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EXPLICIT BOUNDS OF EIGENVALUES FOR STIFFNESS MATRICES BY QUADRATIC HIERARCHICAL BASIS METHOD)

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Journal of Computational Mathematics 2003年第2期21卷 113-124页

作者： sang dong kim Byeong Chun SHIN Department of Mathematics Kyungpook National UniversityTaegu 702-701KoreaDepartment of MathematicsChonnam National UniversityGwangju 500-757Korea

The bounds for the eigenvalues of the stiffness matrices in the finite element discretization corresponding to Lu := - u' with zero boundary conditions by quadratic hierarchical basis are shown explicitly. The condition number of the resulting system behaves like O(1/h) where h is the mesh size. We also analyze a main diagonal preconditioner of the stiffness matrix which reduces the condition number of the preconditioned system to O(1).

关键词： hierarchical basis multilevel

DISCRETE MINUS ONE NORM LEAST-SQUARES FOR THE STRESS FORMULATION OF LINEAR ELASTICITY WITH NUMERICAL RESULTS

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Journal of Computational Mathematics 2003年第6期21卷 689-702页

作者： sang dong kim Byeong Chun Shin Seokchan kim Gyungsoo Woo Department of Mathematics Kyungpook National University Taegu 702-701 KoreaDepartment of Mathematics Chonnam National University Kwangju 500-757 KoreaDepartment of Mathematics Changwon Nationnal University Changwon 641-773 KoreaDepartment of Mathematics Changwon Nationnal University Changwon 641-773 Korea

This paper studies the discrete minus one norm least-squares methods for the stress formulation of pure displacement linear elasticity in two dimensions. The proposed least-squares functional is defined as the sum of the L2- and H-1-norms of the residual equations weighted appropriately. The minus one norm in the functional is replaced by the discrete minus one norm and then the discrete minus one norm least-squares methods are analyzed with various numerical results focusing on the finite element accuracy and multigrid convergence performances.

关键词： H-1 least-squares Linear elasticity Multigrid method.

First-Order System Least-Squares Methods for a Flux Control Problem by the Stokes Flow

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Communications in Computational Physics 2010年第4期7卷 738-758页

作者： Soorok Ryu sang dong kim Hyung-Chun Lee Department of Industrial and Applied Mathematics Kyungpook National UniversityDaegu 702-701Korea Department of Mathematics Kyungpook National UniversityDaegu 702-701Korea Department of Mathematics Ajou UniversitySuwon 443-749Korea

This article deals with a first-order least-squares approach to the solution of an optimal control problem governed by Stokes *** with our earlier work on a velocity control by the Stokes flow in[***,H.-*** and ***,SIAM ***.,47(2009),pp.1524-1545],we recast the objective functional as a H1 seminorm in the velocity control *** introducing a velocity-flux variable and using the Lagrange multiplier rule,a first-order optimality system is *** show that the least-squares principle based on L2 norms applied to this system yields the optimal discretization error estimates for each variable in H1 norm,including the velocity *** numerical tests,multigrid method is employed to the discrete algebraic system,so that the velocity and flux controls are obtained.

关键词： Optimal control optimization least-squares finite element methods Lagrange multiplier Stokes equations.

Endovascular treatment for delayed type Ib endoleak with hostile arterial anatomy after endovascular abdominal aortic aneurysm repair

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Chinese Medical Journal 2022年第15期135卷 1876-1877页

作者： Jong Seok Lee sang dong kim Department of Surgery Division of Vascular and Transplant SurgeryCollege of MedicineThe Catholic University of KoreaSeoul 06591Korea

To the Editor:A 71-year-old male patient was referred for incidentally delayed type Ib_endoleak_on computed tomographic angiography(CTA).He had been performed endovascular abdominal aortic aneurysm repair(EVAR)with the Zenith(Cook Inc,Bloomington,IN,USA)stent-grafts for right common iliac artery(CIA)aneurysm with a diameter of 4.4 cm at 17 months ago.

关键词： anatomy aneurysm abdominal

Comparison of Minimal Skin Incision Technique in Living Kidney Transplantation and Conventional Kidney Transplantation

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Chinese Medical Journal 2016年第8期129卷 917-921页

作者： sang-dong kim Ji-II kim In-Sung Moon Sun-Cheol Park Department of Surgery Division of Vascular and Transplant Surgery College of Medicine The Catholic University of Korea Seoul 137-040 Korea

