## Listed below are Dr. Il-Yong Kim's recent publications pertaining to MDO.

**PAPERS IN REFEREED JOURNALS**

[108] Eisen, D. and Kim, I. Y., 2024, "Optimization of a roller coaster

bogie considering fatigue life", *Engineering Optimization*, Advance online publication.

[107] McKenzie, A., Potvin, M.-J., Kim, I. Y., 2024, "Damping optimization of a fully viscoelastic structure with enforced mass reduction", *Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science*, Advance online publication.

[106] Kim, H. and Kim, I. Y., 2024, "3D decomposition optimization of topology-optimized structures considering a build volume constraint for additive manufacturing", *Computer Methods in Applied Mechanics and Engineering*, 432(A), 117357.

[105] Shi, Y., Huang, Y. and Kim, I. Y., 2024, "Multi-material topology optimization considering both isotropy and anisotropy with fibre orientation optimization", *Engineering Optimization*, Advance online publication.

[104] Crispo, L. and Kim, I. Y., 2024, "Topology and build orientation optimization for additive manufacturing considering build height and overhang area", *Structural and Multidisciplinary Optimization*, 67:98.

[103] Douglas, C., Huh, J. S., Jun, S. O., and Kim, I. Y., 2024, "Packing optimization of practical systems using a dynamic acceleration methodology", *Journal of Engineering and Applied Science,* 71:92.

[102] Moffatt, C. W., Huh, J., Jun, S., and Kim, I. Y., 2024. "Thermally Driven Multi-Objective Packing Optimization Using Acceleration Fields." ASME. *Journal of Mechanical Design,* 146(8): 081703.

[101] Ray, N. and Kim, I.Y., 2024, "Fiber reinforced additive manufacturing: structurally motivated print orientation and sequential topology optimization of anisotropic material", *Rapid Prototyping Journal*, 30(2), pp. 305-322.

[100] Sirola, T. and Kim, I. Y., 2023, “Multi-joint topology optimization for stiffness constrained design problems”, *Structural and Multidisciplinary Optimization*, 66(6):129.

[99] Forward, C. and Kim, I. Y., 2023, “Layered fiber orientation optimization for continuous fiber reinforced polymer additive manufacturing using multi-material topology optimization”, *Progress in Additive Manufacturing*, pp. 1-12.

[98] Shah, V. and Kim, I. Y., 2023, “All-terrain vehicle chassis design using multi-material topology optimization and material interface control,” *Structural and Multidisciplinary Optimization*, 66(3):45.

[97] Roper, S. and Kim, I. Y., 2022, “Integrated topology and packaging optimization for conceptual-level electric vehicle chassis design via the component-existence method,” *Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering*, 237(9), pp. 2118-2131.

[96] Morin, R. and Kim, I. Y., 2022, “Partitioning a topology-optimized structure into additively manufacturable parts using a feature-mapping approach: a novel decomposition optimization method”, *Structural and Multidisciplinary Optimization*, 65(10):298.

[95] Bohrer, R. and Kim, I. Y., 2022, “Multi-material topology and stacking sequence optimization of composite laminated plates”, *Structural and Multidisciplinary Optimization*, 65(9):274.

[94] Roper, S. and Kim, I. Y., 2022, “Integrated topology and packaging optimization for multi-phase multi-component problems”, *Structural and Multidisciplinary Optimization*, 65(5):141.

[93] Shah, V., Pamwar, M., Sangha, B., and Kim, I. Y., 2022, “Multi-Material Topology Optimization Considering Natural Frequency Constraint,” *Engineering Computations*, 39(7), pp. 2604-2629.

[92] Sun, M., Wowk, D., Mechefske, C., Alexander, E., and Kim, I. Y., 2022, “Surface and Honeycomb Core Damage in Adhesively Bonded Aluminum Sandwich Panels Subjected to Low-Velocity Impact,” *Composites Part B: Engineering*, 230:109506.

[91] Schmitt, M. and Kim, I. Y., 2021, “Topology optimization for infill in MEx,” *Rapid Prototyping Journal*, 27(8), pp. 1580-1590.

[89] Schmitt, M. and Kim, I. Y., 2021, “Advancements to commercial 2D infill for lightweighting of structural FDM components,” *Progress in Additive Manufacturing*, 6(4), pp. 617-629.

