Articles in Refereed Journals
B. Faugeras and H. Heumann FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains Inria Research Report 9016, accepted in Journal of Computational Physics, 2017
B. Faugeras, J. Blum, H. Heumann and C. Boulbe Optimal control of a coupled partial and ordinary differential equations system for the assimilation of polarimetry Stokes vector measurements in tokamak free-boundary equilibrium reconstruction with application to ITER Inria Research Report 9014, accepted in Computer Physics Communications, 2017
H. Heumann and F. Rapetti
A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries Journal of Computational Physics , 334, 2017M. Blommaert, M. Baelmans, H. Heumann, Y. Marandet, H. Bufferand, N. R. Gauger, and D. Reiter
Magnetic Field Models and their Application in Optimal Magnetic Divertor Design Contributions to Plasma Physics, 56, 2016H. Heumann, R. Hiptmair and C. Pagliantini
Stabilized Galerkin for Transient Advection of Differential Forms
Discrete and Continuous Dynamical Systems Series S, 9(1), 2016H. Heumann, J. Blum, C. Boulbe, B. Faugeras, G. Selig, J.-M. Ané, S. Brémond, V. Grandgirard, P. Hertout and E. Nardon
Quasi-static free-boundary equilibrium of toroidal plasma with CEDRES++: Computational methods and applications
Journal of Plasma Physics, 81(03), 2015H. Heumann and M. Vogelius
Analysis of an enhanced approximate cloaking scheme for the conductivity problem
Asymptotic Analysis, 87(3-4), 2014H. Heumann and S. Kurz
Modeling and Finite-Element Simulation of the Wilson-Wilson Experiment
IEEE Transactions on Magnetics, 50, 2014H. Heumann and R. Hiptmair
Stabilized Galerkin methods for magnetic advection
ESAIM: Mathematical Modelling and Numerical Analysis, 47, 2013H. Heumann and R. Hiptmair
Convergence of Lowest Order Semi-Lagrangian Schemes
Foundations of Computational Mathematics, 13(2), 2013H. Heumann, R. Hiptmair, K. Li and J. Xu
Fully discrete semi-Lagrangian methods for advection of differential forms
BIT, 52(4), 2012H. Heumann and R. Hiptmair
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms
Discrete and Continuous Dynamical Systems. Series A, 29(4), 2011F. Henrotte, H. Heumann, E. Lange and K. Haymeyer
Upwind 3-D Vector Potential Formulation for Electromagnetic Braking Simulations
IEEE Transactions on Magnetics, 46(8), 2010H. Heumann and G. Wittum
The Tree-Edit-Distance, a Measure for Quantifying Neuronal Morphology
Neuroinformatics, 7(3), 2009
Conference Proceedings
H. Heumann, F. Rapetti and M. D. Truong FEMs on Composite Meshes for Plasma Equilibrium Simulations in Tokamaks accepted in Proceedings of ECMI 2016, Santiago de Compostela, 2017
J. Blum, C. Boulbe, B. Faugeras, and H. Heumann Control methods for the optimization of plasma scenarios in a Tokamak accepted in IFIP Advances in Information and Communication Technology, System Modeling and Optimization, 2016
M. Blommaert, H. Heumann, M. Baelmans, N. R. Gauger and D. Reiter
Towards automated magnetic divertor design for optimal heat exhaust
ESAIM: Proceedings and Surveys, 53, 2016H. Heumann and R. Hiptmair
Stabilized Galerkin for Linear Advection of Vector Fields
Lecture Notes in Computational Science and Engineering, 103 2015H. Heumann
Differential Involutions, Discrete Differential Forms and Constraint Preserving Discretizations on Unstructured Meshes
Oberwolfach Reports 47/2013, 2013H. Heumann and R. Hiptmair
Stabilized Galerkin Methods for Magnetic Advection
Oberwolfach Reports 03/2013, 2013H. Heumann and R. Hiptmair
Discrete Lie Derivatives: The Eulerian Approach
Oberwolfach Reports 10/2010, 2010
Thesis
Eulerian and Semi-Lagrangian Methods for Advection-Diffusion of Differential Forms
PhD thesis, ETH Zürich, Switzerland, 2011Eine Metrik zur Klassifizierung von Neuronen
Diploma thesis, Universität Heidelberg, Germany, 2006
Book Chapters
- C. Gründl, H. Heumann, D. Peretti and C. Wagner
Numerical Methods for Risk Aggregation based on Copulas
Copulas: From Theory to Application in Finance, 2006
Technical Reports
B. Faugeras, J. Blum, H. Heumann and C. Boulbe Optimal control of a coupled partial and ordinary differential equations system for the assimilation of polarimetry Stokes vector measurements in tokamak free-boundary equilibrium reconstruction with application to ITER Inria Research Report 9014, 2017
B. Faugeras and H. Heumann FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains Inria Research Report 9016, 2017
H. Heumann, L. Drescher and K. Schmidt A High Order Method for Contour Integrals with an Application to Plasma Modeling in Nuclear Fusion Inria Research Report 8948, 2016
H. Heumann and F. Rapetti A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries INRIA Research Report 8916, 2016
H. Heumann, R. Hiptmair and C. Pagliantini
Stabilized Galerkin for Transient Advection of Differential Forms
Seminar for Applied Mathematics, ETH Zürich, 2015-06, 2015H. Heumann and R. Hiptmair
Stabilized Galerkin Methods For Magnetic Advection
Seminar for Applied Mathematics, ETH Zürich, 2012-26, 2012H. Heumann and R. Hiptmair
Refined convergence theory for semi-Lagrangian schemes for pure advection
Seminar for Applied Mathematics, ETH Zürich, 2011-60, 2011H. Heumann and R. Hiptmair
Convergence of lowest order semi-Lagrangian schemes
Seminar for Applied Mathematics, ETH Zürich, 2011-47, 2011H. Heumann, R. Hiptmair, K. Li and J. Xu
Semi-Lagrangian Methods for Advection of Differential Forms
Seminar for Applied Mathematics, ETH Zürich, 2011-21, 2011S. Kurz and H. Heumann
Transmission Conditions in pre-metric Electrodynamics
Seminar for Applied Mathematics, ETH Zürich, 2010-28, 2011H. Heumann, R. Hiptmair and J. Xu
A semi-{L}agrangian Method for Convection of Differential Forms
Seminar for Applied Mathematics, ETH Zürich, 2009-09, 2009H. Heumann and R. Hiptmair
Extrusion Contraction Upwind Schemes for Convection-Diffusion Problems
Seminar for Applied Mathematics, ETH Zürich, 2008-30, 2008