A stabilized finite element method for stochastic incompressible Navier–Stokes equations
DOI10.1080/00207160.2012.696620zbMath1264.76059OpenAlexW2016342571MaRDI QIDQ4902866
Mohammed Seaid, Mostafa Zahri, Mofdi El-Amrani
Publication date: 18 January 2013
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2012.696620
finite element methodmodified method of characteristicsstochastic Navier-Stokes equationsstochastic simulationpolynomial chaosconjugate-gradient algorithm
Processes with independent increments; Lévy processes (60G51) Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial-boundary value problems for first-order hyperbolic equations (35L04)
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Cites Work
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- A Newton method for the resolution of steady stochastic Navier-Stokes equations
- A spectral stochastic semi-Lagrangian method for convection-diffusion equations with uncertainty
- 2D backward stochastic Navier-Stokes equations with nonlinear forcing
- Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
- Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
- A stochastic variational multiscale method for diffusion in heterogeneous random media
- Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
- Numerical simulation of randomly forced turbulent flows
- Sparse finite elements for elliptic problems with stochastic loading
- A multigrid solver for two-dimensional stochastic diffusion equations.
- Spectral polynomial chaos solutions of the stochastic advection equation
- Finite elements for elliptic problems with stochastic coefficients
- Probabilistic characterization of transport in heterogeneous media
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- A stochastic projection method for fluid flow. II: Random process
- On solving elliptic stochastic partial differential equations
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- Ingredients for a general purpose stochastic finite elements implementation
- The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
- Numerical simulation of natural and mixed convection flows by Galerkin-characteristic method
- Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder
- Spectral Methods for Uncertainty Quantification
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- A Spectral Method of Characteristics for Hyperbolic Problems
- Statistical theory for the stochastic Burgers equation in the inviscid limit
- h‐adaptive finite element solution of high Rayleigh number thermally driven cavity problem
- A Comparative Study on Uncertainty Quantification for Flow in Randomly Heterogeneous Media Using Monte Carlo Simulations and Conventional and KL-Based Moment-Equation Approaches
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- Gaussian fields and random flow
- Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- An explicit finite element algorithm for convection heat transfer problems
- On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate
- The Homogeneous Chaos
- A stochastic projection method for fluid flow. I: Basic formulation
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