activity
20122022
most citedStability estimates for the fault inverse problem

7 citations · 15 across the 12 of their papers we have counts for

collaborators

13 papers

math.AP2022

On the crack inverse problem for pressure waves in half-space

Darko Volkov

After formulating the pressure wave equation in half-space minus a crack with a zero Neumann condition on the top plane, we introduce a related inverse problem. That inverse proble…

math.NA2022

Stability properties for a class of inverse problems

Darko Volkov

We establish Lipschitz stability properties for a class of inverse problems. In that class, the associated direct problem is formulated by an integral operator Am depending non-lin…

math.NA2020

A stochastic algorithm for fault inverse problems in elastic half space with proof of convergence

Darko Volkov

A general stochastic algorithm for solving mixed linear and nonlinear problems was introduced in [11]. We show in this paper how it can be used to solve the fault inverse problem,…

math.AP2020★ 3 cited

Stability properties of a crack inverse problem in half space

Darko Volkov, Yulong Jiang

We show in this paper a Lipschitz stability result for a crack inverse problem in half space. The direct problem is a Laplace equation with zero Neumann condition on the top bounda…

math.NA2020★ 1 cited

A parallel sampling algorithm for inverse problems with linear and nonlinear unknowns

Darko Volkov

We derive a parallel sampling algorithm for computational inverse problems that present an unknown linear forcing term and a vector of nonlinear parameters to be recovered. It is a…

math.NA2019

Stochastic solutions to mixed linear and nonlinear inverse problems

Darko Volkov

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that t…