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Heine, Claus-Justus

Claus-Justus Heine

AOR Dr.

Computeradministration
Faculty 8
Department of Mathematics

Contact

+49 711 685 65558
Email

Pfaffenwaldring 57
70569 Stuttgart
Germany
Room: 8.154

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
  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, C.-J., 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, B. Pichler, & D. Adam (Eds.), Poromechanics (Vol. V, pp. 1964--1972). ASCE.
  - BibTeX
  BibTeX
  @inproceedings{heine_multiscale_2013, author = {Heine, C.-J. and Möller, C.A. and Peter, M.A. and Siebert, K. G.}, booktitle = {Poromechanics}, doi = {http://dx.doi.org/10.1061/9780784412992.232}, editor = {Hellmich, C. and Pichler, B. and Adam, D.}, pages = {1964--1972}, publisher = {{ASCE}}, title = {Multiscale adaptive simulations of concrete carbonation taking into account the evolution of the microstructure}, volume = {V}, 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
  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, C.-J. Finite element methods on unfitted meshes. Preprint Fak. f. Math. Phys. Univ. Freiburg, (8).
  - BibTeX
  BibTeX
  @article{heine_finite_2008, author = {Heine, C.-J.}, journal = {Preprint Fak. f. Math. Phys. Univ. Freiburg}, number = 8, title = {Finite element methods on unfitted meshes}, year = 2008 }
2006
1. Heine, C.-J. Computations of form and stability of rotating drops with finite elements. IMA J. Numer. Anal., 26(4), 723--751.
  - BibTeX
  BibTeX
  @article{heine_computations_2006, author = {Heine, C.-J.}, journal = {{IMA} J. Numer. Anal.}, 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
  BibTeX
  @article{heine_isoparametric_2004, author = {Heine, C.-J.}, journal = {Preprint Fak. f. Math. Phys. Univ. Freiburg}, number = 26, title = {Isoparametric finite element approximation of curvature on hypersurfaces}, year = 2004 }
2003
1. Heine, C.-J. Computations of form and stability of rotating drops with finite elements (Dissertation). Aachen.
  - BibTeX
  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

Claus-Justus Heine

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Subject

Publications

2016

BibTeX

2013

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2010

BibTeX

2008

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2006

BibTeX

2004

BibTeX

2003

BibTeX

Teaching

Summer term 2017

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