for Fluid-Structure Interaction Problems with Application to Hemodynamics
- Numerical Benchmarking of Fluid-Structure Interaction: A Comparison of Different Discretization and Solution Approaches
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Stress-Velocity Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equations
- A Monolithic FEM/Multigrid Solver for an ALE Formulation of Fluid-Structure Interaction with Applications in Biomechanics
- Proposal for Numerical Benchmarking of Fluid-Structure Interaction between an Elastic Object and Laminar Incompressible Flow
- A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
- A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes
- Least-squares finite elements for first-order hyperbolic systems
- Diagonally Implicit Runge-Kutta Formulae with Error Estimates
- Mixed and Hybrid Finite Element Methods
- A least-squares finite element method for incompressible Navier-Stokes problems
- A review of least‐squares methods for solving partial differential equations
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II
- p‐version least squares finite element formulation for two‐dimensional, incompressible, non‐Newtonian isothermal and non‐isothermal fluid flow
- First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
- Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
- Least square‐finite element for elasto‐static problems. Use of ‘reduced’ integration
- On First-order Formulations of the Least-squares Finite Element Method for Incompressible Flows
- Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
- Computational Fluid–Structure Interaction
- An efficient and stable finite element solver of higher order in space and time for nonstationary incompressible flow
- High‐order implicit time integration for unsteady incompressible flows
- Use of the least squares criterion in the finite element formulation
- Integration of Stiff Equations
- Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique.
This page was built for publication: Implicit time discretization schemes for mixed least-squares finite element formulations
