Publications related to Discretization error

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Discretization methods such as finite differences or finite elements were usually employed to provide high fidelity solution approximations for reduced order modeling of parameterized partial differential equations. In this paper, a novel discretization te ...

Edp Sciences S A2017

A Modulated-Gradient Parametrization for the Large-Eddy Simulation of the Atmospheric Boundary Layer Using the Weather Research and Forecasting Model

Fernando Porté Agel, Sina Khani

The performance of the modulated-gradient subgrid-scale (SGS) model is investigated using large-eddy simulation (LES) of the neutral atmospheric boundary layer within the weather research and forecasting model. Since the model includes a finite-difference ...

Springer2017

What's the Frequency, Kenneth?: Sublinear Fourier Sampling Off the Grid

Volkan Cevher, Yen-Huan Li

We design a sublinear Fourier sampling algorithm for a case of sparse off-grid frequency recovery. These are signals with the form ; i.e., exponential polynomials with a noise term. The frequencies satisfy and for some . We design a sublinear time randomiz ...

Springer Verlag2015

Analysis of linearization error for goal-oriented adaptivity of nonlinear problems

Luca Dede'

We propose in this talk to address the issue and effect of linearization in the quality of the error estimates in quantities of interest for strongly nonlinear problems. It is well known that the error representation in this case can be decomposed into two ...

International Center for Numerical Methods in Engineering (CIMNE)2013

Bioclogging in porous media: Model development and sensitivity to initial conditions

David Andrew Barry, Alessandro Brovelli, Flavio Malaguerra

This work presents a numerical model able to simulate the effect of biomass growth on the hydraulic properties of saturated porous media, i.e., bioclogging. A new module for an existing coupled flow and reactive-transport code -- PHWAT -- was implemented. ...

2009

An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem

Marco Picasso, Virabouth Prachittham

In this paper we derive two a posteriori upper bounds for the heat equation. A continuous, piecewise linear finite element discretization in space and the Crank-Nicolson method for the time discretization are used. The error due to the space discretization ...

2009

Numerical approximation of a control problem for advection-diffusion processes

Alfio Quarteroni, Gianluigi Rozza, Luca Dede', Annalisa Quaini

Two different approaches are proposed to enhance the efficiency of the numerical resolution of optimal control problems governed by a linear advection-diffusion equation. In the framework of the Galerkin-Finite Element (FE) method, we adopt a novel a poste ...

Springer2006

Optimal control and numerical adaptivity for advection-diffusion equations

Alfio Quarteroni, Luca Dede'

We propose a general approach for the numerical approximation of optimal control problems governed by a linear advection–diffusion equation, based on a stabilization method applied to the Lagrangian functional, rather than stabilizing the state and adjoint ...

EDP Sciences2005

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Discretization error

Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

Verification and validation procedures with applications to plasma-edge turbulence simulations

A Modulated-Gradient Parametrization for the Large-Eddy Simulation of the Atmospheric Boundary Layer Using the Weather Research and Forecasting Model

What's the Frequency, Kenneth?: Sublinear Fourier Sampling Off the Grid

Analysis of linearization error for goal-oriented adaptivity of nonlinear problems

Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation

Bioclogging in porous media: Model development and sensitivity to initial conditions

An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem

Numerical approximation of a control problem for advection-diffusion processes

Optimal control and numerical adaptivity for advection-diffusion equations

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Isogeometric Analysis And Proper Orthogonal Decomposition For The Acoustic Wave Equation

A Modulated-Gradient Parametrization for the Large-Eddy Simulation of the Atmospheric Boundary Layer Using the Weather Research and Forecasting Model

Verification and validation procedures with applications to plasma-edge turbulence simulations

Analysis of linearization error for goal-oriented adaptivity of nonlinear problems

Numerical Study Of An Anisotropic Error Estimator In The L-2(H-1) Norm For The Finite Element Discretization Of The Wave Equation

Numerical approximation of a control problem for advection-diffusion processes

Bioclogging in porous media: Model development and sensitivity to initial conditions

An Anisotropic Error Estimator For The Crank-Nicolson Method: Application To A Parabolic Problem

Optimal control and numerical adaptivity for advection-diffusion equations

What's the Frequency, Kenneth?: Sublinear Fourier Sampling Off the Grid