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Articles in International Journals
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Multi-Adaptive Galerkin Methods for ODEs I
SIAM J. Sci. Comput., vol. 24, pp. 1879—1902, 2003, [DOI], [arXiv] -
Multi-Adaptive Galerkin Methods for ODEs II: Implementation and Applications
SIAM J. Sci. Comput., vol. 25, pp. 1119—1141, 2003, [DOI], [arXiv] -
Explicit Time-Stepping for Stiff ODEs
SIAM J. Sci. Comput., vol. 25, pp. 1142—1157, 2003, [DOI], [arXiv] -
Multi-Adaptive Time-Integration
Applied Numerical Mathematics, vol. 48, pp. 339—354, 2004, [DOI], [arXiv] -
Computational Modeling of Dynamical Systems
Mathematical Models and Methods in Applied Sciences, vol. 15, pp. 471—481, 2005, [DOI], [arXiv] -
Optimizing the Evaluation of Finite Element Matrices
SIAM J. Sci. Comput., vol. 27, pp. 741—758, 2005, [DOI], [arXiv] -
Multi-Adaptive Galerkin Methods for ODEs III: A Priori Error Estimates
SIAM Journal on Numerical Analysis, vol. 43, pp. 2624—2646, 2006, [DOI], [arXiv] -
A Compiler for Variational Forms
ACM Transactions on Mathematical Software, vol. 32, pp. 417—444, 2006, [DOI], [arXiv] -
Topological Optimization of the Evaluation of Finite Element Matrices
SIAM J. Sci. Comput., vol. 28, pp. 224—240, 2006, [DOI], [arXiv] -
Efficient Compilation of a Class of Variational Forms
ACM Transactions on Mathematical Software, vol. 33, 2007, [DOI], [arXiv] -
Automating the Finite Element Method
Archives of Computational Methods in Engineering, vol. 14, pp. 93—138, 2007, [DOI], [arXiv] -
Algorithms and Data Structures for Multi-Adaptive Time-Stepping
ACM Trans. Math. Software, vol. 35, pp. 1—24, 2008, [DOI], [arXiv] -
Benchmarking Domain-Specific Compiler Optimizations for Variational Forms
ACM Transactions on Mathematical Software, vol. 35, pp. 1—18, 2008, [DOI], [arXiv] -
Automated Code Generation for Discontinuous Galerkin Methods
SIAM J. Sci. Comput., vol. 31, pp. 849—864, 2008, [DOI], [arXiv] -
Unified Framework for Finite Element Assembly
International Journal of Computational Science and Engineering, vol. 4, pp. 231—244, 2009, [DOI], [arXiv] -
Efficient Representation of Computational Meshes
International Journal of Computational Science and Engineering, vol. 4, pp. 283—295, 2009, [DOI], [arXiv] -
Efficient Assembly of H(div) and H(curl) Conforming Finite Elements
SIAM Journal on Scientific Computing, vol. 31, pp. 4130—4151, 2009, [DOI], [arXiv] -
DOLFIN: Automated Finite Element Computing
ACM Transactions on Mathematical Software, vol. 37, 2010, [DOI], [arXiv] -
An Adaptive Finite Element Splitting Method for the Incompressible Navier–Stokes Equations
Computer Methods in Applied Mechanics and Engineering, vol. 209–212, pp. 54—65, 2011, [DOI], [arXiv] -
Efficient Implementation of Finite Element Methods on Non-Matching and Overlapping Meshes in 3D
SIAM Journal on Scientific Computing, vol. 35, pp. C23—C47, 2013, [DOI], [arXiv] -
Automated Goal-Oriented Error Control I: Stationary Variational Problems
SIAM Journal on Scientific Computing, vol. 35, pp. C173—C193, 2013, [DOI], [arXiv] -
A Stabilized Nitsche Overlapping Mesh Method for the Stokes Problem
Numerische Mathematik, pp. 1—29, 2014, [DOI], [arXiv] -
A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem
Journal of Scientific Computing, vol. 61, pp. 1—25, 2014, [DOI], [arXiv] -
Unified Form Language: A Domain-Specific Language for Weak Formulations of Partial Differential Equations
ACM Transactions on Mathematical Software, vol. 40, 2014, [DOI], [arXiv] -
Periodic Table of the Finite Elements
SIAM News, 2014 -
A Nitsche-Based Cut Finite Element Method for a Fluid–Structure Interaction Problem
Communications in Applied Mathematics and Computational Science, vol. 10, pp. 97—120, 2015, [arXiv] -
High Order Cut Finite Element Methods for the Stokes Problem
Advanced Modeling and Simulation in Engineering Sciences, vol. 2, 2015, [DOI], [arXiv] -
