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Heine, Claus-Justus

Claus-Justus Heine

AOR Dr.

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

Contact

+49 711 685 65558
+4971168565507
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
  - Link
  BibTeX
  @article{gaspoz_optimal_2016, 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}, journal = {{IMA} Journal of Numerical Analysis}, number = 3, pages = {1217--1241}, title = {Optimal Grading of the Newest Vertex Bisection and H1-Stability of the L2-Projection}, url = {http://dx.doi.org/10.1093/imanum/drv044}, volume = 36, year = 2016 }
  Link
  http://dx.doi.org/10.1093/imanum/drv044
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 / Mathematische Fakultät, Freiburg. Freiburg: Math. Inst.
  - BibTeX
  BibTeX
  @book{heine2004isoparametric, author = {Heine, Claus-Justus}, institution = {Mathematisches Institut}, language = {eng}, location = {Freiburg}, number = {2004, 26}, pagetotal = {17}, publisher = {Math. Inst.}, series = {Preprint / Mathematische Fakultät, Freiburg}, 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.
  - BibTeX
  BibTeX
  @thesis{heine_computations_2003, author = {Heine, C.-J.}, institution = {{RWTH} Aachen}, title = {Computations of form and stability of rotating drops with finite elements}, type = {phdthesis}, year = 2003 }

Teaching

Summer term 2017

Blockkurs: Implementierung Finiter Elemente mit Dune::Fem

Further information

Claus-Justus Heine

Contact

Subject

Publications

2016

BibTeX

Link

2013

BibTeX

2010

BibTeX

2008

BibTeX

2006

BibTeX

2004

BibTeX

2003

BibTeX

Teaching

Summer term 2017

Numerical Mathematics for High Performance Computing

Audience

Formalities

Services

Organization

Claus-Justus Heine

Contact

Subject

Publications

2016

BibTeX

Link

2013

BibTeX

2010

BibTeX

2008

BibTeX

2006

BibTeX

2004

BibTeX

2003

BibTeX

Teaching

Summer term 2017

Numerical Mathematics for High Performance Computing

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Audience

Formalities

Services

Organization