Anders Logg

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My research is concerned with the numerical solution of partial differential equations, in particular adaptive finite element methods and the development of efficient computer programs for automated multiphysics simulation. I am one of the founders and core developers of FEniCS, an international project for the development of free software for automated solution of differential equations.My research papers are available from arXiv. You can also find an overview of my papers on Google Scholar and on ORCID. Follow me on Google+ and Twitter.For more information, visit my personal web page.

Source: chalmers.se

Projects

2015–2017

Automated uncertainty quantification for numerical solutions of partial differential equations

Anders Logg Department of Mathematical Sciences, Mathematics
NordForsk

2013–2018

Numerical methods for computational anatomy

Klas Modin Department of Mathematical Sciences, Mathematics
Anders Logg Department of Mathematical Sciences, Mathematics
Stig Larsson Department of Mathematical Sciences, Mathematics
Matteo Molteni Department of Mathematical Sciences, Mathematics
Geir Bogfjellmo Department of Mathematical Sciences, Applied Mathematics and Statistics
Milo Viviani Department of Mathematical Sciences, Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)

2016–2020

Matematik för elektronstrålesmältning: 3D-skrivning i metall

Stig Larsson Department of Mathematical Sciences, Applied Mathematics and Statistics
Anders Logg Department of Mathematical Sciences, Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)

2015–2018

Multimesh space-time finite element methods

Anders Logg Department of Mathematical Sciences, Mathematics
Swedish Research Council (VR)

There might be more projects where Anders Logg participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2016

On axisymmetric and stationary solutions of the self-gravitating Vlasov system

Ellery Ames, Håkan Andréasson, Anders Logg et al
Classical and Quantum Gravity. Vol. 33 (15), p. no. 155008
Scientific journal article - peer reviewed
2015

The FEniCS Project Version 1.5

Martin S. Alnæs, Jan Blechta, Johan Hake et al
Archive of Numerical Software. Vol. 3 (100), p. 9-23
Scientific journal article - peer reviewed
2015

High Order Cut Finite Element Methods for the Stokes Problem

August Johansson, Anders Logg, Mats G. Larson et al
Advanced Modeling and Simulation in Engineering Sciences. Vol. 2, p. artikel nr 24
Scientific journal article - peer reviewed
2015

A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem

Andre Massing, Mats G. Larson, Anders Logg et al
Communications in Applied Mathematics and Computational Science. Vol. 10 (2), p. 97-120
Scientific journal article - peer reviewed
2014

Periodic Table of the Finite Elements

Douglas N. Arnold, Anders Logg,
SIAM News. Vol. 47 (9)
Scientific journal article - peer reviewed
2014

A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem

A. Massing, M. G. Larson, Anders Logg et al
Journal of Scientific Computing. Vol. 61 (3), p. 604-628
Scientific journal article - peer reviewed
2014

A stabilized Nitsche overlapping mesh method for the Stokes problem

A. Massing, M. G. Larson, Anders Logg et al
Numerische Mathematik. Vol. 128 (1), p. 73-101
Scientific journal article - peer reviewed
2014

Unified Form Language: A Domain-Specific Language for Weak Formulations of Partial Differential Equations

Martin Alnaes, Anders Logg, Kristian B. Oelgaard et al
ACM Transactions on Mathematical Software. Vol. 40 (2), p. artikel nr 9
Scientific journal article - peer reviewed
2013

Quantifying the Computability of the Lorenz System Using a posteriori analysis

Benjamin Kehlet, Anders Logg,
Adaptive Modeling and Simulation 2013, Proceedings of the VI International Conference on Adaptive Modeling and Simulation (ADMOS 2013) held in Lisbon, Portugal 3 – 5 June 2013, p. 99
Conference paper - peer reviewed
2013

Automated goal-oriented error control i: Stationary variational problems

M.E. Rognes, Anders Logg,
SIAM Journal on Scientific Computing. Vol. 35 (3), p. C173-C193
Scientific journal article - peer reviewed
2013

Efficient implementation of finite element methods on nonmatching and overlapping meshes in three dimensions

A. Massing, M.G. Larson, Anders Logg et al
SIAM Journal on Scientific Computing. Vol. 35 (1), p. C23-C47
Scientific journal article - peer reviewed
2012

A Newton Method for Fluid-Structure Interaction Using Full Jacobians Based on Automatic Form Differentiation

Gabriel Balaban, Anders Logg, Marie E. Rognes et al
6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012; Vienna; Austria; 10 September 2012 through 14 September 2012, p. 3434-3447
Conference paper - peer reviewed
2012

Computational Hemodynamics

Kristian Valen-Sendstad, Kent-Andre Mardal, Anders Logg et al
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 441-454
Chapter in monograph, book
2012

A Comparison of Finite Element Schemes for the Incompressible Navier-Stokes Equations

