• Journal of the Korean Mathematical Society
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• v.50 no.5
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• pp.1129-1163
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• 2013

Based on finite element discretization, two linearization approaches to the defect-correction method for the steady incompressible Navier-Stokes equations are discussed and investigated. By applying $m$ times of Newton and Picard iterations to solve an artificial viscosity stabilized nonlinear Navier-Stokes problem, respectively, and then correcting the solution by solving a linear problem, two linearized defect-correction algorithms are proposed and analyzed. Error estimates with respect to the mesh size $h$, the kinematic viscosity ${\nu}$, the stability factor ${\alpha}$ and the number of nonlinear iterations $m$ for the discrete solution are derived for the linearized one-step defect-correction algorithms. Efficient stopping criteria for the nonlinear iterations are derived. The influence of the linearizations on the accuracy of the approximate solutions are also investigated. Finally, numerical experiments on a problem with known analytical solution, the lid-driven cavity flow, and the flow over a backward-facing step are performed to verify the theoretical results and demonstrate the effectiveness of the proposed defect-correction algorithms.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.21 no.3
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• pp.341-349
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• 1997

The characteristics of defect correction method are discussed in a sample heat conduction problem showing the numerical solution of the error correction equation can predict the error of the numerical solution of the original governing equation. A way of using defect correction method combined with the existing algorithm for the incompressible fluid flow, is proposed and subsequently tested for the driven square cavity problem. The error correction equations for the continuity equation and the momentum equations are considered to estimate the errors of the numerical solutions of the original governing equations. With this new approach, better velocity and pressure fields can be obtained by correcting the original numerical solutions using the estimated errors. These calculated errors also can be used to estimate the orders of magnitude of the errors of the original numerical solutions.

• Journal of Chest Surgery
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• v.5 no.1
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• pp.29-34
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• 1972

Interventricular Septal Defect is probably the most common congenital cardiac lesion. Despite rapid technical advances and increasing surgical experience the risk of surgical intervention for correction of Ventricular Septal Defect in infants with pulmonary hypertension remains formidable. Since Sirak et al [1959] reported a succesful case of two stage approach to their surgical correction, it has led to a policy of primary palliation,followed by complete correction as a secondary procedure, after age 3 to 4 years. Most surgeon prefer to perform complete correction of Ventricular Septal Defect when body weight exceeds 30 Lbs. and before development of so-called Eisenmengers complex, for the good postoperative results. Authors report 2 cases of Ventricular Septal Defect with pulmonary hupertenslon, who was underwent pulmonary artery banding as a palliative procedure in the Department of Surgery,Severance Hospital Yonsei University. Case 1:4 year old male, initially a complete correction of Ventricular Septal Defect was attempted by the help of mild hypothermia and extracorporeal circulation. During the procedure of a construction of an extracorporeal by- pass, a sudden cardiac arrest developed. After resuscitation of the heart,pulmonary artery banding was performed as a palliation. On the first postoperative day the patient developed generalized tonic convulsion, cyanosis, vomiting and eventually shock. Patient discharged home after a full recovery. Case 2.: 9 month old female, the pulmonary artery constricted with Teflon patch successfully. After the patients first postoperative day several cyanotic spells developed followed by 3 cardiac arrests. This repeated until when she expired with respiratory failure.

• Journal of applied mathematics & informatics
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• v.32 no.3_4
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• pp.511-527
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• 2014

This paper provides a new application similar to the Local Defect Correction (LDC) technique to solve Poisson problem -u"(x) = f(x) with Dirichlet boundary conditions. The exact solution is supposed to have high activity in some region of the domain. LDC is combined with a fourth order compact scheme which is recently developed in Abbas (Num. Meth. Partial differential equations, 2013). Numerical tests illustrate the interest of this application.

• The Korean Journal of Nuclear Medicine Technology
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• v.18 no.2
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• pp.28-32
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• 2014

Purpose Patient motion during myocardial perfusion SPECT can produce images that show visual artifacts and perfusion defects. This artifacts and defects remain a significant source of unsatisfactory myocardial perfusion SPECT. Motion correction has been developed as a way to correct and detect the patient motion for reducing artifacts and defects, and each motion correction uses different algorithm. We corrected simulated motion patterns with several motion correction methods and compared those images. Materials and Methods Phantom study was performed. The anthropomorphic torso phantom was made with equal counts from patient's body and simulated defect was added in myocardium phantom for to observe the change in defect. Vertical motion was intentionally generated by moving phantom downward in a returning pattern and in a non-returning pattern throughout the acquisition. In addition, Lateral motion was generated by moving phantom upward in a returning pattern and in a non-returning pattern. The simulated motion patterns were detected and corrected similarly to no-motion pattern image and QPS score, after Motion Detection and Correction Method (MDC), stasis, Hopkins method were applied. Results In phantom study, Changes of perfusion defect were shown in the anterior wall by the simulated phantom motions, and inferior wall's defect was found in some situations. The changes derived from motion were corrected by motion correction methods, but Hopkins and Stasis method showed visual artifact, and this visual artifact did not affect to perfusion score. Conclusion It was confirmed that motion correction method is possible to reduce the motion artifact and artifactual perfusion defect, through the apply on the phantom tests. Motion Detection and Correction Method (MDC) performed better than other method with polar map image and perfusion score result.

