Luis Espath

Contact

• workRoom C45c Mathematical Sciences
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 7486790
• Luis.Espath@nottingham.ac.uk

Biography

Dr. Espath obtained his Engineering Diploma in 2007 at PUCRS, Brazil. He completed a Master and Doctorate at UFRGS, Brazil in 2013. Dr. Espath was appointed postdoctoral fellow at KAUST, until 2019. Subsequently, he assumed the role of Research Scientist at RWTH Aachen, Germany until 2021. At RWTH Aachen, Dr. Espath obtained his Habilitation in Mathematics, in the field of Theoretical Mechanics, from which he published a Springer Nature book 'Mechanics & Geometry of Enriched Continua'.

Research Summary

Dr. Espath's interests are Applied Mathematics, Theoretical and Computational Mechanics, and Uncertainty Quantification including Stochastic Optimization and Machine Learning.

Recent Publications

• CLAVIJO, SANTIAGO P., ESPATH, LUIS and CALO, VICTOR M., 2021. Extended Larche-Cahn framework for reactive Cahn-Hilliard multicomponent systems CONTINUUM MECHANICS AND THERMODYNAMICS. 33(6), 2391-2410
• CLAVIJO, SANTIAGO P., ESPATH, LUIS, SARMIENTO, ADEL and CALO, VICTOR M., 2021. A continuum theory for mineral solid solutions undergoing chemo-mechanical processes CONTINUUM MECHANICS AND THERMODYNAMICS.
• ESPATH, LUIS and CALO, VICTOR, 2021. Phase-field gradient theory ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 72(2),
• ESPATH, LUIS, 2021. On the control volume arbitrariness in the Navier-Stokes equation PHYSICS OF FLUIDS. 33(1),