Kristian Valen-Sendstad, Anders Logg, Kent-Andre Mardal et al
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 399-420
Chapter in monograph, book
2012

UFC: a Finite Element Code Generation Interface

Martin S. Alnaes, Anders Logg, Kent-Andre Mardal et al
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 283-302
Chapter in monograph, book
2012

FErari: an Optimizing Compiler for Variational Forms

Robert C. Kirby, Anders Logg,
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 239-246
Chapter in monograph, book
2012

FFC: the FEniCS Form Compiler

Anders Logg, Kristian B. Oelgaard, Marie E. Rognes et al
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 227-238
Chapter in monograph, book
2012

DOLFIN: a C++/Python Finite Element Library

Anders Logg, Garth N. Wells, Johan Hake et al
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 173-225
Chapter in monograph, book
2012

Discrete Optimization of Finite Element Matrix Evaluation

Robert C. Kirby, Matthew G. Knepley, Anders Logg et al
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 163-169
Chapter in monograph, book
2012

Tensor Representation of Finite Element Variational Forms

Robert C. Kirby, Anders Logg,
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 159-162
Chapter in monograph, book
2012

Finite Element Assembly

Anders Logg, Kent-Andre Mardal, Garth N. Wells et al
Automated Solution of Differential Equations by the Finite Element Method, p. 141-146
Chapter in monograph, book
2012

Finite Element Variational Forms

Robert C. Kirby, Anders Logg,
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 133-140
Chapter in monograph, book
2012

Common and Unusual Finite Elements

Robert C. Kirby, Anders Logg, Marie E. Rognes et al
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 95-119
Chapter in monograph, book
2012

The Finite Element Method

Robert C. Kirby, Anders Logg,
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.), p. 77-94
Chapter in monograph, book
2012

Automated solution of differential equations by the finite element method : the FEniCS book

Anders Logg, Kent-Andre Mardal, Garth N. Wells et al
Monograph, book
2012

An adaptive finite element splitting method for the incompressible Navier-Stokes equations

K. Selim, Anders Logg, M.G. Larson et al
Computer Methods in Applied Mechanics and Engineering. Vol. 209-212, p. 54-65
Scientific journal article - peer reviewed
2010

Towards an Implementation of Nitsche's Method on Overlapping Meshes in 3D

Andre Massing, Mats G. Larson, Anders Logg et al
AIP Conference Proceedings (ICNAAM 2010)
Conference paper - peer reviewed
2010

Building Flexible User Interfaces for Solving PDEs

Anders Logg, Garth Wells,
AIP Conference Proceedings (ICNAAM 2010)
Conference paper - peer reviewed
2010

A Reference Solution for the Lorenz System on [0, 1000]

Benjamin Kehlet, Anders Logg,
AIP Conference Proceedings (ICNAAM 2010)
Conference paper - peer reviewed
2010

DOLFIN: Automated finite element computing

Anders Logg, G.N. Wells,
ACM Transactions on Mathematical Software. Vol. 37 (2)
Scientific journal article - peer reviewed
2009

Simulating Heart Valve Dynamics in FEniCS

Kristoffer Selim, Anders Logg,
MekIT'09
Conference paper - peer reviewed
2009

Past and Future Perspectives on Scientific Software

Anders Logg, Hans Petter Langtangen, Xing Cai et al
Simula Research Laboratory - by thinking constantly about it, p. 321-362
Chapter in monograph, book
2009

Efficient assembly of H(div) and H(curl) conforming finite elements

M.E. Rognes, R.C. Kirby, Anders Logg et al
SIAM Journal on Scientific Computing. Vol. 31 (6), p. 4130-4151
Scientific journal article - peer reviewed
2009

Efficient representation of computational meshes

Anders Logg,
International Journal of Computational Science and Engineering. Vol. 4 (4), p. 283-295
Scientific journal article - peer reviewed
2009

Unified framework for finite element assembly

M.S. Alnæs, Anders Logg, K.A. Mardal et al
International Journal of Computational Science and Engineering. Vol. 4 (4), p. 231-244
Scientific journal article - peer reviewed
2008

An Overview of the FEniCS Project

Anders Logg,
21st Nordic Seminar on Computational Mechanics
Conference paper - non peer reviewed
2008

Collaborative Computational Frameworks and the Growth Problem

Harish Narayanan, Krishna Garikipati, Anders Logg et al
he Mathematics of Growth and Remodelling of Soft Biological Tissues, Mathematisches Forschungsinstitut Oberwolfach Reports
Conference paper - non peer reviewed
2008

Trends in Computational Mechanics Software

Hans Petter Langtangen, Anders Logg,
21st Nordic Seminar on Computational Mechanics
Conference paper - non peer reviewed
2008

Automated Computational Modelling for Solid Mechanics

Kristian B. Oelgaard, Garth N. Wells, Anders Logg et al
IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media
Conference paper - non peer reviewed
2008

