Anders Logg

Professor of Computational Mathematics at Chalmers University of Technology

Publications


[CV]   [Genealogy]   [Google Scholar]   [ORCID]   [arXiv]

    Articles in International Journals

    1. Multi-Adaptive Galerkin Methods for ODEs I
      A. Logg
      SIAM J. Sci. Comput., vol. 24, pp. 1879—1902, 2003, [DOI], [arXiv]
    2. Multi-Adaptive Galerkin Methods for ODEs II: Implementation and Applications
      A. Logg
      SIAM J. Sci. Comput., vol. 25, pp. 1119—1141, 2003, [DOI], [arXiv]
    3. Explicit Time-Stepping for Stiff ODEs
      K. Eriksson, C. Johnson and A. Logg
      SIAM J. Sci. Comput., vol. 25, pp. 1142—1157, 2003, [DOI], [arXiv]
    4. Multi-Adaptive Time-Integration
      A. Logg
      Applied Numerical Mathematics, vol. 48, pp. 339—354, 2004, [DOI], [arXiv]
    5. Computational Modeling of Dynamical Systems
      J. Jansson, C. Johnson and A. Logg
      Mathematical Models and Methods in Applied Sciences, vol. 15, pp. 471—481, 2005, [DOI], [arXiv]
    6. Optimizing the Evaluation of Finite Element Matrices
      R. C. Kirby, M. G. Knepley, A. Logg and L. R. Scott
      SIAM J. Sci. Comput., vol. 27, pp. 741—758, 2005, [DOI], [arXiv]
    7. Multi-Adaptive Galerkin Methods for ODEs III: A Priori Error Estimates
      A. Logg
      SIAM Journal on Numerical Analysis, vol. 43, pp. 2624—2646, 2006, [DOI], [arXiv]
    8. A Compiler for Variational Forms
      R. C. Kirby and A. Logg
      ACM Transactions on Mathematical Software, vol. 32, pp. 417—444, 2006, [DOI], [arXiv]
    9. Topological Optimization of the Evaluation of Finite Element Matrices
      R. C. Kirby, A. Logg, L. R. Scott and A. R. Terrel
      SIAM J. Sci. Comput., vol. 28, pp. 224—240, 2006, [DOI], [arXiv]
    10. Efficient Compilation of a Class of Variational Forms
      R. C. Kirby and A. Logg
      ACM Transactions on Mathematical Software, vol. 33, 2007, [DOI], [arXiv]
    11. Automating the Finite Element Method
      A. Logg
      Archives of Computational Methods in Engineering, vol. 14, pp. 93—138, 2007, [DOI], [arXiv]
    12. Algorithms and Data Structures for Multi-Adaptive Time-Stepping
      J. Jansson and A. Logg
      ACM Trans. Math. Software, vol. 35, pp. 1—24, 2008, [DOI], [arXiv]
    13. Benchmarking Domain-Specific Compiler Optimizations for Variational Forms
      R. C. Kirby and A. Logg
      ACM Transactions on Mathematical Software, vol. 35, pp. 1—18, 2008, [DOI], [arXiv]
    14. Automated Code Generation for Discontinuous Galerkin Methods
      K. B. Oelgaard, A. Logg and G. N. Wells
      SIAM J. Sci. Comput., vol. 31, pp. 849—864, 2008, [DOI], [arXiv]
    15. Unified Framework for Finite Element Assembly
      M. S. Alnaes, A. Logg, K.-A. Mardal, O. Skavhaug and H. P. Langtangen
      International Journal of Computational Science and Engineering, vol. 4, pp. 231—244, 2009, [DOI], [arXiv]
    16. Efficient Representation of Computational Meshes
      A. Logg
      International Journal of Computational Science and Engineering, vol. 4, pp. 283—295, 2009, [DOI], [arXiv]
    17. Efficient Assembly of H(div) and H(curl) Conforming Finite Elements
      M. E. Rognes, R. C. Kirby and A. Logg
      SIAM Journal on Scientific Computing, vol. 31, pp. 4130—4151, 2009, [DOI], [arXiv]
    18. DOLFIN: Automated Finite Element Computing
      A. Logg and G. N. Wells
      ACM Transactions on Mathematical Software, vol. 37, 2010, [DOI], [arXiv]
    19. An Adaptive Finite Element Splitting Method for the Incompressible Navier–Stokes Equations
      K. Selim, A. Logg and M. G. Larson
      Computer Methods in Applied Mechanics and Engineering, vol. 209–212, pp. 54—65, 2011, [DOI], [arXiv]
