Publications

Doctoral thesis

Habilitation thesis

Articles in Journals

[2] J. Felcman and V. Dolejsi : Adaptive Methods for the Solution of the Euler Equations in Elements of the Blade Machines. ZAMM, 76:301-304, 1996.

[3] J. Felcman and V. Dolejsi : Numerical Solution of Compresssible Flow. ZAMM, 77:473-476, 1997.

[4] J. Felcman and V. Dolejsi: Investigation of accuracy for higher order finite volume schemes. Journal of Engineering Mechanics, 5: 327-337, 1998.

[5] V. Dolejsi: Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes. Computing and Visualisation in Science, 1:165-178, 1998.

[6] P. Angot, V. Dolejsi, M. Feistauer and J. Felcman: Analysis of a Combined Barycentric Finite Volume - Nonconforming Finite Element Method for Nonlinear Convection - Diffusion Problem. Aplications of Mathematics, 43(4):263-310, 1998.

[7] V. Dolejsi, M. Feistauer and J. Felcman: On the discrete Friedrichs Inequality for nonconforming finite elements, Numerical Functional Analysis and Optimization, 20(5&6):437-447, 1999.

[8] V. Dolejsi, M. Feistauer, J. Felcman, and A. Klikova: Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. Aplications of Mathematics, 47(4):301-340, 2002.

[9] V. Dolejsi and J. Felcman: Anisotropic mesh adaptation and its application for scalar diffusion equations. Numerical Methods for Partial Differential Equations, 20:576-608, 2004.

[10] V. Dolejsi: Anisotropic Mesh Adaptation Technique for Viscous Flow Simulation. East-West Journal of Numerical Mathematics, 9(1):1-24,2001.

[11] V. Dolejsi, M. Feistauer, C. Schwab: A Finite Volume Discontinuous Galerkin Scheme for Nonlinear Convection-Diffusion Problems. Calcolo 39, 1-40, 2002. Also Preprint ETH Zurich, January 2001.

[12] M. Breuss, V. Dolejsi, A. Meister. On an adaptive method for heat conduction problems with boundary layers. Computing and Visualisation in Science (submitted), also Preprint Hamburger Beitrage zur Angenwandten Mathematik, June 2001.

[13] V. Dolejsi, M. Feistauer and C. Schwab: On some aspects of the Discontinuous Galerkin finite element method for conservation laws. Mathematics and Computers in Simulation, 61:333--346, 2003.

[14] V. Dolejsi and J. Felcman: Numerical Methods for Hyperbolic Systems - Application in Fluid Dynamics, Journal of Engineering Mechanics, 9(3):139--152, 2002.

[15] V. Dolejsi: Numerical simulation of compressible flow through cascade of profiles, TASK Quarterly, 6(1):177-186, 2002.

[16] V. Dolejsi, M. Feistauer and C. Schwab: On Discontinuous Galerkin Methods for Nonlinear Convection-Diffusion Problems and Compressible Flow, Mathematica Bohemica, 127(2):163-179, 2002.

[17] V. Dolejsi: On the Discontinuous Galerkin Method for the Numerical Solution of the Navier-Stokes Equations, Int. J. Numer. Methods Fluids, 45:1083-1106, 2004..

[18] V. Dolejsi, M. Feistauer: A Semi-Implicit Discontinuous Galerkin Finite Element Method for the Numerical Solution of Inviscid Compressible Flow, J. Comp. Phys., 198(2): 727-746, 2004.

[19] V. Dolejsi, M. Feistauer, V. Sobotikova: Analysis of the Discontinuous Galerkin Method for Nonlinear Convection--Diffusion Problems, Comput. Methods Appl. Mech. Eng. (to appear). Also The Preprint Series of the School of Mathematics, Charles University Prague, No. MATH-KNM-2004/4, 2004 (revised)

[20] V. Dolejsi, M. Feistauer: Error estimates of the discontinuous Galerkin method for nonlinear nonstationary convection-diffusion problems, Numerical Functional Analysis and Optimization, (submitted) Also The Preprint Series of the School of Mathematics, Charles University Prague, No. MATH-KNM-2004/5, 2004

[21] V. Dolejsi, M. Feistauer: Analysis of Semi-Implicit DGFEM for Nonlinear Convection-Diffusion Problems, Numerische Mathematik, (submitted). Also The Preprint Series of the School of Mathematics, Charles University Prague, No. MATH-KNM-2004/1, 2004

Articles in proceedings of conferences

Abroad

[2] J. Felcman, V. Dolejsi and M. Feistauer: Adaptive Finite Volume Method for the Numerical Solution of the Compressible Euler Equations. In S.Wagner, E.H.Hirschel, J.Periaux and R.Piva, editors, Computational Fluid Dynamics '94, pages 894-901, John Wiley and Sons, Stuttgart, 1994. ISBN 0-471-950637.

