[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 …
computation of derivatives for functions defined by evaluation programs both easier and …
Adaptive space-time finite element methods for parabolic optimization problems
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 …
discretizations of parabolic optimization problems. The provided error estimates assess the …
Few-shot backdoor attacks via neural tangent kernels
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 …
the attacker is to cause the final trained model to predict the attacker's desired target label …
Topology optimization of metallic antennas
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 …
optimization technique first developed for the optimization of load-bearing elastic structures …
Topology optimization of viscoelastic structures using a time-dependent adjoint method
We present a mathematical framework for producing optimal designs of structures that
exhibit viscoelastic creep deformation. Using a linear viscoelastic finite element model, we …
exhibit viscoelastic creep deformation. Using a linear viscoelastic finite element model, we …
Efficient numerical solution of parabolic optimization problems by finite element methods
We present an approach for efficient numerical solution of optimization problems governed
by parabolic partial differential equations. The main ingredients are: space-time finite …
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 …
discretizations of the nonstationary Navier–Stokes equations. The underlying framework is …
Wavefield compression for adjoint methods in full-waveform inversion
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 …
While being conceptually elegant, they face the challenge of massive memory requirements …
Differentiable Programming for Differential Equations: A Review
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 …
refers to numerical methods for computing the gradient of a numerical model's output. Many …