[88] Roper, S. and Kim, I. Y., 2021, “Integrated topology and packaging optimization using coupled material and component pseudo-densities,” *Structural and Multidisciplinary Optimization*, 64(4), pp. 3345-3380.

[87] Bohrer, R. and Kim, I. Y., 2021, “Concurrent topology and stacking sequence optimization of composite laminate plates using lamination parameters,” *Composite Structures*, 276:114556.

[86] Crispo, L. and Kim, I. Y., 2021, “Part consolidation for additive manufacturing: A multilayered topology optimization approach,” *International Journal for Numerical Methods in Engineering*, 122 (18), pp. 4987-5027.

[85] Yu, W., Tu, W., Kim, I. Y., and Mechefske, C., 2021, “A nonlinear-drift-driven Wiener process model for remaining useful life estimation considering three sources of variability,” *Reliability Engineering & System Safety*, 212:107631.

[84] Bohrer, R. and Kim, I. Y., 2021, “Multi-material topology optimization considering isotropic and anisotropic materials combination,” *Structural and Multidisciplinary Optimization*, 64(3), pp. 1567–1583.

[83] Kashanian, K. and Kim, I. Y., 2021, “A novel method for concurrent thickness and material optimization of non-laminate structures,” *Structural and Multidisciplinary Optimization*, 64(3), pp. 1421–1437.

[82] Munroe, E., Bohrer, R., Chishty, W. A., and Kim, I. Y., 2021, “Structural design of a morphing serpentine inlet using a multi-material topology optimization methodology,” *Structural and Multidisciplinary Optimization*, 64(1), pp. 389–422.

[81] Roper, S., Lee, H., Huh, M., and Kim, I. Y., 2021, “Simultaneous isotropic and anisotropic multi-material topology optimization for conceptual-level design of aerospace components,” *Structural and Multidisciplinary Optimization*, 64(1), pp. 441-456.

[80] Yu, W., Kim, I. Y., and Mechefske, C., 2021, “Analysis of different RNN autoencoder variants for time series classification and machine prognostics,” *Mechanical Systems and Signal Processing*, 149:107322.

[79] Shah, V., Pamwar, M., Sangha, B., and Kim, I. Y., 2021, “Material interface control in multi‐material topology optimization using pseudo‐cost domain method,” *International Journal for Numerical Methods in Engineering*, 122 (2), pp. 455-482.

[78] Crispo, L., Bohrer, R., Roper, S., and Kim, I. Y., 2021, “Spatial gradient interface detection in topology optimization for an unstructured mesh,” *Structural and Multidisciplinary Optimization*, 63 (1), pp. 515-522.

[77] Yu, W., Mechefske, C., and Kim, I. Y., 2020, “Identifying optimal features for cutting tool condition monitoring using recurrent neural networks,” *Advances in Mechanical Engineering*, 12 (12), pp.1-14.

[76] Roper. S., Ryu, S., Seong, B., Joo, C., and Kim, I. Y., 2020, “A topology optimization implementation for depth-of-focus extension of binary phase filters,” *Structural and Multidisciplinary Optimization*, 62 (5), pp. 2731-2748.

[75] Sabiston, G. and Kim, I. Y., 2020, “Void region restriction for additive manufacturing via a diffusion physics approach,” *International Journal for Numerical Methods in Engineering*, 121 (19), pp. 4347-4373.

[74] Blackford, B., Zak, G., and Kim, I. Y., 2020, “The effect of scan path on thermal gradient during selective laser melting,” *The International Journal of Advanced Manufacturing Technology*, 110 (5), pp. 1261-1274.

[73] Kim, C. Seong, H. K., Kim, I. Y., and Yoo, J., 2020, “Single variable-based multi-material structural optimization considering interface behavior,” *Computer Methods in Applied Mechanics and Engineering*, 367, pp. 113114.

[72] Trivers, N. C., Carrick, C., and Kim, I. Y., 2020, “Design optimization of a business aircraft seat considering static and dynamic certification loading and manufacturability,” *Structural and Multidisciplinary Optimization*, 62 (6), pp. 3457-3476.

[71] Yu, W. Kim, I. Y., and Mechefske, C., 2020, “An improved similarity-based prognostic algorithm for RUL estimation using an RNN autoencoder scheme,” *Reliability Engineering & System Safety*, 199:106926.

