Learning nonlinear reduced models from data with operator inference

B Kramer, B Peherstorfer… - Annual Review of Fluid …, 2024 - annualreviews.org
This review discusses Operator Inference, a nonintrusive reduced modeling approach that
incorporates physical governing equations by defining a structured polynomial form for the …

Modeling electrochemical impedance spectroscopy

F Ciucci - Current Opinion in Electrochemistry, 2019 - Elsevier
Electrochemical impedance spectroscopy (EIS) is a powerful technique that is used for
characterizing electrochemical systems. The EIS data can be correlated with many key …

[图书][B] Finite elements II

A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

[图书][B] Finite element methods for incompressible flow problems

V John - 2016 - Springer
Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

CFD vision 2030 study: a path to revolutionary computational aerosciences

JP Slotnick, A Khodadoust, J Alonso, D Darmofal… - 2014 - ntrs.nasa.gov
This report documents the results of a study to address the long range, strategic planning
required by NASA's Revolutionary Computational Aerosciences (RCA) program in the area …

[图书][B] The mathematical theory of finite element methods

SC Brenner - 2008 - Springer
Untitled Page 1 Page 2 15 Texts in Applied Mathematics Editors JE Marsden L. Sirovich SS
Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton Page 3 Texts in Applied …

[图书][B] Evaluating derivatives: principles and techniques of algorithmic differentiation

A Griewank, A Walther - 2008 - SIAM
The advent of high-speed computers and sophisticated software tools has made the
computation of derivatives for functions defined by evaluation programs both easier and …

[图书][B] Optimization with PDE constraints

M Hinze, R Pinnau, M Ulbrich, S Ulbrich - 2008 - books.google.com
Solving optimization problems subject to constraints given in terms of partial d-ferential
equations (PDEs) with additional constraints on the controls and/or states is one of the most …

[图书][B] Robust numerical methods for singularly perturbed differential equations

HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes

A Cangiani, EH Georgoulis… - Mathematical Models and …, 2014 - World Scientific
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …