[BOOK][B] Numerical models for differential problems

A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

Learning physics-based models from data: perspectives from inverse problems and model reduction

O Ghattas, K Willcox - Acta Numerica, 2021 - cambridge.org
This article addresses the inference of physics models from data, from the perspectives of
inverse problems and model reduction. These fields develop formulations that integrate data …

Ot-flow: Fast and accurate continuous normalizing flows via optimal transport

D Onken, SW Fung, X Li, L Ruthotto - Proceedings of the AAAI …, 2021 - ojs.aaai.org
A normalizing flow is an invertible map** between an arbitrary probability distribution and
a standard normal distribution; it can be used for density estimation and statistical inference …

A high-order discontinuous Galerkin method for wave propagation through coupled elastic–acoustic media

LC Wilcox, G Stadler, C Burstedde, O Ghattas - Journal of computational …, 2010 - Elsevier
We introduce a high-order discontinuous Galerkin (dG) scheme for the numerical solution of
three-dimensional (3D) wave propagation problems in coupled elastic–acoustic media. A …

Optimal solvers for PDE-constrained optimization

T Rees, HS Dollar, AJ Wathen - SIAM Journal on Scientific Computing, 2010 - SIAM
Optimization problems with constraints which require the solution of a partial differential
equation arise widely in many areas of the sciences and engineering, particularly in …

Optimal control of the convection-diffusion equation using stabilized finite element methods

R Becker, B Vexler - Numerische Mathematik, 2007 - Springer
In this paper we analyze the discretization of optimal control problems governed by
convection-diffusion equations which are subject to pointwise control constraints. We …

[HTML][HTML] Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

F Negri, A Manzoni, G Rozza - Computers & Mathematics with Applications, 2015 - Elsevier
This paper extends the reduced basis method for the solution of parametrized optimal
control problems presented in Negri et al.(2013) to the case of noncoercive (elliptic) …

Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG

JN Shadid, RP Pawlowski, EC Cyr, RS Tuminaro… - Computer Methods in …, 2016 - Elsevier
The computational solution of the governing balance equations for mass, momentum, heat
transfer and magnetic induction for resistive magnetohydrodynamics (MHD) systems can be …

Finite elements with local projection stabilization for incompressible flow problems

M Braack, G Lube - Journal of Computational Mathematics, 2009 - JSTOR
In this paper we review recent developments in the analysis of finite element methods for
incompressible flow problems with local projection stabilization (LPS). These methods …

An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method

J Lu - 2005 - dspace.mit.edu
Introduction: Aerodynamic design optimization has seen significant development over the
past decade. Adjoint-based shape design for elliptic systems was first proposed by …