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Publications

  1. Publications in International Refereed Journals
  2. Preprints
  3. Publications in Refereed Collections
  4. Publications in Refereed Book Chapters
  5. Refereed Conference Contributions
  6. Selected Unrefereed Conference Contributions and Talks
  7. Technical reports

Publications in International Refereed Journals

  1. D. R. Lee, A. F. Martín, K. Ricardo. Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering, 2024. Accepted for publication in Quarterly Journal of the Royal Meteorological Society. Available as ArXiv pre-print at: https://arxiv.org/abs/2403.04095

  2. J. Manyer, A. F. Martín, S.Badia. GridapSolvers.jl: Scalable multiphysics finite element solvers in Julia. Journal of Open Source Software, 9(102), 7162, 2024. DOI: 10.21105/joss.07162

  3. D. R. Lee, A. F. Martín, C. Badwell, and S. Badia. A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations in space and time. Computers & Mathematics with Applications. 165, 2024. DOI: 10.1016/j.camwa.2024.04.016

  4. S. Badia, W. Li, A. F. Martín. Finite element interpolated neural networks for solving forward and inverse problems. Computer Methods in Applied Mechanics and Engineering, 418(A), 116505, 2023. DOI: 10.1016/j.cma.2023.116505

  5. S. Badia, M. Hornkjøl, A. Khan, K.-A. Mardal, A. F. Martín, R. Ruiz-Baier. Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. Computers & Mathematics with Applications. 157, 2024. DOI: 10.1016/j.camwa.2023.12.038 –CODE–

  6. R. Caraballo, C. W. In, A. F. Martín, R. Ruiz-Baier. Robust finite element methods and solvers for the Biot–Brinkman equations in vorticity form, 2023. Numerical Methods for Partial Differential Equations. November, 2023. DOI: 10.1002/num.23083 –CODE–

  7. S. Badia, A. F. Martín, and F. Verdugo. GridapDistributed: a massively parallel finite element toolbox in Julia. Journal of Open Source Software, 7(74), 4157, 2022. DOI: 10.21105/joss.04157

  8. S. Badia, M. Caicedo, A. F. Martín, and J. Principe. A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics. Computer Methods in Applied Mechanics and Engineering, 386, 2021. DOI: 10.1016/j.cma.2021.114093

  9. S. Badia, A. F. Martín, E. Neiva, and F. Verdugo. The aggregated unfitted finite element method on parallel tree-based adaptive meshes. SIAM Journal on Scientific Computing, 43(3):C203–C234, 2021. DOI: 10.1137/20M1344512

  10. E. Neiva, M. Chiumenti, M. Cervera, E. Salsi, G. Piscopo, S. Badia, A. F. Martín, Z. Chen, C. Lee, and C. Davies. Numerical modelling of heat transfer and experimental validation in powder-bed fusion with the virtual domain approximation. Finite Elements in Analysis and Design, 168, 2020. DOI: 10.1016/j.finel.2019.103343

  11. S. Badia and A. F. Martín. A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0. Computer Physics Communications, page 107059, 2020. DOI: 10.1016/j.cpc.2019.107059

  12. S. Badia, A. F. Martín, E. Neiva, and F. Verdugo. A Generic Finite Element Framework on Parallel Tree-Based Adaptive Meshes. SIAM Journal on Scientific Computing, 42(6):C436–C468, 2020. DOI: 10.1137/20M1328786

  13. F. Verdugo, A. F. Martín, and S. Badia. Distributed-memory parallelization of the aggregated unfitted finite element method. Computer Methods in Applied Mechanics and Engineering, 357:112583, 2019. DOI: 10.1016/j.cma.2019.112583

  14. E. Neiva, S. Badia, A. F. Martín, and M. Chiumenti. A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing. International Journal for Numerical Methods in Engineering, 119(11):1098–1125, 2019. DOI: 10.1002/nme.6085

  15. S. Badia, A. F. Martín, and M. Olm. Scalable solvers for complex electromagnetics problems. Finite Elements in Analysis and Design, 161:16–31, 2019. DOI: 10.1016/J.FINEL.2019.04.003

