A sparse grid stochastic collocation upwind finite volume element method for the constrained optimal control problem governed by random convection diffusion equations
DOI10.1007/s10915-018-0713-yzbMath1407.65253OpenAlexW2800945246WikidataQ129911850 ScholiaQ129911850MaRDI QIDQ1632275
Yanzhen Chang, Lianhai Wang, Liang Ge
Publication date: 13 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0713-y
optimal control problema priori error estimatessparse grid stochastic collocation (SGSC)upwind finite volume element (UFVE)
Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) PDEs with randomness, stochastic partial differential equations (35R60) Existence theories for optimal control problems involving partial differential equations (49J20) Finite volume methods for boundary value problems involving PDEs (65N08)
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- A priori error estimate of stochastic Galerkin method for optimal control problem governed by stochastic elliptic PDE with constrained control
- The upwind finite volume element method for two-dimensional Burgers equation
- Optimal control with stochastic PDE constraints and uncertain controls
- Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs
- A method for numerical integration on an automatic computer
- Explicit cost bounds of algorithms for multivariate tensor product problems
- Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation
- Inelastic deformation processes with random parameters -- methods of analysis and design.
- High dimensional polynomial interpolation on sparse grids
- A Posteriori Error Estimates for Convex Boundary Control Problems
- ERROR ESTIMATES IN THE APPROXIMATION OF OPTIMIZATION PROBLEMS GOVERNED BY NONLINEAR OPERATORS
- Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations
- Error Estimates of Stochastic Optimal Neumann Boundary Control Problems
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- Finite Element Approximations of an Optimal Control Problem with Integral State Constraint
- High-Order Collocation Methods for Differential Equations with Random Inputs
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- Stochastic differential equations. An introduction with applications.
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