    20. Efficient Implementation of Finite Element Methods on Non-Matching and Overlapping Meshes in 3D
      A. Massing, M. G. Larson and A. Logg
      SIAM Journal on Scientific Computing, vol. 35, pp. C23—C47, 2013, [DOI], [arXiv]
    21. Automated Goal-Oriented Error Control I: Stationary Variational Problems
      M. E. Rognes and A. Logg
      SIAM Journal on Scientific Computing, vol. 35, pp. C173—C193, 2013, [DOI], [arXiv]
    22. A Stabilized Nitsche Overlapping Mesh Method for the Stokes Problem
      A. Massing, M. G. Larson, A. Logg and M. E. Rognes
      Numerische Mathematik, pp. 1—29, 2014, [DOI], [arXiv]
    23. A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem
      A. Massing, M. G. Larson, A. Logg and M. E. Rognes
      Journal of Scientific Computing, vol. 61, pp. 1—25, 2014, [DOI], [arXiv]
    24. Unified Form Language: A Domain-Specific Language for Weak Formulations of Partial Differential Equations
      M. S. Alnaes, A. Logg, K. B. Oelgaard, M. E. Rognes and G. N. Wells
      ACM Transactions on Mathematical Software, vol. 40, 2014, [DOI], [arXiv]
    25. Periodic Table of the Finite Elements
      D. N. Arnold and A. Logg
      SIAM News, 2014
    26. A Nitsche-Based Cut Finite Element Method for a Fluid–Structure Interaction Problem
      A. Massing, M. G. Larson, A. Logg and M. E. Rognes
      Communications in Applied Mathematics and Computational Science, vol. 10, pp. 97—120, 2015, [arXiv]
    27. High Order Cut Finite Element Methods for the Stokes Problem
      A. Johansson, M. G. Larson and A. Logg
      Advanced Modeling and Simulation in Engineering Sciences, vol. 2, 2015, [DOI], [arXiv]
    28. A Posteriori Error Analysis of Round-Off Errors in the Numerical Solution of Ordinary Differential Equations
      B. Kehlet and A. Logg
      Numerical Algorithms, vol. 76, pp. 191—210, 2017, [DOI], [arXiv]
    29. The FEniCS Project Version 1.5
      M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg, C. Richardson, J. Ring, M. E. Rognes and G. N. Wells
      Archive of Numerical Software, vol. 3, 2015, [DOI]
    30. On Axisymmetric and Stationary Solutions of the Self-Gravitating Vlasov System
      E. Ames, H. Andreasson and A. Logg
      Classical and Quantum Gravity, vol. 33, 2016, [DOI], [arXiv]
    31. Robust Intersection of Structured Hexahedral Meshes and Degenerate Triangle Meshes with Volume Fraction Applications
      F. Svelander, G. Kettil, T. Johnson, A. Mark, A. Logg and F. Edelvik
      Numerical Algorithms, vol. 77, 2017, [DOI]
    32. MultiMesh Finite Element Methods: Solving PDEs on Multiple Intersecting Meshes
      A. Johansson, B. Kehlet, M. G. Larson and A. Logg
      Computer Methods in Applied Mechanics and Engineering, vol. 343, pp. 672—689, 2019, [DOI], [arXiv]
    33. Cosmic String and Black Hole Limits of Toroidal Vlasov Bodies in General Relativity
      E. Ames, H. Andreasson and A. Logg
      Physical Review D, vol. 99, pp. 024012, 2018, [DOI], [arXiv]
    34. Digital Twins for Cities: A State of the Art Review
      B. Ketzler, V. Naserentin, F. Latino, C. Zangelidis, L. Thuvander and A. Logg
      Built Environment, vol. 46, pp. 547—573, 2020, [DOI]
    35. MultiMesh Finite Elements with Flexible Mesh Sizes
      A. Johansson, M. G. Larson and A. Logg
      Computer Methods in Applied Mechanics and Engineering, vol. 372, 2020, [DOI]
    36. Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
      J. Borgqvist1, A. Malik, C. Lundholm, A. Logg, P. Gerlee and M. Cvijovic
      Systems Biology and Applications, vol. 7, 2021, [DOI]

