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20182020
most citedA Finite Element Approach for the Dual Rudin--Osher--Fatemi Model and Its Nonoverlapping Domain Decomposition Methods

18 citations · 44 across the 5 of their papers we have counts for

collaborators

6 papers

math.NA2020

Correction to: A dual iterative substructuring method with a small penalty parameter

Chang-Ock Lee, Eun-Hee Park, Jongho Park

In this corrigendum, we offer a correction to [J. Korean. Math. Soc., 54 (2017), pp. 461--477]. We construct a counterexample for the strengthened Cauchy--Schwarz inequality used i…

math.NA2020

Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction

Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee +1

In the present paper, optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral with i…

math.NA2019★ 13 cited

Fast Nonoverlapping Block Jacobi Method for the Dual Rudin--Osher--Fatemi Model

Chang-Ock Lee, Jongho Park

We consider nonoverlapping domain decomposition methods for the Rudin--Osher--Fatemi~(ROF) model, which is one of the standard models in mathematical image processing. The image do…

math.NA2019★ 5 cited

On an optimal quadrature formula for approximation of Fourier integrals in the space

Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee

This paper deals with the construction of an optimal quadrature formula for the approximation of Fourier integrals in the Sobolev space of non-periodic, complex va…

math.NA2019★ 8 cited

A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations

Chang-Ock Lee, Jongho Park

In this paper, we consider a primal-dual domain decomposition method for total variation regularized problems appearing in mathematical image processing. The model problem is trans…

math.NA2018★ 18 cited

A Finite Element Approach for the Dual Rudin--Osher--Fatemi Model and Its Nonoverlapping Domain Decomposition Methods

Chang-Ock Lee, Eun-Hee Park, Jongho Park

We consider a finite element discretization for the dual Rudin--Osher--Fatemi model using a Raviart--Thomas basis for . Since the proposed discretization has…