We propose an improved adjoint-based method for the reconstruction and prediction of nonlinear wave field from coarse-resolution measurement data. adopt data assimilation framework using adjoint equation to search optimal initial match simulation result at later times with given Compared conventional approach where optimised surface elevation velocity potential are independent each other, our f...

The paper recalls the concept of duality in Mathematics and extends it to Solid Mechanics. One important application of duality is to restore some symmetry between current fields and their adjoint ones. This leads to many alternative schemes for numerical analyses, different from the classical one as used in classical formulation of boundary value problems (Finite Element Method). Usually, Cons...

Forward and reverse modes of algorithmic differentiation (AD) transform implementations of multivariate vector functions F : IR → IR as computer programs into tangent and adjoint code, respectively. The adjoint mode is of particular interest in large-scale functions due to the independence of its computational cost on the number of free variables. The additional memory requirement for the compu...

This paper presents an adjoint method for the calculation of remote sensitivities in supersonic flow. The goal is to develop a set of discrete adjoint equations and their corresponding boundary conditions in order to quantify the influence of geometry modifications on the pressure distribution at an arbitrary location within the domain of interest. First, this paper presents the complete formul...

The importance of good estimates of the defect in the numerical solution of initial value problem ordinary differential equations is considered in the context of global error estimation by using adjoint-equation based methods. In the case of solvers based on the fixed leading coefficient backward differentiation formulae, the quality of defect estimates is shown to play a major role in the reli...

This paper tests a methodology for tsunami waveform inversion, based on the adjoint method. The method is designed to perform the direct optimization of the tsunami fault parameters, from tide-gauge data, imposing strong geophysical constrains to the inverted solutions, leading to a substantial enhancement of the signal-to-noise ratio, when compared with the classical technique based on Green’s...