[70] Warwick, B. T., Kim, I. Y., and Mechefske, C., 2020, “Damping of Powder Metal Rings,” *SAE International Journal of Vehicle Dynamics, Stability, and NVH*, 4, pp. 249-258.

[69] Florea, V., Pamwar, M., Sangha, B., and Kim, I. Y., 2020, “Simultaneous single‐loop multimaterial and multijoint topology optimization,” *International Journal for Numerical Methods in Engineering*, 121 (7), pp. 1558-1594.

[68] Shah, V., Kashanian, K., Pamwar, M., Sangha, B., and Kim, I. Y., 2020, “Multi-material topology optimization considering manufacturing constraints,” *SAE International Journal of Advances and Current Practices in Mobility*, 2 (6), pp. 3268-3277.

[67] Kashanian, K., Shah, V., Pamwar, M., Sangha, B., and Kim, I. Y., 2020, “Motorcycle chassis design utilizing multi-material topology optimization,” *SAE International Journal of Advances and Current Practices in Mobility*, 2 (4), pp. 1905-1912.

[66] Yu, L., Ma, B., Kim, I. Y., and Li, H., 2020, “Influences of the uneven contact pressure and the initial temperature on the hot judder behavior in a multi-disc clutch,” *Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology*, 234 (4), pp. 500-514.

[65] Kendall, P., Sun, M., Wowk, D., Mechefske, C., and Kim, I. Y., 2020, “Experimental investigation of adhesive fillet size on barely visible impact damage in metallic honeycomb sandwich panels,” *Composites Part B: Engineering*, 184:107723.

[64] Sabiston, G., and Kim, I. Y., 2020, “3D topology optimization for cost and time minimization in additive manufacturing,” *Structural and Multidisciplinary Optimization*, 61 (2), pp. 731-748.

[63] Warwick, B. T., Mechefske, C., and Kim, I. Y., 2020, “Effect of Bulkhead Pressurization on the Vibro-Acoustic Properties of an Aft-Fuselage-Mounted Twin-Engine Aircraft,” *Journal of Vibration and Acoustics*, 142 (1):011001.

[62] Li, D. and Kim, I. Y., 2020, “Modified element stacking method for multi-material topology optimization with anisotropic materials,” *Structural and Multidisciplinary Optimization*, 61 (2), pp. 525-541.

[61] Schmitt, M., Mehta, R. M., and Kim, I. Y., 2020, “Additive manufacturing infill optimization for automotive 3D-printed ABS components,” *Rapid Prototyping Journal*, 26 (1), pp. 89-99.

[60] Olsen, J. and Kim, I. Y., 2020, Design for additive manufacturing: 3D simultaneous topology and build orientation optimization,” *Structural and Multidisciplinary Optimization*, 62 (4), pp. 1989-2009.

[59] Fritz, K. and Kim, I. Y., 2020, “Simultaneous topology and build orientation optimization for minimization of additive manufacturing cost and time,” *International Journal for Numerical Methods in Engineering*, 121 (15), pp. 3442-3481.

[58] Florea, V., Pamwar, M., Sangha, B., and Kim, I. Y., 2019, “3D multi-material and multi-joint topology optimization with tooling accessibility constraints,” *Structural and Multidisciplinary Optimization*. 60 (6), pp. 2531-2558.

[57] Carrick, C. and Kim, I. Y., 2019, “Packaging optimization using the dynamic vector fields method,” *International Journal for Numerical Methods in Engineerin*g, 120 (7), pp. 860-879.

[56] Warwick, B. T., Kim, I. Y., and Mechefske, C., 2019, “Substructuring verification of a rear fuselage mounted twin-engine aircraft,” *Aerospace Science and Techn*ology, 93:105305.

[55] Warwick, B. T., Mechefske, C., and Kim, I. Y., 2019, “Topology optimization of a pre-stiffened aircraft bulkhead,” *Structural and Multidisciplinary Optimization*, 60 (4), pp. 1667-1685.

[54] Yu, W., Kim, I. Y., and Mechefske, C., 2019, “Remaining useful life estimation using a bidirectional recurrent neural network based autoencoder scheme,” *Mechanical Systems and Signal Processing*, 129, pp. 764-780.

[53] Sun, M., Wowk, D., Mechefske, C., and Kim, I. Y., 2019, “An analytical study of the plasticity of sandwich honeycomb panels subjected to low-velocity impact,” *Composites Part B: Engineering*, 168, pp. 121-128.