• Journal of the Korean Mathematical Society
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• v.49 no.3
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• pp.549-569
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• 2012

In this paper asymptotic error expansions for mixed finite element approximations to a class of second order elliptic optimal control problems are derived under rectangular meshes, and the Richardson extrapolation of two different schemes and interpolation defect correction can be applied to increase the accuracy of the approximations. As a by-product, we illustrate that all the approximations of higher accuracy can be used to form a class of a posteriori error estimators of the mixed finite element method for optimal control problems.

• Journal of Chest Surgery
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• v.33 no.2
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• pp.139-145
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• 2000

Background: The purpose of this study is to review the clinical course after the correction of noncomplicated ventricular septal defect and to analyze the morbidity and risk factors of postoperative complications and evaluate residual defect during the follow-up period. Material and Method: From September 1994 to June 1998 24 patients(median age 10 months) underwent surgery under the diagnosis of ventricular septal defect. We made a retrospective review of the clinical records including the operation notes critical care unit records echocardiography results and the follow-up records. Result: There was no early mortality nd late mortality. There was no postoperative complete conduction block. Respiratory complication was the most common complication. The body weight age type of ventricular septal defect associated anomalies and operative procedure were not related to the incidence of complications. residual ventricular septal defects aortic valve regurgitation and tricuspid valve regurgitation were insignificant in postoperative hemodynamics, Conclusions: Correction of the noncomplicated ventricular septal defect was done without mortality and complete heart block. Aggressive preoperative medical treatment and early surgical treatment may decrease postoperative complications. Postoperative residual shunt and tricuspid regurgitation were not problematic during the follow-up

• Journal of Chest Surgery
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• v.12 no.3
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• pp.225-232
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• 1979

A 15-year-old girl underwent successful surgical correction of double-outlet right ventricle [S.D.L.] subaortic ventricular septal defect, patent foramen ovale, and pulmonary hypoplasia with valvular stenosis. The operation consisted of an internal baffling connecting the left ventricle to the aorta through the ventricular septal defect. The pulmonary stenosis was corrected with the method of connection the right ventricle to the pulmonary artery bifurcation using the Hancock valve[18mm] contained conduit. This rare type of DORV seemed to be suitable for corrective surgery, and the patient`s condition is very good until present time (post operative 7 months).

• Journal of Chest Surgery
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• v.22 no.4
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• pp.655-660
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• 1989

The unroofed coronary sinus syndrome is a spectrum of cardiac anomalies in which part or all the common wall between the coronary sinus and the left atrium is absent. This defect is part of a developmental complex which includes absence of the coronary sinus and termination of a persistent left superior vena cava in the left atrium. Recognition of this complex is important so that interruption or diversion of the left superior vena cava may be done to prevent subsequent central nervous system complications. Surgical correction uses an intraatrial baffle to divert flow from the left superior vena cava to right atrium and to close the atrial septal defect. This report describes a 7 years old female patient in whom the left superior vena cava was identified preoperatively and the complex [unroofed coronary sinus syndrome, common atrium, mitral valve cleft] recognized at the time of operation. Surgical correction, following repair of cleft mitral valve, utilized a Dacron patch baffle to route the left caval blood to the right atrium and included closure of the atrial septal defect

• Journal of Chest Surgery
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• v.23 no.4
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• pp.654-658
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• 1990

Between January of 1980 and December of 1989, we are encountered 121 cases of Down syndrome here at Yonsei University Medical Center. of these being endocardial cushion defect, ventricular septal defect, tetralogy of Fallot, atrial septal defect, patent ductus arteriosus and complicated anomalies. The mean age was 1 month 2 years with the sexual division at 31 males and 29 females. Among these 60 patients, 10 of them were treated trough surgical management, 8 of them being open heart surgeries, the 8 open heart surgeries are broken down as follow: 4 total correction of ECD, 2 patch repair of VSD, 1 total correction of TOF, 1 patch repair of ASD secundum. Another 2 operative management are ligation of PDA and modified Blalock - Taussig shunt of TOF. Postoperatively all patients were weaned and extubated on an artificial ventilator without any respiratory complications, and were discharged without incident.