Spatio-stochastic adaptive discontinuous Galerkin methods
From MaRDI portal
Publication:2021245
DOI10.1016/j.cma.2020.113570zbMath1506.65205OpenAlexW3107824015MaRDI QIDQ2021245
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.2020.113570
error estimationdiscontinuous Galerkin methodsaerodynamicsuncertainty quantificationanisotropic adaptivitysparse polynomial chaos
Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Linearization errors in discrete goal-oriented error estimation ⋮ A flux reconstruction stochastic Galerkin scheme for hyperbolic conservation laws
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive stochastic Galerkin FEM
- Mathematical aspects of discontinuous Galerkin methods.
- Solution verification, goal-oriented adaptive methods for stochastic advection-diffusion problems
- Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis
- Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. II: A posteriori error analysis and adaptivity
- A posteriori error estimation in finite element analysis
- Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
- Estimation of modeling error in computational mechanics.
- Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs
- Goal-oriented error control of stochastic system approximations using metric-based anisotropic adaptations
- Adaptive stochastic Galerkin FEM with hierarchical tensor representations
- An optimization-based framework for anisotropic simplex mesh adaptation
- Dual-based a posteriori error estimate for stochastic finite element methods
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
- A posteriori error estimation for elliptic partial differential equations with small uncertainties
- Uncertainty Quantification for Hyperbolic Systems of Conservation Laws
- Analysis of Dual Consistency for Discontinuous Galerkin Discretizations of Source Terms
- A Posteriori Error Analysis of Stochastic Differential Equations Using Polynomial Chaos Expansions
- Polynomial Chaos in Stochastic Finite Elements
- Multilevel Monte Carlo Path Simulation
- An optimal control approach to a posteriori error estimation in finite element methods
- Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
- A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes
- Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty
- A Posteriori Error Estimation for Subgrid Flamelet Models
- Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
- Spectral Methods for Uncertainty Quantification
- Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Discontinuous Galerkin methods
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method
- Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- High‐order CFD methods: current status and perspective
- Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations
- Uncertainty propagation in CFD using polynomial chaos decomposition
- High-Order Collocation Methods for Differential Equations with Random Inputs
- The Homogeneous Chaos
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- Estimation of local model error and goal-oriented adaptive modeling of heterogeneous materials. II: A computational environment for adaptive modeling of heterogeneous elastic solids
- Goal-oriented error estimation and adaptivity for the finite element method
