My publications in Google Scholar.
I have been honoured by the editorial board of Computational Optimization and Applications (COAP) with the
Best Paper Award 2017
, for my paper "A Preconditioned Descent Algorithm for Variational Inequalities of the Second Kind Involving the p-Laplacian Operator".
- P. Castro, J.C. De los Reyes, S. González-Andrade y Pedro Merino. Estimación de Parámetros para un Modelo del SARS-CoV-2 en Ecuador en Presencia de Incertidumbre. To appear in Revista Politécnica.
- S. González-Andrade. A BDF2-Semismooth Newton Algorithm for the Numerical Solution of the Bingham Flow with Temperature Dependent Parameters . Journal of Non-Newtonian Fluid Mechanics, 284 (2020) 104380. DOI: 10.1016/j.jnnfm.2020.104380 (preprint at arXiv).
- S. González-Andrade. A Semismooth Newton Solution of the Steady-State non-Isothermal Bingham Flow with Temperature Dependent Nonlocal Parameters. To appear in Numerical Mathematics and Advanced Applications-Proceedings of ENUMATH 2019 conference.
- S. González-Andrade and S. López. A Multigrid Optimization Algorithm for the Numerical Solution of Quasilinear Variational Inequalities Involving the p-Laplacian. Computers and Mathematics with Applications, 75 (2018) 1107-1127. DOI: 10.1016/j.camwa.2017.10.027 (preprint at arXiv)
- S. González-Andrade. A Preconditioned Descent Algorithm for Variational Inequalities of the Second Kind Involving the p-Laplacian Operator. Computational Optimization and Applications, 66 (2017) 123-162. DOI: 10.1007/s10589-016-9861-x. (download pdf or preprint at arXiv).
- A. Borzì and S. González Andrade. Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems. Advances in Computational Mathematics, 41 (2015) 457 - 488. DOI: 10.1007/s10444-014-9369-9. (download pdf ).
- J. C. De los Reyes and S. González-Andrade. Numerical simulation of thermally convective viscoplastic fluids by semismooth second order type methods. Journal of Non-Newtonian Fluid Mechanics, 193 (2013) 43 - 48. DOI: 10.1016/j.jnnfm.2012.06.001. ( preprint pdf ).
- A. Borzì and S. González Andrade. Multigrid second-order accurate solution of parabolic control-constrained problems. Computational Optimization and Applications, 51 (2012) 835 - 866. DOI: 10.1007/s10589-010-9358-y. ( download pdf ).
- J. C. De los Reyes and S. González Andrade. A Combined BDF-Semismooth Newton Approach for Time-Dependent Bingham Flow. Numerical Methods for Partial Differential Equations, 28 (2012) 834 - 860. DOI: 10.1002/num.20658. ( download pdf ).
- A. Borzì and S. González Andrade. Multigrid Solution of a Lavrentiev-Regularized State-Constrained Parabolic Control Problem . Numerical Mathematics: Theory, Methods and Applications, 5 (2012) 1 -18. DOI: 10.4208/nmtma.2011.m12si01. (download pdf )
- J. C. De los Reyes and S. González Andrade. Numerical Simulation of Two-Dimensional Bingham Fluid Flow by Semismooth Newton Methods. Journal of Computational and Applied Mathematics 235 (2010) 11 - 32. DOI: 10.1016/j.cam.2010.02.026. ( download pdf).
- J. C. De los Reyes and S. González. Path Following Methods for Steady Laminar Bingham Flow in Cylindircal Pipes. ESAIM:M2AN, 43 (2009) 81 -117. DOI: 10.1051/m2an/2008039. ( download pdf ).
Submitted Papers
- S. González-Andrade, S. López-Ordóñez and P. Merino. Nonsmooth exact penalization second-order methods for incompressible Bingham flows.
Theses
- Semismooth Newton and Path-Following Methods for the Numerical Simulation of Bingham Fluids. PhD Thesis, August, 2008.
Advisor: Prof. Dr. Juan Carlos De los Reyes.
Reviewers: Prof. Dr. Fredi Tröltzsch (TU-Berlin) and Prof. Dr. Georg Stadler (Courant Institute - NYU).
- Existencia de soluciones para un problema con parte no lineal discontinua y operador asociado de tipo p-Laplaciano. Diplom Thesis, April, 2004.
Other Publications
- F. Flores y S. González. Simulación numérica del modelo de excitación cardíaca de Aliev-Panfilov con métodos multimalla. Revista Politécnica, 32 (2013) 20 - 38.
- J. C. De los Reyes and S. González. Flow of Bingham fluids in a bounded channel. Reports of the Second Latin American Congress of Mathematics Students, EXPRIME2008 (San Luis Potosí, México), 2008.
- S. González y P. Merino. Matemáticas para el Corazón. Boletín de la Sociedad Ecuatoriana de Matemática. Enero-Febrero, 2011.