Add to ORKGA multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. A multiresolution analysis of the DG spaces for the proposed adaptation strategy is presented. Numerical results show that in the case of general stochastic distributions the performance of the DG solver is significantly improved by the novel adaptive strategy. The gain in efficiency is validated in computational experiments
The study of uncertainty propagation poses a great challenge to design high fidelity numerical metho...
In this article we present an a posteriori error estimator for the spatial–stochastic error of a Gal...
In this article we present an a posteriori error estimator for the spatial–stochastic error of a Gal...
This thesis focuses on the development of adaptive multiresolution-based discontinuous Galerkin sche...
This thesis focuses on the development of adaptive multiresolution-based discontinuous Galerkin sche...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
On considère des méthodes de Galerkin stochastiques pour des systèmes hyperboliques faisant interven...
AbstractWe propose a modified adaptive multiresolution scheme for solving d-dimensional hyperbolic c...
This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discon...
85 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.The basic SDG approximation is...
85 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.The basic SDG approximation is...
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discon...
In this paper, we present a collection of algorithmic tools for constraining high-order discontinuou...
In the present work, an innovative method for solving stochastic partial differential equations is p...
The study of uncertainty propagation poses a great challenge to design high fidelity numerical metho...
In this article we present an a posteriori error estimator for the spatial–stochastic error of a Gal...
In this article we present an a posteriori error estimator for the spatial–stochastic error of a Gal...
This thesis focuses on the development of adaptive multiresolution-based discontinuous Galerkin sche...
This thesis focuses on the development of adaptive multiresolution-based discontinuous Galerkin sche...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
This work is concerned with stochastic Galerkin methods for hyperbolic systems involving uncertain d...
On considère des méthodes de Galerkin stochastiques pour des systèmes hyperboliques faisant interven...
AbstractWe propose a modified adaptive multiresolution scheme for solving d-dimensional hyperbolic c...
This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discon...
85 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.The basic SDG approximation is...
85 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.The basic SDG approximation is...
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discon...
In this paper, we present a collection of algorithmic tools for constraining high-order discontinuou...
In the present work, an innovative method for solving stochastic partial differential equations is p...
The study of uncertainty propagation poses a great challenge to design high fidelity numerical metho...
In this article we present an a posteriori error estimator for the spatial–stochastic error of a Gal...
In this article we present an a posteriori error estimator for the spatial–stochastic error of a Gal...