[52] Warwick, B. T, Kim, I. Y., and Mechefske, C., 2019, Multi-objective model updating optimization considering orthogonality,” *Journal of Computational and Nonlinear Dynamics*, 14 (6):061009.

[51] Ryan, L., and Kim, I. Y., 2019, “A multiobjective topology optimization approach for cost and time minimization in additive manufacturing,” *International Journal for Numerical Methods in Engineering*, 118(7), pp. 371–394.

[50] Hanachi, H., Yu, W., Kim, I. Y., Liu, J., and Mechefske, C. K., 2019, “Hybrid data-driven physics-based model fusion framework for tool wear prediction,” *International Journal of Advanced Manufacturing Techn*ology, 101(9-12), pp. 2861–2872.

[49] Hanachi, H., Liu, J., Kim, I. Y., and Mechefske, C. K., 2019, “Hybrid sequential fault estimation for multi-mode diagnosis of gas turbine engines,” *Mechanical Systems and Signal Processing*, 115, pp. 255–268.

[48] Gao, F. L., Bai, Y. C., Lin, C., and Kim, I. Y., 2019, “A time-space Kriging-based sequential metamodeling approach for multi-objective crashworthiness optimization,” *Applied Mathematical Modelling*, 69, pp. 378–404.

[47] Li, D. and Kim, I. Y., 2018, “Multi-material topology optimization for practical lightweight design,” *Structural and Multidisciplinary Optimization*, 58(3), pp. 1081–1094.

[46] Woischwill, C. and Kim, I. Y., 2018, “Multimaterial multijoint topology optimization,” *International Journal for Numerical Methods in Engineering*, 115(13), pp. 1552–1579.

[45] Hanachi, H., Liu, J., Ding, P., Kim, I. Y., and Mechefske, C. K., 2018, “Predictive Compressor Wash Optimization for Economic Operation of Gas Turbine,” *Journal of Engineering for Gas Turbines and Power*, 140(12), pp. 1–11.

[44] Li, C. and Kim, I. Y., 2018, “Multi-material topology optimization for automotive design problems,” *Proceedings of the Institution of Mechanical Engineers, Part D, Journal of Automobile Engineering*, 232(14), pp. 1950–1969.

[43] Wong, J., Ryan, L., and Kim, I. Y., 2018, “Design optimization of aircraft landing gear assembly under dynamic loading,” *Structural and Multidisciplinary Optimization*, 57(3), pp. 1357-1375.

[42] Li, C. and Kim, I. Y., 2015, “Topology, size and shape optimization of an automotive cross car beam,” *Proceedings of the Institution of Mechanical Engineers, Part D, Journal of Automobile Engineering*, 229, pp. 1361-1378.

[41] Li, C., Kim, I. Y., and Jeswiet, J., 2015, “Conceptual and detailed design of an automotive engine cradle by using topology, shape, and size optimization,” *Structural and Multidisciplinary Optimization*, 51, pp 547-564.

[40] Jarrett, A. and Kim, I. Y., 2014, “Influence of operating conditions on the optimum design of electric vehicle battery cooling plates,” *Journal of Power Sources*, 245, pp. 644-655.

[39] Kashani Zadeh, H., Jeswiet, J., and Kim, I. Y., 2013, “Improvement in robustness and computational efficiency of material models for finite element analysis of metal powder compaction and experimental validation,” *International Journal of Advanced Manufacturing Technology*, 68, pp. 1785-1795.

[38] Kim, S. S., Mechefske, C., and Kim, I. Y., 2013, “Optimal damping layout in a shell structure using topology optimization,” *Journal of Sound and Vibration*, 332, pp. 2873–2883.

[37] Kim, S. Y., Kim, I. Y., and Mechefske, C., 2012, “A New Efficient Convergence Criterion for Reducing Computational Expense in Topology Optimization: Reducible Design Variable Method,” *International Journal for Numerical Methods in Engineering*, 90, pp. 752–783.

[36] Willing, R. and Kim, I. Y., 2012, “Quantifying the competing relationship between durability and kinematics of total knee replacements using multiobjective design optimization and validated computational models,” *Journal of Biomechanics*, 45, pp.141-147.

