In this paper we demonstrate a new technique for deriving discrete adjoint and tangent
linear models of a finite element model. The technique is significantly more efficient and …

Algorithmic differentiation (AD), also known as automatic differentiation, is a technology for
accurate and efficient evaluation of derivatives of a function given as a computer model. The …

Three-dimensional implementations of reverse time migration (RTM) and full-waveform
inversion (FWI) require efficient schemes to access the incident field to apply the imaging …

A generic framework for the solution of PDE-constrained optimisation problems based on
the FEniCS system is presented. Its main features are an intuitive mathematical interface, a …

We present a new software system, PETSc TSAdjoint, for first-order and second-order
adjoint sensitivity analysis of time-dependent nonlinear differential equations. The derivative …

We reexamine the work of Stumm and Walther on multistage algorithms for adjoint
computation. We provide an optimal algorithm for this problem when there are two levels of …

Adjoints are an important computational tool for large-scale sensitivity evaluation,
uncertainty quantification, and derivative-based optimization. An essential component of …

We consider checkpointing strategies that minimize the number of recomputations needed
when performing discrete adjoint computations using multistage time-stepping schemes that …

Frequently, the computation of derivatives for optimizing time-dependent problems is based
on the integration of the adjoint differential equation. For this purpose, the knowledge of the …

叠前逆时偏移等基于波场互相关原理的地球物理方法存在极大的计算与存储需求,
因此采用合适的波场重构方法显得尤为重要. 常规的随机边界法容易产生成像噪声 …