[3] J. Felcman and V. Dolejsi : Adaptive Methods in Internal and External Flow Computations. In M.Brons, M.P.Bendsoe and M.P.Sorensen, editors, Progress in Industrial Mathematics at ECMI 96, pages 424-431, B.G.Teubner, Stuttgart, 1997. ISBN 3-519-02607-4

[4] V. Dolejsi: Adaptive Methods for the Numerical Simulation of the Compressible Navier-Stokes Equations. In K.D. Papailiou, D.Tsahalis, J.Periaux, C.Hirsch, and M.Pandolfi, editors, Computational Fluid Dynamics'98, volume1, pages 393-397. ECCOMAS, John Wiley & Sons, 1998.

[5] V. Dolejsi: Numerical simulation of compressible viscous flow. In M. Deville and R. Owens, editors, Proccedings of 16th IMACS World Congres 2000. EPFL Lausanne, Switzerland, 2000. ISBN 3-9522075-1-9.

[6] V. Dolejsi: Numerical Simulation and Adaptive Methods for Transonic Flow. In ECCOMAS 2000, CD-Rom, Barcelona, Spain, 2000. ISBN 84-89925-70-4.

[7] V. Dolejsi: Numerical simulation of compressible flow through cascade of profiles. In proceeding of Seminar/Summer School CFD for Turbomachinery Applications, September 1-3, 2001, Gdansk, CD-Rom, 2001.

[8]J. Felcman, V. Dolejsi: Mathematical modelling of 3D flow problems. In R. Kaszynski (eds): Proceeding of 7th IEEE International Conference on Methods and Models in Automation and Robotics, volume 1, pages 39-44, Technical University of Szczecin, 2001.

[9] V. Dolejsi and M. Feistauer: On the Discontinuous Galerkin Method for the Numerical Solution of Compressible High-Speed Flow In F. Brezzi, A. Buffa, S. Corsaro, A. Murli (eds): Numerical Mathematics and Advanced Applications, ENUMATH 2001, pages 65-84, Springer-Verlag, Italia, 2003.

[10] V. Dolejsi: A higher order scheme based on the finite volume approach. In R. Herbin and D. Kroner , editors, Finite Volumes for Complex Applications III (Problems and Perspectives), pages 333-340, Hermes, 2002.

[11] V. Dolejsi: Anisotropic mesh adaptation method for computational mechanics problems, In K. J.Bathe, editor, Computational Fluid and Solid Mechanics 2003, vol. 2, pages 1925-1928, 2003.

In Czech Republic

[2] V. Dolejsi : Higher Order Finite Volume Methods for Compressible Flows. In K.Kozel and J.Pri hoda, editors, Dynamika tekutin'96, pages 7-8, Ustav termomechaniky AV CR, Praha, 1996. ISBN 80-85918-23-4.

[3] V. Dolejsi, M. Feistauer and J. Felcman: Algebraic turbulence model for unstrusctured meshes. In P.Jonas and V.Uruba, editors, Dynamika tekutin'97, pages 9-10, Ustav termomechaniky AV CR, Praha, 1997. ISBN 80-85918-29-3

[4] M. Feistauer, V. Dolejsi and J. Felcman: Higher Order Adaptive Methods for the Solution of Transonic Flows. In K.Kozel and J.Pri hoda, editors, Aktualni problemy mechaniky tekutin'96, Ustav termomechaniky AV CR, Praha, 1996. ISBN 80-85918-17-X

[5] V. Dolejsi : Anisotropic Mesh Adaption for Compressible Flows. In K.Kozel and J.Pri hoda, editors, Aktualni problemy mechaniky tekutin'97, pages 13-14, Ustav termomechaniky AV CR, Praha, 1997. ISBN 80-85918-26-9.

[6] V. Dolejsi : Numerical Solver for Compressible Flows - Anisotropic Mesh Adaption. In M. Feistauer, R.Rannacher and K.Kozel, editors, Numerical Modelling in Continuum Mechanics, pages 246-253, Matfyzpress, Praha, 1997. ISBN 80-85863-25-1.

[7] M. Feistauer, V. Dolejsi, J. Felcman, A. Klikova: Adaptive mesh refinement for problems of fluid dynamics, Proceedings of the colloquium FLUID DYNAMICS 99, Institute of Thermomechanics of the Czech Academy of Sciences, Praha, October 1999, 53-60.