[35] Willing, R. and Kim, I. Y., 2012, “The development, calibration, and validation of a numerical total knee replacement kinematics simulator considering laxity and unconstrained flexion motions,” *Computer Methods in Biomechanics and Biomedical Engineering*, 15, pp. 585-593.

[34] Jarrett, A. and Kim, I. Y., 2011, “Design Optimization of Electric Vehicle Battery Cooling Plates for Thermal Performance,” *Journal of Power Sources*, 196, pp. 10359– 10368.

[33] Branker, K., Jeswiet, J., Kim, I. Y., 2011, “Greenhouse Gases Emitted in Manufacturing a Product - A New Economic Model,” *CIRP Annals - Manufacturing Technology*, 60, pp. 53-56*. *

[32] Boyle, C. and Kim, I. Y., 2011, “Comparison of different hip prosthesis shapes considering micro-level bone remodeling and stress shielding criteria using three-dimensional design space topology optimization,” *Journal of Biomechanics*, 44, pp. 1722-1728.

[31] Willing, R. and Kim, I. Y., 2011, “Design Optimization of a Total Knee Replacement for Improved Constraint and Flexion Kinematics Using a Validated Computational Model Journal of Biomechanics,” *Journal of Biomechanics*, 44, pp. 1014–1020.

[30] Boyle, C. and Kim, I. Y., 2011, “Three-dimensional micro-level computational study of Wolff’s law via trabecular bone remodeling in the human proximal femur using design space topology optimization,” *Journal of Biomechanics*, 44, pp. 935–942.

[29] Nava, P., Jeswiet, J., Kim, I. Y., 2010, “Calculation of Carbon Emissions in Metal Forming Manufacturing Processes with Eco-benign Lubrication,” *Transactions of the NAMRI/SME*, 38, pp. 743-750

[28] Kashani Zadeh, H., Kim, I. Y., Jeswiet, J., 2010, “Improving Computational Efficiency and Stability Of Material Models For Finite Element Analyses Of Metal Powder Compaction,” *Transactions of the NAMRI/SME*, 38, pp. 623-631.

[27] Jang, I. G. and Kim, I. Y., 2010, “Application of design space optimization to bone remodeling simulation of trabecular architecture in human proximal femur for higher computational efficiency,” *Finite Elements in Analysis and Design*, 46, pp. 311-319.

[26] Jang, I. G. and Kim, I. Y., 2010, “Computational study on the effect of loading alteration caused by disc degeneration on the trabecular architecture in human lumbar spine,” *Journal of Biomechanics*, 43, pp. 492-499.

[25] Jang, I. G. and Kim, I. Y., 2010, “Computational simulation of simultaneous cortical and trabecular bone change in human proximal femur during bone remodeling,” *Journal of Biomechanics*, 42, pp. 294-301.

[24] Willing, R. and Kim, I. Y., 2009, “A holistic numerical model to predict strain hardening and damage of UHMWPE under multiple total knee replacement kinematics and experimental validation,” *Journal of Biomechanics*, 42, pp. 2520-2527.

[23] Cristello, N. and Kim, I. Y., 2009, “Multi-objective shape optimization of an automotive universal joint assembly,” *International Journal of Heavy Vehicle Systems*, 16, pp. 271-293.

[22] Kashani Zadeh, H., Kim, I. Y., and Jeswiet, J., 2009, “Nonlinear finite element analysis of metal powder die compaction using various plasticity models,” *Transactions of the NAMRI/SME*, 37, pp. 357-363.

[21] Manu, C., Birk, M., and Kim, I. Y., 2009, “Uniaxial High-Temperature Creep Property Predictions Made by CDM and MPC Omega Techniques for ASME SA 455 Steel,” *Journal of Engineering Failure Analysis*, 16(4), pp. 1303-1313.

[20] Manu, C., Birk, M., and Kim, I. Y., 2009, “Stress Rupture Predictions of Pressure Vessels Exposed to Fully Engulfing and Local Impingement Accidental Fire Heat Loads,” *Journal of Engineering Failure Analysis*, 16(4), pp. 1141-1152.

[19] Jang, I. G. and Kim, I. Y., 2009, “Computational simulation of trabecular adaptation progress in human proximal femur during growth,” *Journal of Biomechanics*, 42, pp. 573-580.

[18] Matsoukas, G. and Kim, I. Y., 2009, “Design Optimization of a Total Hip Prosthesis for Wear Reduction,” *ASME Journal of Biomechanical Engineering*, 131(5):051003.

