5 Result(s)
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Article
Max Gunzburger
Computational Mathematics and Numerical Analysis
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Article
A Multifidelity Monte Carlo Method for Realistic Computational Budgets
A method for the multifidelity Monte Carlo (MFMC) estimation of statistical quantities is proposed which is applicable to computational budgets of any size. Based on a sequence of optimization problems each wi...
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Article
An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs
It is shown that the computational efficiency of the discrete least-squares (DLS) approximation of solutions of stochastic elliptic PDEs is improved by incorporating a reduced-basis method into the DLS framewo...
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Article
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains
Approximations of solutions of fractional Laplacian equations on bounded domains are considered. Such equations allow global interactions between points separated by arbitrarily large distances. Two approximat...
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Article
Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence
Fluid turbulence is commonly modeled by the Navier-Stokes equations with a large Reynolds number. However, direct numerical simulations are not possible in practice, so that turbulence modeling is introduced. ...
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Article
Error analysis of finite element approximations of the stochastic Stokes equations
Numerical solutions of the stochastic Stokes equations driven by white noise perturbed forcing terms using finite element methods are considered. The discretization of the white noise and finite element approx...