Background：Recently,the most common incision for kidney transplantation （KT） is an inverted J-shaped incision known as the ＆quot;hockey-stick.＆quot; However,demands for minimally invasive surgery in KT are increasing as in other various fields of ***,we evaluated whether there is difference between minimal skin incision technique in kidney transplantation （MIKT） and conventional KT （CKT）.Methods：Between June 2006 and March 2013,a total of 452 living kidney transplant patients were *** MIKT group included 17 young unmarried women whose body mass index was 〈25 kg/m^2 and had no anatomic *** CKT group included 435 *** MIKT operation technique restricted to the 10 cm-sized skin incision in the lower right abdomen from laterally below the anterior superior iliac spine to the midline just above the pubis was *** compared the baseline clinical characteristics and postoperative results between two *** proper comparison,propensity score matching was ***：There was no difference in graft function,survival,and postoperative complication rate between MIKT and CKT groups （all P 〉 0.05）.The 5-year graft survival was 92.3% and 85.7% in MIKT and CKT groups,respectively （P =0.786）.Conclusions：Our results indicated that MIKT showed more favorable cosmetic results,and there were no statistical differences in various postoperative factors including graft function,survival,and complications compared with ***,we suggested that MIKT is an appropriate method for selected patients in living KT.

关键词： Kidney Transplantation Minimal Skin Incision: Conventional Kidney Transplantation

Finite Difference Preconditioners for Legendre Based Spectral Element Methods on Elliptic Boundary Value Problems

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Applied Mathematics 2013年第5期4卷 838-847页

作者： Seonhee kim Amik St-Cyr sang dong kim Computation and Modeling Shell Technology Center Houston (STCH) Houston USA Department of Mathematics Kyungpook National University Daegu South Korea

Finite difference type preconditioners for spectral element discretizations based on Legendre-Gauss-Lobatto points are analyzed. The latter is employed for the approximation of uniformly elliptic partial differential problems. In this work, it is shown that the condition number of the resulting preconditioned system is bounded independently of both of the polynomial degrees used in the spectral element method and the element sizes. Several numerical tests verify the h-p independence of the proposed preconditioning.

关键词： Finite Difference Preconditioner Iterative Method Spectral Element Method Elliptic Operator

Surgical management of ruptured mycotic aortic aneurysm induced by Klebsiella pneumoniae

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Chinese Medical Journal 2019年第1期132卷 89-91页

作者： sang dong kim Jeong Kye Hwang In Sung Moon Sun Cheol Park Department of Surgery Division of Vascular and Transplant SurgeryCollege of MedicineThe Catholic University of KoreaSeoul 06591Korea

To the Editor:A 63-year-old male patient was referred from a local clinic for diffuse abdominal pain for 1 day and ruptured abdominal aortic aneurysm (rAAA) in computed tomography (CT).He denied any medical history of hypertension,diabetes mellitus,hepatitis or *** patient’s blood pressure was 100/70 mmHg with a pulse rate of 105 beats/min and a body temperature of 37.1℃.The Abdomen was mildly distended with diffuse pain and tenderness.

关键词： Klebsiella pneumoniae Surgical management ruptured mycotic aortic aneurysm induced

Surgical Management of Symptomatic Adventitial Cystic Disease of the Popliteal Artery as a Cause of Deep Vein Thrombosis

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Chinese Medical Journal 2018年第17期131卷 2141-2142页

作者： Jong Seok Lee Jeong Kye Hwang Sun Cheol Park sang dong kim Department of Surgery Division Medical Detachment Ministry of National Defense Gangwon-do 24151 Korea Department of Surgery Division of-Vascular and Transplant Surgery College of Medicine The Catholic University of Korea Seoul 06591 Korea

To the Editor： A 67-year-old female was referred for persisted swelling in right leg despite of anticoagulation during 2 months for deep vein thrombosis （DVT） of the right popliteal vein （PV）. Initial duplex ultrasonography of local clinic at 2 months ago showed the acute DVT of right PV with thrombus and dilated vein [Figure 1a].

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ybrid Management for Supraceliac Aortic Aneurysm in a High-Risk Patient

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Chinese Medical Journal 2018年第14期131卷 1757-1758页

作者： Jun Seong Kwon Jeong Kye Hwang Sun Cheol Park sang dong kim Department of Surgery Division of Vascular and Transplant Surgery College of Medicine The Catholic University of Korea Seou1403-720 Korea

To the Editor： An 84-year-old male was referred from a local clinic for an incidental thoracoabdominal aortic aneurysm （TAAA） presenting in a supraceliac aortic aneurysm （SCAA） with maximal diameter of 6.0 cm in spine magnetic resonance imaging. He had a medical history of hypertension and chronic obstructive pulmonary disease, and was a 30 pack-years＇ smoker. On physical exalnination, his vital signs were stable and abdomen was soft without pain and tenderness. Laboratory findings showed white blood cell count of 4840/μl, serum creatinine of 9 mg/L, erythrocyte sedimentation rate of 16 mm/h, and c-reactive protein of 13.24 mg/L.

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