• View all publications

• CLAVIJO, SANTIAGO P., ESPATH, LUIS and CALO, VICTOR M., 2021. Extended Larche-Cahn framework for reactive Cahn-Hilliard multicomponent systems CONTINUUM MECHANICS AND THERMODYNAMICS. 33(6), 2391-2410
• CLAVIJO, SANTIAGO P., ESPATH, LUIS, SARMIENTO, ADEL and CALO, VICTOR M., 2021. A continuum theory for mineral solid solutions undergoing chemo-mechanical processes CONTINUUM MECHANICS AND THERMODYNAMICS.
• ESPATH, LUIS and CALO, VICTOR, 2021. Phase-field gradient theory ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 72(2),
• ESPATH, LUIS, 2021. On the control volume arbitrariness in the Navier-Stokes equation PHYSICS OF FLUIDS. 33(1),
• ESPATH, LUIS, KABANOV, DMITRY, KIESSLING, JONAS and TEMPONE, RAUL, 2021. Statistical learning for fluid flows: Sparse Fourier divergence-free approximations PHYSICS OF FLUIDS. 33(9),
• ESPATH, LUIS, CALO, VICTOR M. and FRIED, ELIOT, 2020. Generalized Swift-Hohenberg and phase-field-crystal equations based on a second-gradient phase-field theory MECCANICA. 55(10), 1853-1868
• BECK, JOAKIM, DIA, BEN MANSOUR, ESPATH, LUIS and TEMPONE, RAUL, 2020. Multilevel double loop Monte Carlo and stochastic collocation methods with importance sampling for Bayesian optimal experimental design INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 121(15), 3482-3503
• CARLON, ANDRE GUSTAVO, DIA, BEN MANSOUR, ESPATH, LUIS, LOPEZ, RAFAEL HOLDORF and TEMPONE, RAUL, 2020. Nesterov-aided stochastic gradient methods using Laplace approximation for Bayesian design optimization COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 363,
• TONON, PATRICIA, TONIN, MATEUS GUIMARAES, ESPATH, LUIS FELIPE and BRAUN, ALEXANDRE LUIS, 2020. A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES. 17(1),
• TONON, PATRICIA, TONIN, MATEUS GUIMARAES, ESPATH, LUIS FELIPE and BRAUN, ALEXANDRE LUIS, 2020. A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies Figshare.
• CARLON, A. G., LOPEZ, R. H., ESPATH, L. F. R., MIGUEL, L. F. F. and BECK, A. T., 2019. A stochastic gradient approach for the reliability maximization of passively controlled structures ENGINEERING STRUCTURES. 186, 1-12
• CLAVIJO, S. P., SARMIENTO, A. F., ESPATH, L. F. R., DALCIN, L., CORTES, A. M. A. and CALO, V. M., 2019. Reactive n-species Cahn-Hilliard system: A thermodynamically-consistent model for reversible chemical reactions JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 350, 143-154
• SARMIENTO, A. F., ESPATH, L. F. R., VIGNAL, P., DALCIN, L., PARSANI, M. and CALO, V. M., 2018. An energy-stable generalized-alpha method for the Swift-Hohenberg equation JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 344, 836-851
• BECK, JOAKIM, DIA, BEN MANSOUR, ESPATH, LUIS F. R., LONG, QUAN and TEMPONE, RAUL, 2018. Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 334, 523-553
• FRANCISCO, E. P., ESPATH, L. F. R., LAIZET, S. and SILVESTRINI, J. H., 2018. Reynolds number and settling velocity influence for finite-release particle-laden gravity currents in a basin COMPUTERS & GEOSCIENCES. 110, 1-9
• ESPATH, L. F. R., SARMIENTO, A. F., DALCIN, L. and CALO, V. M., 2017. On the thermodynamics of the Swift-Hohenberg theory CONTINUUM MECHANICS AND THERMODYNAMICS. 29(6), 1335-1345
• FRANCISCO, EZEQUIEL P., ESPATH, L. F. R. and SILVESTRINI, J. H., 2017. Direct numerical simulation of bi-disperse particle-laden gravity currents in the channel configuration APPLIED MATHEMATICAL MODELLING. 49, 739-752
• ESPATH, L. F. R., SARMIENTO, A. F., VIGNAL, P., VARGA, B. O. N., CORTES, A. M. A., DALCIN, L. and CALO, V. M., 2016. Energy exchange analysis in droplet dynamics via the Navier-Stokes-Cahn-Hilliard model JOURNAL OF FLUID MECHANICS. 797, 389-430
• ESPATH, L. F. R., BRAUN, A. L., AWRUCH, A. M. and DALCIN, L. D., 2015. A NURBS-based finite element model applied to geometrically nonlinear elastodynamics using a corotational approach INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 102(13), 1839-1868
• ESPATH, L. F. R., PINTO, L. C., LAIZET, S. and SILVESTRINI, J. H., 2015. High-fidelity simulations of the lobe-and-cleft structures and the deposition map in particle-driven gravity currents PHYSICS OF FLUIDS. 27(5),
• ESPATH, L. F. R., BRAUN, A. L., AWRUCH, A. M. and MAGHOUS, S., 2014. NURBS-based three-dimensional analysis of geometrically nonlinear elastic structures EUROPEAN JOURNAL OF MECHANICS A-SOLIDS. 47, 373-390
• LINN, R. V., ESPATH, L. F. R. and AWRUCH, A. M., 2014. Optimal shape of axisymmetric solids using NURBS and automatic differentiation APPLIED MATHEMATICAL MODELLING. 38(4), 1385-1402
• ESPATH, L. F. R., PINTO, L. C., LAIZET, S. and SILVESTRINI, J. H., 2014. Two- and three-dimensional Direct Numerical Simulation of particle-laden gravity currents COMPUTERS & GEOSCIENCES. 63, 9-16
• ESPATH, L. F. R., LINN, R. V. and AWRUCH, A. M., 2011. Shape optimization of shell structures based on NURBS description using automatic differentiation INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 88(7), 613-636