List of found citations

List of found citations

G. Bencheva, Comparative analysis of marching algorithms for separable elliptic problems, Numerical Analysis and its Applications, Springer LNCS, 1988 (2001), 76--83.
in:
1. Serra-Capizzano, S., Tablino-Possio, C., Constructive techniques for approximating collocation linear systems, Numerical Algorithms 25 (1-4), (2000) pp. 323-339
2. E. Gallopoulos, Rapid Elliptic Solvers, In: Encyclopedia of Parallel Computing, Springer 2011, Part 18, 1719-1728, DOI: 10.1007/978-0-387-09766-4_496
G. Bencheva, MPI parallel implementation of a fast separable solver, Large-Scale Scientific Computing, Springer LNCS, 2179 (2001), 454 - 461.
in:
1. N. H. F. Beebe, A bibliography of publications about PVM and MPI. 2007 (http://ftp.math.utah.edu/pub/tex/bib/pvm.ps.gz)
G. Bencheva, S. Margenov, Parallel incomplete factorization preconditioning of rotated linear FEM systems, Journal of Computational and Applied Mechanics, 4(2) (2003), 105-117.
in:
1. Ivan Georgiev, Iterative methods for non-conforming finite elements, PhD Thesis (in Bulgarian) 2006
2. Vutov, Y., Parallel incomplete factorization of 3D NC FEM elliptic systems, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 4310 LNCS, (2007) pp. 114-121
3. I. Lirkov, Y. Vutov, Comparative Analysis of High Performance Solvers for 3D Elliptic Problems, Proceedings of the International Multiconference on Computer Science and Information Technology, Volume 2, M. Ganzha, M. Paprzycki, T. Pelech-Pilichowski eds., 2007, 483-492.
4. J. Izadian, S. S. Jalalian, M. Jalili, A New Method for Solving 3D Elliptic Problem with Dirichlet or Neumann Boundary Conditions Using Finite Difference Method, Applied Mathematical Sciences, Vol. 6, 2012, no. 34, 1655 - 1666 http://www.m-hikari.com/ams/ams-2012/ams-33-36-2012/index.html
5. I. Gustafsson, G. Lindskog, On parallel solution of linear elasticity problems. Part III: Higher order finite elements, Chalmers Publcation Library, Preprint 93582, 2012
6. Maria Lymbery, Optimal multilevel methods for conforming quadratic, biquadratic and bicubic finite elements, PhD Thesis (in Bulgarian), 2013
7. Jianfei Zhang, A PETSc-based parallel implementation of Finite Element Method for elasticity problems, Mathematical Problems in Engineering, Hindawi Publishing Corporation, Dec. 2014 (http://www.hindawi.com/journals/mpe/aip/147286/)
8. Yavor Vutov, Parallel iterative methods for nonconforming finite elements, PhD Thesis (in Bulgarian), 2015
G. Bencheva, S. Margenov, Performance analysis of a parallel MIC(0) preconditioning of rotated bilinear nonconforming FEM systems, Mathematica Balkanica, 17 (2003), 319-335.
in:
1. Ivan Georgiev, Iterative methods for non-conforming finite elements, PhD Thesis (in Bulgarian) 2006
2. Kalinkin, A.A., Laevsky, Yu.M., Preconditioning of grid Lame equations in the nonconforming finite element method, Russian Journal of Numerical Analysis and Mathematical Modelling 22 (1), (2007) pp. 39-62 (IF 2007 - 0.153, IF 2008 - 0.305, IF 2009 - 0.485)
3. Yavor Vutov, Parallel iterative methods for nonconforming finite elements, PhD Thesis (in Bulgarian), 2015
G. Bencheva, Parallel performance comparison of three direct separable elliptic solvers, Large-Scale Scientific Computing, Springer LNCS, 2907 (2004), 421--428,
in:
1. E. Gallopoulos, Rapid Elliptic Solvers, In: Encyclopedia of Parallel Computing, Springer 2011, Part 18, 1719-1728, DOI: 10.1007/978-0-387-09766-4_496
2. E. Gallopoulos, B. Philippe, A. H. Sameh, Special Linear Systems, In: Parallelism in Matrix Computations, Scientific Computation Series, Springer Netherlands 2016, 165--225, ISBN:978-94-017-7187-0; DOI:10.1007/978-94-017-7188-7_6; (Published online 26 Jul 2015)
