[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 …

Adaptive space-time finite element methods for parabolic optimization problems

D Meidner, B Vexler - SIAM Journal on Control and Optimization, 2007 - SIAM
In this paper we derive a posteriori error estimates for space-time finite element
discretizations of parabolic optimization problems. The provided error estimates assess the …

Few-shot backdoor attacks via neural tangent kernels

J Hayase, S Oh - arXiv preprint arXiv:2210.05929, 2022 - arxiv.org
In a backdoor attack, an attacker injects corrupted examples into the training set. The goal of
the attacker is to cause the final trained model to predict the attacker's desired target label …

Topology optimization of metallic antennas

E Hassan, E Wadbro… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
We introduce an approach to carry out layout optimization of metallic antenna parts. An
optimization technique first developed for the optimization of load-bearing elastic structures …

Topology optimization of viscoelastic structures using a time-dependent adjoint method

KA James, H Waisman - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
We present a mathematical framework for producing optimal designs of structures that
exhibit viscoelastic creep deformation. Using a linear viscoelastic finite element model, we …

Efficient numerical solution of parabolic optimization problems by finite element methods

R Becker, D Meidner, B Vexler - Optimisation Methods and …, 2007 - Taylor & Francis
We present an approach for efficient numerical solution of optimization problems governed
by parabolic partial differential equations. The main ingredients are: space-time finite …

Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow

M Besier, R Rannacher - International Journal for Numerical …, 2012 - Wiley Online Library
This paper presents a general strategy for designing adaptive space–time finite element
discretizations of the nonstationary Navier–Stokes equations. The underlying framework is …

[图书][B] Combinatorial scientific computing

U Naumann, O Schenk - 2012 - api.taylorfrancis.com
Combinatorial techniques have become essential tools across the landscape of
computational science, and some of the combinatorial ideas undergirding these tools are …

Wavefield compression for adjoint methods in full-waveform inversion

C Boehm, M Hanzich, J De la Puente, A Fichtner - Geophysics, 2016 - library.seg.org
Adjoint methods are a key ingredient of gradient-based full-waveform inversion schemes.
While being conceptually elegant, they face the challenge of massive memory requirements …

Differentiable Programming for Differential Equations: A Review

F Sapienza, J Bolibar, F Schäfer, B Groenke… - arXiv preprint arXiv …, 2024 - arxiv.org
The differentiable programming paradigm is a cornerstone of modern scientific computing. It
refers to numerical methods for computing the gradient of a numerical model's output. Many …