[8] M. Feistauer, V. Dolejsi, J. Felcman, A. Klikova and M. Rokyta: Numerical schemes for nonlinear convection-diffusion problems, theory and applications, Proceedings of the international conference Software and Algorithms of Numerical Mathematics, Nectiny, September 1999, 71-74, ISBN 80-7082-566-9.

[9] J. Felcman, V. Dolejsi, M. Feistauer and P. Solin: Numerics for convection dominated flow, Proceedings of the international conference Software and Algorithms of Numerical Mathematics}, Nectiny, September 1999, 75-94, ISBN 80-7082-566-9.

[10] V. Dolejsi : Adaptation of Triangular Meshes in Continuum Mechanics. In M. Feistauer, R.Rannacher and K.Kozel, editors, Numerical Modelling in Continuum Mechanics, proccedings of the 4th Summer Conference, Prague, 31st July - 3rd August 2000, pages 88-97.

[11] V. Dolejsi, M. Feistauer: Discontinuous Galerkin method for compressible flow, In K. Kozel, J. Prihoda, M. Feistauer (editors): 4th Seminar Euler and Navier Stokes Equations, Institute of Thermodynamics, Academy of Science, Prague, May 23-25, 2000, pages 31-34.

[12] V. Dolejsi, J. Felcman: An Alternative Mathematical Formulation of Anisotropic Mesh Adaptation, Proceedings of the international conference Software and Algorithms of Numerical Mathematics, Kvilda, September 2001, pages 41-58, 2002.

[12] M. Bejcek, V. Dolejsi and M. Feistauer: On Discontinuous Galerkin Method for Numerical Solution of Conservation Laws and Convection--Diffusion Problems. Proceedings of the international conference Software and Algorithms of Numerical Mathematics, Kvilda, September 2001, pages 7-32, 2002.

[13] V. Dolejsi ,J.Felcman: Anisotropic mesh adaptation for transonic and supersonic flow simulation. In A. Handlicova, Z. Kriva, K. Mikola, D. Sevcovic, editors, Algoritmy 2002, 16th Conference on Scientific Computing, Slovak Univeristy of Technology, Bratislava, pages 78-85, 2002.

Unpublished preprints

[2] V. Dolejsi : Sur des methodes combinant des volumes finis et des elements finis pour l'ecoulement des fluides compressibles sur des maillages non conformes I. February 1996, Prague-Marseille. (in French)

[3] V. Dolejsi : Sur des methodes combinant des volumes finis et des elements finis pour l'ecoulement des fluides compressibles sur des maillages non conformes II. September 1996, Prague-Marseille. (in French)

[4] V. Dolejsi and J. Felcman: Numerical Solution of Compressible Flow through Cascade of Profile. May 1996, Prague.

[5] V. Dolejsi and J. Felcman: Multilevel Adaptive Methods for the Solution of the Euler Equation. May 1996, Prague.

[6] V. Dolejsi and J. Felcman: Computation of Viscous Compressible Flows in the GAMM - channel. May 1996, Prague.

[7] V. Dolejsi, M. Feistauer and J. Felcman: Algebraic turbulence models for unstructured meshes. September 1998, Prague.

Software products

[2] V. Dolejsi : Anisotropic mesh generator, MFF UK Praha, 1996. Version 1.0, 270 kB.

[3] V. Dolejsi : Higher order schemes for FVM MFF UK Praha, 1996. Version 1.0, 80 kB.

[4] V. Dolejsi : Anisotropic mesh generator, MFF UK Praha, 1997. Version 2.0, 260 kB.

[5] V. Dolejsi : Combined triangular FV - FE schemes for compressible flow, MFF UK Praha, 1998. Version 1.0, 600 kB.

[6] V. Dolejsi : Anisotropic mesh generator, MFF UK Praha, 2000. Version 3.0, 240 kB.

[7] V. Dolejsi : FVEM, combined FV - FE schemes for the numerical simulation of compressible flow, MFF UK Praha, 2000. Version 1.0, 1130 kB.

[8] V. Dolejsi: DGM 1.0, Discontinuous Galerkin method for the simulation of compressible flow. MFF UK Praha, 2001. Version 1.0, 800 kB.

[9] V. Dolejsi : DGM 2.0, Discontinuous Galerkin method for the simulation of viscous compressible flow. MFF UK Praha, 2002. Version 2.0, 1.2 MB.

[10] V. Dolejsi: DGM 3.0, Discontinuous Galerkin method for the simulation of viscous compressible flow. MFF UK Praha, 2003. Version 3.0, 1.4 MB.