[17] Matsoukas, G., Willing, R, and Kim, I. Y., 2009, “Total Hip Wear Assessment: A Comparison Between Computational and In Vitro Wear Assessment Techniques Using ISO 14242 Loading and Kinematics,” *ASME Journal of Biomechanical Engineering*, 131(4):041011.

[16] Jang, I. G., Kim, I. Y., and Kwak, B. M., 2009, “Analogy of strain energy density based bone remodeling algorithm and structural topology optimization,” *ASME Journal of Biomechanical Engineering*, 131(1):011012.

[15] Willing, R. and Kim, I. Y., 2009, “Three dimensional shape optimization of total knee replacements for reduced wear,” *Structural and Multidisciplinary Optimization*, 38, pp.405-414.

[14] Jang, I. G. and Kim, I. Y., 2008, “Computational study of Wolff's law with trabecular architecture in the human proximal femur using topology optimization,” *Journal of Biomechanics*, 41(11), pp. 2353-2361.

[13] Smith, S. and Kim, I. Y., 2008, “Optimization of Loading Paths for a T-Shaped Tube Hydroformed Part,” *Transactions of the NAMRI/SME*, 36, pp. 209-216.

[12] Etizaz, F., Szekeres, A., Jeswiet, J., and Kim, I. Y., 2008, “A finite element model for ejection of green parts in PM compaction,” *Transactions of NAMRI/SME 2008*, 36, pp. 397-404.

[11] Amiri, S., Cooke, D., Kim, I. Y., Wyss, U., 2007, “Mechanics of the passive knee joint. Part 2: Interaction between the ligaments and the articular surfaces in guiding the joint motion,” *Proceedings of the Institution of Mechanical Engineers, Part H, Journal of Engineering in Medicine*, 221(8), pp. 821-832.

[10] Cristello, N. and Kim, I. Y., 2007, “Multidisciplinary design optimization of a zero emission vehicle chassis considering crashworthiness and hydroformability, ”*Proceedings of the Institution of Mechanical Engineers, Part D, Journal of Automobile Engineering*, 221, pp. 511-526.

[9] Suh, E. S., de Weck, O., Kim, I. Y., and Chang, D., 2007, “Flexible Platform Component Design under Uncertainty,” *Journal of Intelligent Manufacturing*, 19(1), pp. 115-126.

[8] Lee, S., Kwak, B. Y., Kim, I. Y., 2007, “Smooth Boundary Topology Optimization Using B-spline and Hole Generation,” *International Journal of CAD/CAM*, 7(1), pp. 11-20.

[7] Amiri, S., Cooke, D., Kim, I. Y., and Wyss, U., 2006, “Mechanics of the passive knee joint. Part 1: The Role of the tibial articular surfaces in guiding the passive motion, ”*Proceedings of the Institution of Mechanical Engineers, Part H, Journal of Engineering in Medicine*, 220, pp. 813-822.

[6] Kim, I. Y. and de Weck, O., 2006, “Adaptive weighted sum method for multiobjective optimization: a new method for Pareto front generation”, *Structural and Multidisciplinary Optimization*, 31, pp. 105-116.

[5] Kim, I. Y. and de Weck, O., 2005, “Variable Chromosome Length Genetic Algorithm for Progressive Refinement in Topology Optimization,” *Structural and Multidisciplinary Optimization*, 29, pp. 445-456.

[4] Kim, I. Y. and de Weck, O., 2005, “Adaptive weighted-sum method for bi-objective optimization: Pareto front generation,” *Structural and Multidisciplinary Optimization*, 29, pp. 149-158.

[3] Kim, I. Y. and Tezuka, A., 2003, “Optimization and numerical flow analysis of a valveless micropump,” *JSME International Journal Series C: Mechanical Systems, Machine Elements and Manufacturing*, 46(2), pp. 772-778.

[2] Kim, I. Y. and Kwak, B. M., 2002, “Design space optimization using a numerical design continuation method,” *International Journal for Numerical Methods in Engineering*, 53(8), pp. 1979-2002.

[1] Kim, I. Y., Kwak, B.M., Jeon, Y. J., and Choi, S. S., 1998, “Blurring effect analysis of an X-ray mask for synchrotron radiation lithography,” *Journal of Vacuum Science and Technology B*, 16(4), pp. 1992-1997.