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2022 Journal Article Explaining the competition between strength and toughness in perforated plates using computational finite fracture mechanicsWegert, Zachary J., Challis, Vivien J., Grotowski, Joseph F. and Roberts, Anthony P. (2022). Explaining the competition between strength and toughness in perforated plates using computational finite fracture mechanics. Theoretical and Applied Fracture Mechanics, 122 103615, 1-12. doi: 10.1016/j.tafmec.2022.103615 |
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2019 Journal Article Weak martingale solutions to the stochastic Landau–Lifshitz–Gilbert equation with multi-dimensional noise via a convergent finite-element schemeGoldys, Beniamin, Grotowski, Joseph F. and Le, Kim-Ngan (2019). Weak martingale solutions to the stochastic Landau–Lifshitz–Gilbert equation with multi-dimensional noise via a convergent finite-element scheme. Stochastic Processes and their Applications, 130 (1), 232-261. doi: 10.1016/j.spa.2019.02.011 |
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2014 Journal Article High specific strength and stiffness structures produced using selective laser meltingChallis, Vivien J., Xu, Xiaoxue, Zhang, Lai Chang, Roberts, Anthony P., Grotowski, Joseph F. and Sercombe, Timothy B. (2014). High specific strength and stiffness structures produced using selective laser melting. Materials & Design, 63, 783-788. doi: 10.1016/j.matdes.2014.05.064 |
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2014 Journal Article High resolution topology optimization using graphics processing units (GPUs)Challis, Vivien J., Roberts, Anthony P. and Grotowski, Joseph F. (2014). High resolution topology optimization using graphics processing units (GPUs). Structural and Multidisciplinary Optimization, 49 (2), 315-325. doi: 10.1007/s00158-013-0980-z |
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2012 Journal Article Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimizationChallis, Vivien J., Guest, James K., Grotowski, Joseph F. and Roberts, Anthony P. (2012). Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimization. International Journal of Solids And Structures, 49 (23-24), 3397-3408. doi: 10.1016/j.ijsolstr.2012.07.019 |
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2011 Journal Article Elastic moduli of sintered powders with application to components fabricated using selective laser meltingRoberts, A. P., Grayson, G., Challis, V. J., Zhang, L. C., Grotowski, J. F., Schaffer, G. B. and Sercombe, T. B. (2011). Elastic moduli of sintered powders with application to components fabricated using selective laser melting. Acta Materialia, 59 (13), 5257-5265. doi: 10.1016/j.actamat.2011.05.002 |
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2011 Journal Article On radial solutions of the Schrodinger type equationChabrowski, Jan H. and Grotowski, Joseph F. (2011). On radial solutions of the Schrodinger type equation. Advanced Nonlinear Studies, 11 (2), 295-310. doi: 10.1515/ans-2011-0204 |
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2010 Journal Article Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabricationChallis, VJ, Roberts, AP, Grotowski, JF, Zhang, LC and Sercombe, TB (2010). Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabrication. Advanced Engineering Materials, 12 (11), 1106-1110. doi: 10.1002/adem.201000154 |
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2010 Journal Article Kernel density estimation via diffusionBotev, Z. I., Grotowski, J. F. and Kroese, D. P. (2010). Kernel density estimation via diffusion. Annals of Statistics, 38 (5), 2916-2957. doi: 10.1214/10-AOS799 |
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2010 Journal Article The influence of non-coaxiality on shear banding in viscous-plastic materialsMuhlhaus, Hans, Moresi, Louis, Gross, Lutz and Grotowski, Joseph (2010). The influence of non-coaxiality on shear banding in viscous-plastic materials. Granular Matter, 12 (3), 229-238. doi: 10.1007/s10035-010-0176-9 |
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2007 Journal Article Geometric evolution equations in critical dimensionsGrotowski, J. F. and Shatah, J. (2007). Geometric evolution equations in critical dimensions. Calculus of Variations and Partial Differential Equations, 30 (4), 499-512. doi: 10.1007/s00526-007-0100-2 |
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2006 Journal Article Heat kernels in geometric evolution equationsGrotowski, Joseph F. (2006). Heat kernels in geometric evolution equations. Contemporary Mathematics, 398, 193-201. |
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2005 Journal Article Removable singularities for p-harmonic maps: The subquadratic caseGastel, Andreas, Grotowski, Joseph F. and Kronz, Manfred (2005). Removable singularities for p-harmonic maps: The subquadratic case. Advances in Geometry, 5 (3), 469-483. doi: 10.1515/advg.2005.5.3.469 |
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2005 Journal Article Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growthDuzaar, Frank, Grotowski, Joseph F. and Kronz, Manfred (2005). Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth. Annali Di Matematica Pura Ed Applicata, 184 (4), 421-448. doi: 10.1007/s10231-004-0117-5 |
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2004 Journal Article Minimizing conformal energies in homotopy classesGrotowski, Joseph F. and Kronz, Manfred (2004). Minimizing conformal energies in homotopy classes. Forum Mathematicum, 16 (6), 841-864. doi: 10.1515/form.2004.16.6.841 |
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2004 Journal Article Partial and full boundary regularity for minimizers of functionals with nonquadratic growthDuzaar, Frank, Grotowski, Joseph F. and Kronz, Manfred (2004). Partial and full boundary regularity for minimizers of functionals with nonquadratic growth. Journal of Convex Analysis, 11 (2), 437-476. |
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2004 Journal Article Book Review : Harmonic maps, conservation laws and moving frames / F. HeleinGrotowski, Joseph (2004). Book Review : Harmonic maps, conservation laws and moving frames / F. Helein. Jahresbericht der Deutschen Mathematiker-Vereinigung (196), 3-5. |
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2002 Journal Article Boundary regularity for nonlinear elliptic systemsGrotowski, J. F. (2002). Boundary regularity for nonlinear elliptic systems. Calculus of Variations And Partial Differential Equations, 15 (3), 353-388. doi: 10.1007/s005260100131 |
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2002 Journal Article Boundary Regularity for quasilinear elliptic systemsGrotowski, Joseph F. (2002). Boundary Regularity for quasilinear elliptic systems. Communications In Partial Differential Equations, 27 (11-12), 2491-2512. doi: 10.1081/PDE-120016165 |
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2001 Journal Article Asymptotic behavior of, small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfacesGrotowski, J. F., Huntley, J. and Jorgenson, J. (2001). Asymptotic behavior of, small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfaces. Forum Mathematicum, 13 (6), 729-740. doi: 10.1515/form.2001.031 |