    Books

    1. Dreams of Calculus: Perspectives on Mathematics Education
      J. Hoffman, C. Johnson and A. Logg
      Springer, 2004
    2. Automated Solution of Differential Equations by the Finite Element Method
      A. Logg, K.-A. Mardal, G. N. Wells et al.
      Springer, 2012
    3. Solving PDEs in Python
      H. P. Langtangen and A. Logg
      Springer, 2017
    4. Differentialkalkyl och skalära ekvationer
      S. Larsson, A. Logg and A. Målqvist
      Studentlitteratur, 2020

    Chapters in Books

    1. Adaptive Computational Methods for Parabolic Problems
      K. Eriksson, C. Johnson and A. Logg
      in Encyclopedia of Computational Mechanics, Edited by E. Stein, R. d. Borst and T. J. R. Hughes, Wiley Press, chapter 24, 2004
    2. A Hybrid Approach to Efficient Finite Element Code Development
      A. Logg, K.-A. Mardal, M. S. Alnaes, H. P. Langtangen and O. Skavhaug
      in Petascale Computing: Algorithms and Applications, Edited by D. A. Bader, Chapman and Hall, chapter 19, 2007
    3. Att Lösa En Differentialekvation
      A. Logg
      in Människor och matematik, Edited by O. Helenius and K. Wallby, Nationellt centrum för matematikutbildning, NCM, pp. 95—109, 2008
    4. Past and Future Perspectives on Scientific Software
      A. Logg, H. P. Langtangen and X. Cai
      in Simula Research Laboratory - by thinking constantly about it, Edited by A. Tveito, A. M. Bruaset and O. Lysne, Springer, chapter 23, pp. 321—362, 2009
    5. The Finite Element Method
      R. C. Kirby and A. Logg
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 2, 2012
    6. Common and Unusual Finite Elements
      R. C. Kirby, A. Logg, M. E. Rognes and A. R. Terrel
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 3, 2012
    7. Finite Element Variational Forms
      R. C. Kirby and A. Logg
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 5, 2012
    8. Finite Element Assembly
      A. Logg, K.-A. Mardal and G. N. Wells
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 6, 2012
    9. Tensor Representation of Finite Element Variational Forms
      R. C. Kirby and A. Logg
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 8, 2012
    10. Discrete Optimization of Finite Element Matrix Evaluation
      R. C. Kirby, M. G. Knepley, A. Logg, L. R. Scott and A. R. Terrel
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 9, 2012
    11. DOLFIN: a C++/Python Finite Element Library
      A. Logg, G. N. Wells and J. Hake
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 10, 2012
    12. FFC: the FEniCS Form Compiler
      A. Logg, K. B. Oelgaard, M. E. Rognes and G. N. Wells
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 11, 2012
    13. FErari: an Optimizing Compiler for Variational Forms
      R. C. Kirby and A. Logg
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 12, 2012
    14. UFC: a Finite Element Code Generation Interface
      M. S. Alnaes, A. Logg and K.-A. Mardal
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 16, 2012
    15. A Comparison of Finite Element Schemes for the Incompressible Navier–Stokes Equations
      K. Valen-Sendstad, A. Logg, K.-A. Mardal, H. Narayanan and M. Mortensen
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 21, 2012
    16. Computational Hemodynamics
      K. Valen-Sendstad, K.-A. Mardal and A. Logg
      in Automated Solution of Differential Equations by the Finite Element Method, Edited by A. Logg, K.-A. Mardal and G. N. Wells, Springer, chapter 23, 2012

    Refereed Proceedings

    1. Efficient Representation of Computational Meshes
      A. Logg
      in MekIT'07, 2007
    2. Multiscale Modeling of the Acoustic Properties of Lung Parenchyma
      M. Siklosi, O. E. Jensen, R. H. Tew and A. Logg
      in Mathematical and numerical modelling of the human lung, 2008
    3. Simulating Heart Valve Dynamics in FEniCS
      K. Selim and A. Logg
      in MekIT'09, 2009
    4. A Reference Solution for the Lorenz System on [0, 1000]
      B. Kehlet and A. Logg
      in AIP Conference Proceedings (ICNAAM 2010), 2010
    5. Building Flexible User Interfaces for Solving PDEs
      A. Logg and G. Wells
      in AIP Conference Proceedings (ICNAAM 2010), 2010
    6. Towards an Implementation of Nitsche's Method on Overlapping Meshes in 3D
      A. Massing, M. G. Larson and A. Logg
      in AIP Conference Proceedings (ICNAAM 2010), 2010
    7. A Newton Method for Fluid–Structure Interaction Using Full Jacobians Based on Automatic Form Differentiation
      G. Balaban, A. Logg and M. E. Rognes
      in Proceedings of ECCOMAS 2012, 2012
    8. Quantifying the Computability of the Lorenz System
      B. Kehlet and A. Logg
      in Adaptive Modeling and Simulation, 2013
    9. Urban CFD-Simulation Using Point Cloud Data
      S. Ingelsten, A. Mark, F. Edelvik, A. Logg and M. Österbring
      in Proceedings of 29th Nordic Seminar on Computational Mechanics - NSCM29, 2016
    10. Moving Mesh and Image Registration in FEniCS
      J. Larsson, A. Logg, K. Modin and A. Sehlström
      in Proceedings of 30th Nordic Seminar on Computational Mechanics - NSCM30, 2017
    11. Solving Poissons Equation on the Microsoft HoloLens
      A. Logg, C. Lundholm and M. Nordaas
      in Proceedings of the 23rd ACM Symposium on Virtual Reality Software and Technology, VRST 2017, Gothenburg, Sweden, November 8-10, 2017, 2017
    12. VirtualCity@Chalmers: Creating a Prototype for a Collaborative Early Stage Urban Planning AR Application
      F. Latino, V. Naserentin, E. Öhrn, S. Zhau, M. Fjeld, L. Thuvander and A. Logg
      in Proceedings of the 7th eCAADe Regional International Symposium, 2019
    13. Towards Spatial Integration of Qualitative Data for Urban Transformation – Challenges with Automated Geovisualization of Perception of Urban Places
      L. Thuvander, F. Latino, C. Zangelidis, M. Adelfio, V. Naserentin and A. Logg
      in IOP Conference Series: Earth and Environmental Science, 2020
    14. Using the Octree Immersed Boundary Method for Urban Wind CFD Simulations
      R. Mitkov, M. Pantusheva, V. Naserentin, P. O. Hristov, D. Wästberg, F. Hunger, A. Mark, D. Petrova-Antonova, F. Edelvik and A. Logg
      in IFAC-PapersOnLine: IFAC Workshop on Control for Smart Cities CSC 2022, 2022
    15. Combining Open Source and Commercial Tools in Digital Twin for Cities Generation
      V. Naserentin, S. Somanath, O. Eleftheriou and A. Logg
      in IFAC-PapersOnLine: IFAC Workshop on Control for Smart Cities CSC 2022, 2022
    16. Roof Segmentation Towards Digital Twin Generation in LoD2+ Using Deep Learning
      N. Kolibarov, D. Wästberg, V. Naserentin, D. Petrova-Antonova, S. Ilieva and A. Logg
      in IFAC Workshop Control for Smart Cities, 2022