  16. M. Olm, S. Badia, and A. F. Martín. On a general implementation of h- and p-adaptive curl-conforming finite elements. Advances in Engineering Software, 132:74–91, 2019. DOI: 10.1016/J.ADVENGSOFT.2019.03.006

  17. S. Badia, A. F. Martín, and H. Nguyen. Balancing domain decomposition by constraints associated with subobjects. Applied Mathematics Letters, 87:93–100, 2019. DOI: 10.1016/j.aml.2018.07.033

  18. S. Badia, A. F. Martín, and H. Nguyen. Physics-based balancing domain decomposition by constraints for multi-material problems. Journal of Scientific Computing, 2019. DOI: 10.1007/s10915-018-0870-z

  19. M. Olm, S. Badia, and A. F. Martín. Simulation of high temperature superconductors and experimental validation. Comput. Phys. Commun., 237:154–167, 2019. DOI: 10.1016/j.cpc.2018.11.021

  20. S. Badia, A. F. Martín, and F. Verdugo. Mixed aggregated finite element methods for the unfitted discretization of the Stokes problem. SIAM Journal on Scientific computing, 40(6):B1541–B1576, 2018. DOI: 10.1137/18M1185624

  21. S. Badia, F. Verdugo, and A. F. Martín. The aggregated unfitted finite element method for el.liptic problems. Computer Methods in Applied Mechanics and Engineering, 336:533–553, 2018. DOI: 10.1016/J.CMA.2018.03.022

  22. S. Badia, A. F. Martín, and J. Principe. FEMPAR: An Object-Oriented Parallel Finite Element Frame-work. Archives of Computational Methods in Engineering, 25(2):195–271, 2018. DOI: 10.1007/s11831-017-9244-1

  23. S. Badia, A. F. Martín, and J. Principe. Multilevel Balancing Domain Decomposition at Extreme Scales. SIAM Journal on Scientific Computing, 38(1):C22—-C52, 2016. DOI: 10.1137/15M1013511

  24. S. Badia, A. F. Martín, and J. Principe. On the scalability of inexact balancing domain decomposition by constraints with overlapped coarse/fine corrections. Parallel Computing, 50:1–24, 2015. DOI: 10.1016/j.parco.2015.09.004

  25. S. Badia, A. F. Martín, and J. Principe. A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints. SIAM Journal on Scientific Computing, 36(2):C190–C218, 2014. DOI: 10.1137/130931989

  26. J. I. Aliaga, M. Barreda, M. F. Dolz, A. F. Martín, R. Mayo, and E. S. Quintana-Ortí. Assessing the impact of the CPU power-saving modes on the task-parallel solution of sparse linear systems. Cluster Computing, 17(4):1335–1348, 2014. DOI: 10.1007/s10586-014-0402-z

  27. S. Badia, A. F. Martín, and R. Planas. Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem. Journal of Computational Physics, 274:562–591, 2014. DOI: 10.1016/j.jcp.2014.06.028

  28. A. F. Martín, R. Reyes, R. M. Badia, and E. S. Quintana-Ortí. Leveraging task-parallelism in message-passing dense matrix factorizations using SMPSs. Parallel Computing, 40(5-6):113–128, 2014. DOI: 10.1016/j.parco.2014.04.001

  29. S. Badia, A. F. Martín, and J. Principe. Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics. International Journal for Numerical Methods in Engineering, 96(4):203–230, 2013. DOI: 10.1002/nme.4541

  30. S. Badia, A. F. Martín, and J. Principe. Implementation and Scalability Analysis of Balancing Domain Decomposition Methods. Archives of Computational Methods in Engineering, 20(3):239–262, 2013. DOI: 10.1007/s11831-013-9086-4

  31. J. I. Aliaga, M. Bollhoefer, A. F. Martín, and E. S. Quintana-Ortí. Exploiting thread-level parallelism in the iterative solution of sparse linear systems. Parallel Computing, 37(3):183–202, 2011. DOI: 10.1016/j.parco.2010.11.002

Preprints

  1. S. Badia, W. Li, A. F. Martín. Adaptive Finite Element Interpolated Neural Networks, 2024. Submitted. Available as ArXiv pre-print at: https://arxiv.org/abs/2403.14054

