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Research Output 1997 2019

  • 1309 Citations
  • 20 h-Index
  • 63 Article
  • 12 Conference contribution
  • 7 Chapter
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Conference contribution
2019

New stabilized discretizations for poroelasticity equations

Gaspar, F. J., Rodrigo, C., Hu, X., Ohm, P., Adler, J. & Zikatanov, L., Jan 1 2019, Numerical Methods and Applications - 9th International Conference, NMA 2018, Revised Selected Papers. Kolkovska, N., Georgiev, K. & Nikolov, G. (eds.). Springer Verlag, p. 3-14 12 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11189 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Poroelasticity
Consolidation
Conservation
Mechanics
Discretization
2018

Discrete energy laws for the first-order system least-squares finite-element approach

Adler, J. H., Lashuk, I., MacLachlan, S. P. & Zikatanov, L. T., Jan 1 2018, Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers. Lirkov, I. & Margenov, S. (eds.). Springer Verlag, p. 3-20 18 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10665 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

First-order System
Partial differential equations
Least Squares
Finite Element
Energy

Fourier method for approximating eigenvalues of indefinite stekloff operator

Wu, Y. & Zikatanov, L., Jan 1 2018, High Performance Computing in Science and Engineering - 3rd International Conference, HPCSE 2017, Revised Selected Papers. Sistek, J., Tichy, P., Kozubek, T., Cermak, M., Lukas, D., Jaros, J. & Blaheta, R. (eds.). Springer Verlag, p. 34-46 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11087 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Helmholtz equation
Fourier Method
Helmholtz Equation
Eigenvalue
Computing
2015
1 Citation (Scopus)

Fast constrained image segmentation using optimal spanning trees

Harizanov, S., Margenov, S. & Zikatanov, L., Jan 1 2015, Large-Scale Scientific Computing - 10th International Conference, LSSC 2015, Revised Selected Papers. Lirkov, I., Margenov, S. D. & Waśniewski, J. (eds.). Springer Verlag, p. 15-29 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 9374).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Spanning tree
Image segmentation
Image Segmentation
Voxel
Approximation Error
2014

Space decompositions and solvers for discontinuous galerkin methods

de Dios, B. A. & Zikatanov, L., Jan 1 2014, Domain Decomposition Methods in Science and Engineering XXI. Sassi, T., Pichot, G., Gander, M. J., Erhel, J., Widlund, O. & Halpern, L. (eds.). Springer Verlag, p. 3-15 13 p. (Lecture Notes in Computational Science and Engineering; vol. 98).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Discontinuous Galerkin Method
Galerkin methods
Decomposition
Decompose
2013

Visible Points in Convex Sets and Best Approximation

Deutsch, F., Hundal, H. & Zikatanov, L., Jan 1 2013, Computational and Analytical Mathematics: In Honor of Jonathan Borwein's 60th Birthday. Springer New York LLC, p. 349-364 16 p. (Springer Proceedings in Mathematics and Statistics; vol. 50).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Best Approximation
Convex Sets
Point Sets
Robotics
Concepts
2011

A simple preconditioner for the SIPG discretization of linear elasticity equations

Ayuso, B., Georgiev, I., Kraus, J. & Zikatanov, L. T., Mar 1 2011, Numerical Methods and Applications - 7th International Conference, NMA 2010, Revised Papers. p. 353-361 9 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 6046 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Interior Penalty
Discontinuous Galerkin
Linear Elasticity
Preconditioner
Elasticity
2 Citations (Scopus)

A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin Discretization

Ayuso, B. & Zikatanov, L. T., Jan 1 2011, Domain Decomposition Methods in Science and Engineering XIX. Springer Verlag, p. 335-342 8 p. (Lecture Notes in Computational Science and Engineering; vol. 78 LNCSE).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Interior Penalty
Discontinuous Galerkin
Iterative methods
Discretization
Iteration
2009
5 Citations (Scopus)

Energy minimizing bases for efficient multiscale modeling and linear solvers in reservoir simulation

Dubois, O., Mishev, I. D. & Zikatanov, L., Nov 20 2009, SPE Reservoir Simulation Symposium Proceedings. p. 965-974 10 p. (SPE Reservoir Simulation Symposium Proceedings; vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Coarsening
Flow simulation
Two phase flow
modeling
simulation
2008
4 Citations (Scopus)

A posteriori error estimator and AMR for discrete ordinates nodal transport methods

Duo, J. I., Azmy, Y. Y. & Zikatanov, L. T., Dec 1 2008, International Conference on the Physics of Reactors 2008, PHYSOR 08. p. 477-484 8 p. (International Conference on the Physics of Reactors 2008, PHYSOR 08; vol. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

estimators
norms
resources
Fluxes
gradients
1 Citation (Scopus)

Feasibility study on embedded transport core calculations

Ivanov, B., Zikatanov, L. T. & Ivanov, K., Sep 26 2008, Societe Francaise d'Energie Nucleaire - International Congress on Advances in Nuclear Power Plants - ICAPP 2007, "The Nuclear Renaissance at Work". p. 817-823 7 p. (Societe Francaise d'Energie Nucleaire - International Congress on Advances in Nuclear Power Plants - ICAPP 2007, "The Nuclear Renaissance at Work"; vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Finite element method
Boundary conditions
6 Citations (Scopus)

Preconditioning of symmetric interior penalty discontinuous galerkin FEM for elliptic problems

Dobrev, V. A., Lazarov, R. D. & Zikatanov, L. T., Dec 1 2008, Domain Decomposition Methods in Science and Engineering XVII. p. 33-44 12 p. (Lecture Notes in Computational Science and Engineering; vol. 60).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Interior Penalty
Discontinuous Galerkin
Preconditioning
Elliptic Problems
Constant function