    Conference Proceedings

    1. Topics in Adaptive Computational Methods for Differential Equations
      C. Johnson, J. Hoffman and A. Logg
      in CEDYA 2001: Congreso de Ecuaciones Diferenciales y Aplicaciones, 2001
    2. Mathematics and Computation
      J. Hoffman, C. Johnson and A. Logg
      in Stockholm Intelligencer: Fourth European Congress of Mathematics, 2004
    3. Automated Solution of Differential Equations
      A. Logg
      in Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich, 2007
    4. Automated Computational Modelling for Solid Mechanics
      K. B. Oelgaard, G. N. Wells and A. Logg
      in IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media, 2008
    5. Trends in Computational Mechanics Software
      H. P. Langtangen and A. Logg
      in 21st Nordic Seminar on Computational Mechanics, 2008
    6. Collaborative Computational Frameworks and the Growth Problem
      H. Narayanan, K. Garikipati and A. Logg
      in The Mathematics of Growth and Remodelling of Soft Biological Tissues, Mathematisches Forschungsinstitut Oberwolfach Reports, 2008
    7. An Overview of the FEniCS Project
      A. Logg
      in 21st Nordic Seminar on Computational Mechanics, 2008
    8. Digital Twin Cities: Multi-Disciplinary Modeling and High-Performance Simulation of Cities
      A. Logg and V. Naserentin
      in ECCOMAS Newsletter, 2022

    Theses

    1. A Multi-Adaptive ODE-Solver
      A. Logg
      M.Sc. Thesis, Chalmers University of Technology, 1998
    2. Multi-Adaptive Galerkin Methods for ODEs
      A. Logg
      Lic. Thesis, Chalmers University of Technology, 2001
    3. Automation of Computational Mathematical Modeling
      A. Logg
      Ph.D. Thesis, Chalmers University of Technology, 2004

    Other Publications

    1. Vätskekristaller: En Kort Introduktion
      G. Christiansson and A. Logg
      Scientium, 1996
    2. Vätskekristaller Del 2: LCD (vätskekristall-Displayer)
      G. Christiansson and A. Logg
      Scientium, 1996
    3. Body and Soul Computer Sessions
      A. Logg, J. Jansson et al.
      2006
    4. Automating the Finite Element Method
      A. Logg
      Lecture notes for the Sixth Winter School in Computational Mathematics, 2006
    5. Beräkningsmatematik
      A. Logg
      2008
    6. Visualisering och auralisering av buller i stadsmiljö
      B. S. Wästberg, J. Forssén, L. Thuvander, M. Billger, A. Logg and F. Latino
      Bygg & Teknik, 2020
    7. Modeling and Simulating Cities with Digital Twins
      A. Logg and V. Naserentin
      in GIM International, vol. 36, 2022

    My Erdös number is 4: Larkin Ridgway Scott – Ronald A. DeVore – Henry A. Kierstead – Paul Erdös.

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