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AOR Dr.

Claus-Justus Heine

Research assistant
Institute of Applied Analysis and Numerical Simulation
Numerical Mathematics for High Performance Computing

Contact

+49 711 685-65558
+49 711 685-65507
Email

Pfaffenwaldring 57
70569 Stuttgart
Germany
Room: 7.152

Subject

Parallel-Adaptive Open Source Software for Diffusion Dominated Multi Field Processes

Publications

2016
1. Gaspoz, F. D., Heine, C.-J., & Siebert, K. G. Optimal Grading of the Newest Vertex Bisection and H1-Stability of the L2-Projection. IMA Journal of Numerical Analysis, 36(3), 1217–1241.
  - BibTeX
  @article{gaspoz2016optimal, abstract = {We show for adaptive triangulations in 2d, which are generated by the Newest Vertex Bisection, an optimal grading estimate. Roughly speaking, we construct from the piecewise constant mesh-size function a regularized one with the following two properties. First, the two functions are equivalent, and second, the regularized mesh-size function diers at most by a factor of 2 on neighboring elements. In combination with [1] this optimal grading estimate enables us to show that the L2-orthogonal projections onto the space of continuous Lagrange nite elements up to order twelve is H1-stable. We extend these results to a modied Red-Green-Renement.}, author = {Gaspoz, Fernando D. and Heine, Claus-Justus and Siebert, Kunibert G.}, doi = {10.1093/imanum/drv044}, issn = {0272-4979}, journal = {IMA Journal of Numerical Analysis}, language = {eng}, number = 3, pages = {1217-1241}, title = {Optimal Grading of the Newest Vertex Bisection and H1-Stability of the L2-Projection}, volume = 36, year = 2016 }
2013
1. Heine, Claus-Justus, Möller, C. A., Peter, M. A., & Siebert, K. G. Multiscale Adaptive Simulations of Concrete Carbonation Taking into Account the Evolution of the Microstructure. In C. Hellmich (Ed.), C. Hellmich, Poromechanics V (pp. 1964–1972). Wien: ASCE.
  - BibTeX
  @inproceedings{heine2013multiscale, author = {Heine, Claus-Justus and Möller, Christian A. and Peter, Malte A. and Siebert, Kunibert G.}, booksubtitle = {proceedings of the Fifth Biot Conference on Poromechanics : (in memory of Karl von Terzaghi, 1883 - 1963) : July 10 - 12, 2013, Vienna, Austria}, booktitle = {Poromechanics V}, doi = {10.1007/978-3-319-05591-6_88}, editor = {Hellmich, Christian}, eventdate = {2013-07-10/2013-07-12}, eventtitle = {5th Biot Conference on Poromechanics}, isbn = {978-0-7844-1299-2}, language = {eng}, location = {New York, NY}, pages = {1964-1972}, publisher = {ASCE}, title = {Multiscale Adaptive Simulations of Concrete Carbonation Taking into Account the Evolution of the Microstructure}, venue = {Wien}, year = 2013 }
2010
1. Deckelnick, K., Dziuk, G., Elliott, C. M., & Heine, C.-J. An h-narrow band finite-element method for elliptic equations on implicit surfaces, 30(2), 351–376.
  - BibTeX
  @article{deckelnick2010hnarrow, author = {Deckelnick, Klaus and Dziuk, Gerhard and Elliott, Charles M. and Heine, Claus-Justus}, doi = {10.1093/imanum/drn049}, issn = {{0272-4979} and {1464-3642}}, journalsubtitle = {IMAJNA}, journaltitle = {IMA Journal of Numerical Analysis}, language = {eng}, number = 2, pages = {351-376}, title = {An h-narrow band finite-element method for elliptic equations on implicit surfaces}, volume = 30, year = 2010 }
2008
1. Heine, Claus-Justus. Finite element methods on unfitted meshes. Preprint Series of the Department of Mathematics / Albert Ludwigs University of Freiburg, 08–09.
  - BibTeX
  @article{heine2008finite, author = {Heine, Claus-Justus}, language = {eng}, series = {Preprint Series of the Department of Mathematics / Albert Ludwigs University of Freiburg}, title = {Finite element methods on unfitted meshes}, volume = {08-09}, year = 2008 }
2006
1. Heine, Claus-Justus. Computations of form and stability of rotating drops with finite elements, 26(4), 723–751.
  - BibTeX
  @article{heine2006computations, author = {Heine, Claus-Justus}, journaltitle = {IMA Journal of Numerical Analysis}, language = {eng}, number = 4, pages = {723-751}, title = {Computations of form and stability of rotating drops with finite elements}, volume = 26, year = 2006 }
2004
1. Heine, C.-J. Isoparametric finite element approximation of curvature on hypersurfaces. Preprint Fak. f. Math. Phys. Univ. Freiburg, (26).
  - BibTeX
  @article{heine2004isoparametric, author = {Heine, C.-J.}, journal = {Preprint Fak. f. Math. Phys. Univ. Freiburg}, number = 26, owner = {szur}, title = {Isoparametric finite element approximation of curvature on hypersurfaces}, year = 2004 }
2003
1. Heine, Claus-Justus. Computations of form and stability of rotating drops with finite elements (PhD dissertation). Aachen.
  - BibTeX
  @phdthesis{heine2003computations, author = {Heine, Claus-Justus}, intitution = {RWTH Aachen}, language = {eng}, location = {Aachen}, pagetotal = {XI, 120}, title = {Computations of form and stability of rotating drops with finite elements}, type = {Dissertation}, year = 2003 }

Teaching

Summer term 2017

Blockkurs: Implementierung Finiter Elemente mit Dune::Fem

Further information

Claus-Justus Heine

Contact

Subject

Publications

2016

2013

2010

2008

2006

2004

2003

Teaching

Summer term 2017

Numerical Mathematics for High Performance Computing