Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems
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Publication:6500196
DOI10.1007/S10915-024-02539-9MaRDI QIDQ6500196
Tiangang Cui, Hans De Sterck, Unnamed Author, Robert Scheichl, Alexander D. Gilbert
Publication date: 10 May 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Probabilistic methods, stochastic differential equations (65Cxx)
Cites Work
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- Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients
- Adaptive finite element methods for computing band gaps in photonic crystals
- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
- Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions
- Application of quasi-Monte Carlo methods to elliptic PDEs with random diffusion coefficients: a survey of analysis and implementation
- Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
- An adaptive homotopy approach for non-selfadjoint eigenvalue problems
- Stability of the SUPG finite element method for transient advection-diffusion problems
- On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I, II
- Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
- On the definition of the SUPG parameter
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
- Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- An efficient method for band structure calculations in 3D photonic crystals
- A simple subgrid scale stabilized method for the advection-diffusion-reaction equation
- An unusual stabilized finite element method for a generalized Stokes problem
- Planewave expansion methods for photonic crystal fibres
- Higher order quasi-Monte Carlo integration for Bayesian PDE inversion
- Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients
- A robust Petrov-Galerkin discretisation of convection-diffusion equations
- Adaptivity and variational stabilization for convection-diffusion equations
- Multilevel Monte Carlo Methods
- Multigrid Methods for Nearly Singular Linear Equations and Eigenvalue Problems
- Scalar diffusion in simulated helical turbulence with molecular diffusivity
- Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
- Multilevel Monte Carlo Path Simulation
- Steady-state convection-diffusion problems
- Direct Methods for Sparse Linear Systems
- On the Complexity of Sparse $QR$ and $LU$ Factorization of Finite-Element Matrices
- Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem
- An Arnoldi code for computing selected eigenvalues of sparse, real, unsymmetric matrices
- ARPACK Users' Guide
- $hp$-Multilevel Monte Carlo Methods for Uncertainty Quantification of Compressible Navier--Stokes Equations
- Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems
- Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems
- High-dimensional integration: The quasi-Monte Carlo way
- Constructing Embedded Lattice Rules for Multivariate Integration
- Diffusion by a Random Velocity Field
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
- Iterative procedures related to relaxation methods for eigenvalue problems
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