A Posteriori Error Analysis of Round-Off Errors in the Numerical Solution of Ordinary Differential Equations
Numerical Algorithms, vol. 76, pp. 191—210, 2017, [DOI], [arXiv] -
The FEniCS Project Version 1.5
Archive of Numerical Software, vol. 3, 2015, [DOI] -
On Axisymmetric and Stationary Solutions of the Self-Gravitating Vlasov System
Classical and Quantum Gravity, vol. 33, 2016, [DOI], [arXiv] -
Robust Intersection of Structured Hexahedral Meshes and Degenerate Triangle Meshes with Volume Fraction Applications
Numerical Algorithms, vol. 77, 2017, [DOI] -
MultiMesh Finite Element Methods: Solving PDEs on Multiple Intersecting Meshes
Computer Methods in Applied Mechanics and Engineering, vol. 343, pp. 672—689, 2019, [DOI], [arXiv] -
Cosmic String and Black Hole Limits of Toroidal Vlasov Bodies in General Relativity
Physical Review D, vol. 99, pp. 024012, 2018, [DOI], [arXiv] -
Digital Twins for Cities: A State of the Art Review
Built Environment, vol. 46, pp. 547—573, 2020, [DOI] -
MultiMesh Finite Elements with Flexible Mesh Sizes
Computer Methods in Applied Mechanics and Engineering, vol. 372, 2020, [DOI] -
Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
Systems Biology and Applications, vol. 7, 2021, [DOI]
Books
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Dreams of Calculus: Perspectives on Mathematics Education
Springer, 2004 -
Automated Solution of Differential Equations by the Finite Element Method
Springer, 2012 -
Solving PDEs in Python
Springer, 2017 -
Differentialkalkyl och skalära ekvationer
Studentlitteratur, 2020
Chapters in Books
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Adaptive Computational Methods for Parabolic Problems
in Encyclopedia of Computational Mechanics, Edited by , Wiley Press, chapter 24, 2004 -
A Hybrid Approach to Efficient Finite Element Code Development
in Petascale Computing: Algorithms and Applications, Edited by , Chapman and Hall, chapter 19, 2007 -
Att Lösa En Differentialekvation
in Människor och matematik, Edited by , Nationellt centrum för matematikutbildning, NCM, pp. 95—109, 2008 -
Past and Future Perspectives on Scientific Software
in Simula Research Laboratory - by thinking constantly about it, Edited by , Springer, chapter 23, pp. 321—362, 2009 -
The Finite Element Method
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 2, 2012 -
Common and Unusual Finite Elements
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 3, 2012 -
Finite Element Variational Forms
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 5, 2012 -
Finite Element Assembly
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 6, 2012 -
Tensor Representation of Finite Element Variational Forms
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 8, 2012 -
Discrete Optimization of Finite Element Matrix Evaluation
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 9, 2012 -
DOLFIN: a C++/Python Finite Element Library
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 10, 2012 -
FFC: the FEniCS Form Compiler
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 11, 2012 -
FErari: an Optimizing Compiler for Variational Forms
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 12, 2012 -
UFC: a Finite Element Code Generation Interface
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 16, 2012 -
A Comparison of Finite Element Schemes for the Incompressible Navier–Stokes Equations
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 21, 2012 -
Computational Hemodynamics
in Automated Solution of Differential Equations by the Finite Element Method, Edited by , Springer, chapter 23, 2012
Refereed Proceedings
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Efficient Representation of Computational Meshes
in MekIT'07, 2007 -
Multiscale Modeling of the Acoustic Properties of Lung Parenchyma
in Mathematical and numerical modelling of the human lung, 2008 -
Simulating Heart Valve Dynamics in FEniCS