G. Bencheva, I. Georgiev, S. Margenov, Two-level preconditioning of Crouzeix-Raviart anisotropic FEM systems, Large-Scale Scientific Computing, Springer LNCS, 2907 (2004), 76--84.
in:
1. P. Boyanova, Optimal multilevel methods for non-conforming finite elements, PhD Thesis (in Bulgarian) 2011;
2. P. Boyanova. OPTIMAL MULTILEVEL METHODS FOR NON-CONFORMING FI\-NI\-TE ELEMENTS, Abstracts of dissertations IICT-BAS 2/2012 (Online ISSN: 1314-6351);
3. P. Boyanova, On Numerical Solution Methods for Block-Structured Discrete Systems, Doctoral thesis, Uppsala Publisher: Acta Universitatis Upsaliensis, 2012, Series:Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, (ISSN 1651-6214; 942, ISBN:978-91-554-8386-9).
G. Bencheva, S. Margenov, J. Stary, Parallel PCG solver for nonconforming FE problems: overlapping of communications and computations, In: I. Lirkov, S. Margenov, J. Wasniewski (Eds.) LSSC 2005, Springer LNCS 3743 (2006), 646--654.
in:
1. I. Lirkov, Y. Vutov, Comparative Analysis of High Performance Solvers for 3D Elliptic Problems, Proceedings of the International Multiconference on Computer Science and Information Technology, Volume 2, M. Ganzha, M. Paprzycki, T. Pelech-Pilichowski eds., 2007, 483-492.
2. Ivan Lirkov and Yavor Vutov, The convergence rate and parallel performance of a 3D elliptic solver, Systems science, 32, No. 4, 2007, 73-81.
3. S. Choporov, Parallel Computing Technologies in the Finite Element Method, in Third International Conference "High Performance Computing" HPC-UA 2013 (Ukraine, \linebreak Kyiv, October 7-11, 2013), 85--91 http://hpc-ua.org/hpc-ua-13/proceedings/
G. Bencheva, S. Margenov, J. Stary, MPI Implementation of a PCG Solver for Nonconforming FEM Problems: Overlapping of Communications and Computations, Technical Report 2006-023, Uppsala University, 2006 (http://www.it.uu.se/research/publications/reports/2006-023/).
in:
1. Vutov, Y., Parallel incomplete factorization of 3D NC FEM elliptic systems, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 4310 LNCS, (2007) pp. 114-121
G. Bencheva, Comparative Analysis of Solution Methods for Delay Differential Equations in Haematology, Large-Scale Scientific Computing, Springer LNCS, 5910 (2010), 711--718.
in:
1. Raimund Burger, Ricardo Ruiz, Canrong Tian: Stability analysis and finite volume element discretization for delay-driven spatial patterns in a predator-prey model, Pre-Publicacion 2013-03, http://www.ci2ma.udec.cl/publicaciones/prepublicaciones/prepublicacion.php?id=112
2. Raimund Burger, Ricardo Ruiz-Baier, Canrong Tian, Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predatorprey model, Math. Comput. Simulation, Volume 132, February 2017, Pages 28–52 (Available online 30 June 2016), http://dx.doi.org/10.1016/j.matcom.2016.06.002
G. Bencheva, Computer modelling of haematopoietic stem cells migration, Computers & Mathematics with Applications, vol. 64(3) (2012), pp. 337-349, (doi:10.1016/j.camwa.2012.02.045).
in:
1. M. K. Kolev, M. N. Koleva and L. G. Vulkov, Two positivity preserving flux limited, second-order numerical methods for a haptotaxis model, Numerical Methods for Partial Differential Equations, Volume 29, Issue 4, pages 1121-1148, July 2013 Article first published online: 27 OCT 2012, DOI: 10.1002/num.21748, (Online ISSN: 1098-2426)
2. Robert Strehl, Advanced numerical treatment of chemotaxis driven PDEs in mathematical biology, Doctoral Thesis, Technical University Dortmund, 2013, Appears in Collection: Lehrstuhl III: Angewandte Mathematik und Numerik, http://hdl.handle.net/2003/30452

Last modified: November 2016