  2. S. Badia, W. Li, A. F. Martín. Compatible finite element interpolated neural networks, 2024. Submitted. Available as ArXiv pre-print at: https://www.arxiv.org/abs/2411.04591

Publications in Refereed Collections

  1. M. Bollhoefer, J. I. Aliaga, A. F. Martín, and E. S. Quintana-Ortí. ILUPACK. In D. A. Padua, editor, Encyclopedia of Parallel Computing, pages 917–926. Springer, 2011. DOI: 10.1007/978-0-387-09766-4_513

Publications in Refereed Book Chapters

  1. J. I. Aliaga, M. F. Dolz, A. F. Martín, R. Mayo, and E. S. Quintana-Ortí. Leveraring Task-Parallelism in Energy-Efficient ILU Preconditioners. In ICT as Key Technology against Global Warming, ICT GLOW 2012, Vienna, Austria, volume 7453 of Lecture Notes in Computer Science, pages 55–63. Springer, 2012. DOI: 10.1007/978-3-642-32606-6 5

  2. R. M. Badia, J. Labarta, V. Marjanovic, A. F. Martín, R. Mayo, E. S. Quintana-Ortí, and R. Reyes. Symmetric Rank-k Update on Clusters of Multicore Processors with SMPSs. In Applications, Tools and Techniques on the Road to Exascale Computing, volume 22 of Advances in Parallel Computing, pages 657–664. IOS Press, 2012. DOI: 10.3233/978-1-61499-041-3-657

  3. J. I. Aliaga, M. Bollhoefer, A. F. Martín, and E. S. Quintana-Ortí. Parallelization of Multilevel ILU Preconditioners on Distributed-Memory Multiprocessors. In Proc. of PARA 2010: State-of-the-Art in Scientific and Parallel Computing, Reykjavík, Iceland, Part I, volume 7133 of Lecture Notes in Computer Science, pages 162–172. Springer, 2012. DOI: 10.1007/978-3-642-28151-8 16

  4. J. I. Aliaga, M. Bollhoefer, A. F. Martín, and E. S. Quintana-Ortí. Evaluation of Parallel Sparse Matrix Partitioning Software for Parallel Multilevel ILU Preconditioning on Shared-Memory Multiprocessors. In Parallel Computing: From Multicores and GPU’s to Petascale, volume 19 of Advances in Parallel Computing, pages 125–132. IOS Press, 2009. DOI: 10.3233/978-1-60750-530-3-125

  5. J. I. Aliaga, M. Bollhoefer, A. F. Martín, and E. S. Quintana-Ortí. Design, Tuning and Evaluation of Parallel Multilevel ILU Preconditioners. In High Performance Computing for Computational Science - VECPAR 2008, Toulouse, France, volume 5336 of Lecture Notes in Computer Science, pages 314–327. Springer, 2008. DOI: 10.1007/978-3-540-92859-1 28

  6. J. I. Aliaga, M. Bollhoefer, A. F. Martín, and E. S. Quintana-Ortí. Parallelization of Multilevel Preconditioners Constructed from Inverse-Based ILUs on Shared-Memory Multiprocessors. In Parallel Computing: Architectures, Algorithms and Applications, ParCo 2007, Forschungszentrum Jülich and RWTH Aachen University, Germany, 4-7 September 2007, volume 15 of Advances in Parallel Computing, pages 287–294. IOS Press, 2008

Refereed Conference Contributions

  1. M. J. Zafont, A. F. Martín, F. D. Igual, and E. S. Quintana. Fast Development of Dense Linear Algebra Codes on Graphic Processors. In 23rd IEEE International Parallel & Distributed Processing Symposium, pages 1–8 (CD–ROM). IEEE Computer Society, 2009. DOI: 10.1109/IPDPS.2009.5160940. IPDPS 2009, Rome (Italy)

  2. V. Galiano, A. F. Martín, H. Migallón, V. Migallón, J. Penadés, and E. S. Quintana. PyPLiC: A high-level interface to the parallel model reduction library PLiCMR. In 11th International Conference on Civil, Structural and Environmental Engineering Computing, pages 1–13 (CD–ROM). Civil-Comp Press, 2007. DOI: 10.4203/ccp.86.62. CIVIL-COMP’07, St. Julians (Malta)