in MekIT'09, 2009 -
A Reference Solution for the Lorenz System on [0, 1000]
in AIP Conference Proceedings (ICNAAM 2010), 2010 -
Building Flexible User Interfaces for Solving PDEs
in AIP Conference Proceedings (ICNAAM 2010), 2010 -
Towards an Implementation of Nitsche's Method on Overlapping Meshes in 3D
in AIP Conference Proceedings (ICNAAM 2010), 2010 -
A Newton Method for Fluid–Structure Interaction Using Full Jacobians Based on Automatic Form Differentiation
in Proceedings of ECCOMAS 2012, 2012 -
Quantifying the Computability of the Lorenz System
in Adaptive Modeling and Simulation, 2013 -
Urban CFD-Simulation Using Point Cloud Data
in Proceedings of 29th Nordic Seminar on Computational Mechanics - NSCM29, 2016 -
Moving Mesh and Image Registration in FEniCS
in Proceedings of 30th Nordic Seminar on Computational Mechanics - NSCM30, 2017 -
Solving Poissons Equation on the Microsoft HoloLens
in Proceedings of the 23rd ACM Symposium on Virtual Reality Software and Technology, VRST 2017, Gothenburg, Sweden, November 8-10, 2017, 2017 -
VirtualCity@Chalmers: Creating a Prototype for a Collaborative Early Stage Urban Planning AR Application
in Proceedings of the 7th eCAADe Regional International Symposium, 2019 -
Towards Spatial Integration of Qualitative Data for Urban Transformation – Challenges with Automated Geovisualization of Perception of Urban Places
in IOP Conference Series: Earth and Environmental Science, 2020 -
Using the Octree Immersed Boundary Method for Urban Wind CFD Simulations
in IFAC-PapersOnLine: IFAC Workshop on Control for Smart Cities CSC 2022, 2022 -
Combining Open Source and Commercial Tools in Digital Twin for Cities Generation
in IFAC-PapersOnLine: IFAC Workshop on Control for Smart Cities CSC 2022, 2022 -
Roof Segmentation Towards Digital Twin Generation in LoD2+ Using Deep Learning
in IFAC Workshop Control for Smart Cities, 2022
Conference Proceedings
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Topics in Adaptive Computational Methods for Differential Equations
in CEDYA 2001: Congreso de Ecuaciones Diferenciales y Aplicaciones, 2001 -
Mathematics and Computation
in Stockholm Intelligencer: Fourth European Congress of Mathematics, 2004 -
Automated Solution of Differential Equations
in Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich, 2007 -
Automated Computational Modelling for Solid Mechanics
in IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media, 2008 -
Trends in Computational Mechanics Software
in 21st Nordic Seminar on Computational Mechanics, 2008 -
Collaborative Computational Frameworks and the Growth Problem
in The Mathematics of Growth and Remodelling of Soft Biological Tissues, Mathematisches Forschungsinstitut Oberwolfach Reports, 2008 -
An Overview of the FEniCS Project
in 21st Nordic Seminar on Computational Mechanics, 2008 -
Digital Twin Cities: Multi-Disciplinary Modeling and High-Performance Simulation of Cities
in ECCOMAS Newsletter, 2022
Theses
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A Multi-Adaptive ODE-Solver
M.Sc. Thesis, Chalmers University of Technology, 1998 -
Multi-Adaptive Galerkin Methods for ODEs
Lic. Thesis, Chalmers University of Technology, 2001 -
Automation of Computational Mathematical Modeling
Ph.D. Thesis, Chalmers University of Technology, 2004
Other Publications
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Vätskekristaller: En Kort Introduktion
Scientium, 1996 -
Vätskekristaller Del 2: LCD (vätskekristall-Displayer)
Scientium, 1996 -
Body and Soul Computer Sessions
2006 -
Automating the Finite Element Method
Lecture notes for the Sixth Winter School in Computational Mathematics, 2006 -
Beräkningsmatematik
2008 -
Visualisering och auralisering av buller i stadsmiljö
Bygg & Teknik, 2020 -
Modeling and Simulating Cities with Digital Twins
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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