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20082021
most citedRegularization of systems of nonlinear ill-posed equations: I. Convergence Analysis

105 citations · 736 across the 32 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.NA2021★ 24 cited

On level set type methods for elliptic Cauchy problems

A. Leitao, M. Marques Alves

Two methods of level set type are proposed for solving the Cauchy problem for an elliptic equation. Convergence and stability results for both methods are proven, characterizing th…

math.OC2021★ 85 cited

On the value function for nonautonomous optimal control problems with infinite horizon

J. Baumeister, A. Leitao, G. N. Silva

In this paper we consider nonautonomous optimal control problems of infinite horizon type, whose control actions are given by -functions. We verify that the value function is…

math.OC2021★ 3 cited

Regularization by dynamic programming

S. Kindermann, A. Leitao

We investigate continuous regularization methods for linear inverse problems of static and dynamic type. These methods are based on dynamic programming approaches for linear quadra…

math.NA2021★ 9 cited

On regularization methods based on dynamic programming techniques

S. Kindermann, A. Leitao

In this article we investigate the connection between regularization theory for inverse problems and dynamic programming theory. This is done by developing two new regularization m…

math.NA2021★ 15 cited

On regularization methods for inverse problems of dynamic type

S. Kindermann, A. Leitao

In this paper we consider new regularization methods for linear inverse problems of dynamic type. These methods are based on dynamic programming techniques for linear quadratic opt…

math.AP2021★ 5 cited

Semiconductors and Dirichlet-to-Neumann maps

A. Leitao

We investigate the problem of identifying discontinuous doping profiles in semiconductor devices from data obtained by the stationary voltage-current (VC) map. The related inverse…