Selected Unrefereed Conference Contributions and Talks

  1. S. Badia, A. F. Martín, and F. Verdugo. Large scale unfitted finite elements for fluid and solid mechanics problems. SIAM Conference on Computational Science and Engineering, Spokane (USA), 2019

  2. M. Olm, S. Badia, and A. F. Martín. BDDC methods for the simulation of high temperature superconductors. In 13th World Congress on Computational Mechanics (WCCM XIII), 2018. New York (USA)

  3. F. Verdugo, S. Badia, and A. F. Martín. Unfitted solution of the Stokes problem using aggregation based finite elements. In 6th European Conference on Computational Mechanics (ECCM 6), 7th European Conference on Computational Fluid Dynamics (ECFD 7), 2018. Glasgow (UK)

  4. S. Badia, F. Verdugo, and A. F. Martín. Aggregated unfitted finite element methods for large scale simulations on octree meshes. In 13th World Congress on Computational Mechanics (WCCM XIII),2018. New York (USA)

  5. E. Neiva, S. Badia, M. Chiumenti, A. F. Martín, and F. Verdugo. FEMPAR-AM: a parallel finite element framework for the simulation of metal additive manufacturing. In AM-Bench 2018: Additive Manufacturing Benchmarks, 2018. Maryland (USA)

  6. S. Badia, M. Chiumenti, A. F. Martín, and E. Neiva. Parallel finite-element analysis of heat transfer in am processes by metal deposition. In 1st ECCOMAS Thematic Conference on Simulation for Additive Manufacturing, 2017. Munich (Germany)

  7. S. Badia and A. F. Martín. An advanced OO software framework for the development of MLBDDC preconditioners. DD XXIV-International Conference on Domain Decomposition Methods, Svalbard (Norway), 2017

  8. S. Badia, O. Colomés, P. Kus, A. F. Martín, M. Olm, and J. Principe. On a scalable multiphysics finite element framework. 1st. Pan-American Congress on Computational Mechanics-PANACM2015, Buenos Aires (Argentina), 2015

  9. A. F. A. F. Martín, S. Badia, and J. Principe. Multilevel balancing domain decomposition at extreme scales. International Conference on Preconditioning Techniques for Scientific and Industrial Applications Preconditioning’2015, Eindhoven (The Netherlands), 2015

  10. A. F. A. F. Martín and S. Badia. On the scalability of BDDC-based fast parallel iterative solvers for the discrete Stokes problem with continuous pressures. 11th World Congress on Computational Mechanics WCCM 2014, Barcelona (Spain), 2014

  11. R. Planas, S. Badia, and A. F. Martín. Recursive block preconditioners for multiphysics problems: application to incompressible MHD. 11th World Congress on Computational Mechanics-WCCM 2014, Barcelona (Spain), 2014

  12. A. F. Martín, S. Badia, and J. Principe. A highly scalable parallel implementation of balancing domain decomposition by constraints. International Conference on Preconditioning Techniques for Scientific and Industrial Applications-Preconditioning’2013, Oxford (UK), 2013

  13. S. Badia, O. Colomés, A. F. Martín, and J. Principe. Substructuring domain decomposition algorithms for parallel fluid-structure interaction simulations, . 6th European Congress on Computational Methods in Applied Sciences and Engineering-ECCOMAS’2012, Vienna (Austria), 2012

  14. S. Badia, A. F. Martín, and J. Principe. Hybrid parallel solvers for the finiteelement approximation of PDEs, . 10th World Congress on Computational Mechanics-WCCM 2012, Sao Paulo (Brazil)

Technical reports

  1. A. F. Martín, S. Badia, and J. Principe. FEMPAR: Scaling Multi-Level Domain Decomposition up to the full JUQUEEN supercomputer (contributed chapter). Technical Report FZJ-2015-01645, Jülich Supercomputing Center, 2015

CC BY-SA 4.0 Alberto F Martín. Last modified: November 13, 2024. Website built with Franklin.jl and the Julia programming language.