Multiscale Modeling of the Acoustic Properties of Lung Parenchyma

Malin Siklosi, Oliver E. Jensen, Richard H. Tew et al
Mathematical and numerical modelling of the human lung
Conference paper - peer reviewed
2008

Att lösa en differentialekvation

Anders Logg,
Människor och matematik, p. 95-109
Chapter in monograph, book - popular science
2008

Automated code generation for discontinuous galerkin methods

K.B. Ølgaard, Anders Logg, G.N. Wells et al
SIAM Journal on Scientific Computing. Vol. 31 (2), p. 849-864
Scientific journal article - peer reviewed
2008

Benchmarking domain-specific compiler optimizations for variational forms

R.C. Kirby, Anders Logg,
ACM Transactions on Mathematical Software. Vol. 35 (2)
Scientific journal article - peer reviewed
2008

Algorithms and data structures for multi-adaptive time-stepping

Johan Jansson, Anders Logg,
ACM Transactions on Mathematical Software. Vol. 35 (3)
Scientific journal article - peer reviewed
2007

Automated Solution of Differential Equations

Anders Logg,
Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Z\"urich
Conference paper - non peer reviewed
2007

Efficient Representation of Computational Meshes

Anders Logg,
MekIT'07
Conference paper - peer reviewed
2007

A Hybrid Approach to Efficient Finite Element Code Development

Anders Logg, Kent-Andre Mardal, Martin S. Alnaes et al
Petascale Computing: Algorithms and Applications
Chapter in monograph, book
2007

Efficient compilation of a class of variational forms

R.C. Kirby, Anders Logg,
ACM Transactions on Mathematical Software. Vol. 33 (3)
Scientific journal article - peer reviewed
2007

Automating the finite element method

Anders Logg,
Archives of Computational Methods in Engineering. Vol. 14 (2), p. 93-138
Scientific journal article - peer reviewed
2006

Topological optimization of the evaluation of finite element matrices

R.C. Kirby, Anders Logg, L. Ridgway Scott et al
SIAM Journal on Scientific Computing. Vol. 28 (1), p. 224-240
Scientific journal article - peer reviewed
2006

A compiler for variational forms

R.C. Kirby, Anders Logg,
ACM Transactions on Mathematical Software. Vol. 32 (3), p. 417-444
Scientific journal article - peer reviewed
2006

Multiadaptive Galerkin methods for ODEs III: A priori error estimates

Anders Logg,
SIAM Journal on Numerical Analysis. Vol. 43 (6), p. 2624-2646
Scientific journal article - peer reviewed
2006

Optimizing the evaluation of finite element matrices

R.C. Kirby, M.G. Knepley, Anders Logg et al
SIAM Journal on Scientific Computing. Vol. 27 (3), p. 741-758
Scientific journal article - peer reviewed
2005

Computational modeling of dynamical systems

Johan Jansson, Claes Johnson, Anders Logg et al
Mathematical Models and Methods in Applied Sciences. Vol. 15 (3), p. 471-481
Scientific journal article - peer reviewed
2004

Mathematics and Computation

Johan Hoffman, Claes Johnson, Anders Logg et al
Stockholm Intelligencer: Fourth European Congress of Mathematics
Conference paper - non peer reviewed
2004

Adaptive Computational Methods for Parabolic Problems

Kenneth Eriksson, Claes Johnson, Anders Logg et al
Encyclopedia of Computational Mechanics
Chapter in monograph, book
2004

Dreams of Calculus: perspectives on mathematics education

Johan Hoffman, Claes Johnson, Anders Logg et al
Monograph, book - popular science
2004

Multi-adaptive time integration

Anders Logg,
Applied Numerical Mathematics. Vol. 48 (3-4), p. 339-354
Scientific journal article - peer reviewed
2004

Automation of Computational Mathematical Modeling

Anders Logg,
Doctoral thesis
2003

Explicit time-stepping for stiff ODEs

Kenneth Eriksson, Claes Johnson, Anders Logg et al
SIAM Journal on Scientific Computing. Vol. 25 (4), p. 1142-1157
Scientific journal article - peer reviewed
2003

Multi-adaptive Galerkin methods for ODEs II: Implementation and applications

Anders Logg,
SIAM Journal on Scientific Computing. Vol. 25 (4), p. 1119-1141
Scientific journal article - peer reviewed
2003

Multi-adaptive Galerkin methods for ODEs I

Anders Logg,
SIAM Journal on Scientific Computing. Vol. 24 (6), p. 1879-1902
Scientific journal article - peer reviewed
2001

Topics in Adaptive Computational Methods for Differential Equations

Claes Johnson, Johan Hoffman, Anders Logg et al
CEDYA 2001: Congreso de Ecuaciones Diferenciales y Aplicaciones
Conference paper - non peer reviewed
2001

Multi-adaptive Galerkin methods for ODEs

Anders Logg,
Licentiate thesis