Finite Element Analysis in Fluid Mechanics
DOI10.1007/978-3-030-31339-5_18zbMath1453.65342OpenAlexW3085709301MaRDI QIDQ3295042
Anastasios Raptis, Konstantina Kyriakoudi, Michail A. Xenos
Publication date: 30 June 2020
Published in: Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-31339-5_18
Navier-Stokes equationsdiscontinuous Galerkin methodRunge-Kutta methodStokes problemfinite element analysis
Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Uses Software
Cites Work
- Unnamed Item
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- An efficient two-step algorithm for the incompressible flow problem
- A matrix-form GSM-CFD solver for incompressible fluids and its application to hemodynamics
- A high order Discontinuous Galerkin Finite Element solver for the incompressible Navier-Stokes equations
- A posteriori error estimates for mixed finite element approximations of parabolic problems
- A stabilized mixed finite element method for the incompressible shear-rate dependent non-Newtonian fluids: variational multiscale framework and consistent linearization
- Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains
- A variational multiscale method for incompressible turbulent flows: bubble functions and fine scale fields
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Stability of the SUPG finite element method for transient advection-diffusion problems
- A multiscale/stabilized finite element method for the advection-diffusion equation
- A hybrid reconstructed discontinuous Galerkin and continuous Galerkin finite element method for incompressible flows on unstructured grids
- Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
- A stabilized finite element method using a discontinuous level set approach for solving two phase incompressible flows
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- A variational multiscale stabilized formulation for the incompressible Navier-Stokes equations
- A stable finite element for the Stokes equations
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- High-order splitting methods for the incompressible Navier-Stokes equations
- A relationship between stabilized finite element methods and the Galerkin method with bubble functions
- Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
- Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements
- Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
- The variational multiscale method -- a paradigm for computational mechanics
- Finite element analysis for composite structures
- Bubble functions prompt unusual stabilized finite element methods.
- An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation
- An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations
- On the finite element approximation for non-stationary saddle-point problems
- Implicit-explicit multistep methods for quasilinear parabolic equations
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection-diffusion problems
- Revisiting stabilized finite element methods for the advective-diffusive equation
- A multiscale finite element method for the incompressible Navier-Stokes equations
- An overview of projection methods for incompressible flows
- A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
- An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation
- Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
- A stabilized mixed finite element method for shear-rate dependent non-Newtonian fluids: 3D benchmark problems and application to blood flow in bifurcating arteries
- A space-time formulation for multiscale phenomena
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Robusta posteriorierror estimates for HDG method for convection–diffusion equations
- A staggered discontinuous Galerkin method for the convection–diffusion equation
- Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems
- A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations
- A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- A stabilized formulation for the advection-diffusion equation using the Generalized Finite Element Method
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- The Characteristic-Based Split (CBS) scheme—a unified approach to fluid dynamics
- New directions and challenging computations in fluid dynamics modeling with stabilized and multiscale methods
- A stabilized mixed finite element method for the first‐order form of advection–diffusion equation
- A gradient smoothing method (GSM) for fluid dynamics problems
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
- Theory of adaptive finite element methods: An introduction
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Stabilized Finite Element Formulations for Incompressible Flow Computations
- Mixed and Hybrid Finite Element Methods
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
- A discontinuous Galerkin method for the Navier-Stokes equations
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- High-Order Methods for Incompressible Fluid Flow
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- A posteriori analysis of the finite element discretization of some parabolic equations
- Computational Fluid–Structure Interaction
- Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh
- The characteristic-based-split procedure: an efficient and accurate algorithm for fluid problems
- An analysis of HDG methods for convection-dominated diffusion problems
- A posteriorierror analysis of the fully discretized time-dependent Stokes equations
- A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems
- Optimal Discontinuous Galerkin Methods for Wave Propagation
- Robust a-posteriori estimator for advection-diffusion-reaction problems
- A posteriori estimates for approximations of time-dependent Stokes equations
- Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
- Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations
- Galerkin Finite Element Methods for Parabolic Problems
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