Keywords:
Publications of Kučera, Václav
2017
A priori diffusion-uniform error estimates for nonlinear singularly perturbed problems: BDF2, midpoint and time DG (2017), in: ESAIM: M2AN, 51:2(537 - 563) | and ,
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2016
Cell Segmentation Using Level Set Methods with a New Variance Term, in: Image Analysis and Recognition, pages 183-190, Springer, 2016 | , and ,
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Finite element error estimates for nonlinear convective problems (2016), in: J. Numer. Math., 24:3(143-165) | ,
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Several notes on the circumradius condition (2016), in: Appl. Math., 61:3(287-298) | ,
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2015
Numerical Solution of a New Hydrodynamic Model of Flocking, in: Programs and Algorithms of Numerical Mathematics 17, pages 124-129, Institute of Mathematics Academy of Sciences of the Czech Republic, 2015 | and ,
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Semi-implicit DGM applied to a model of flocking, in: Numerical Mathematics and Advanced Applications ENUMATH 2015, pages 185-193, Springer, 2015 | and ,
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2014
On diffusion-uniform error estimates for the DG method applied to singularly perturbed problems (2014), in: Ima J. Numer. Anal., 34:2(820-861) | ,
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2013
Convergence of finite element methods for nonlinear convective problems, in: Proceedings of SNA 2013, 2013 | ,
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DGFEM for dynamical systems describing interaction of compressible fluid and structures (2013), in: J. Comput. Appl. Math., 254(17--30) | , , , and ,
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Discontinuous Galerkin method---a robust solver for compressible flow, in: Recent developments in the numerics of nonlinear hyperbolic conservation laws, pages 143--160, Springer, 2013 | , and ,
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Error estimates for nonlinear convective problems in the finite element moethods, in: Programs and Algorithms of Numerical Matematics 16, 2013 | ,
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Numerical simulation of fluid-structure interaction of compressible flow and elastic structure (2013), in: Computing, 95:1, suppl.(S343--S361) | , , , and ,
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Simulation of compressible viscous flow in time-dependent domains (2013), in: Appl. Math. Comput., 219:13 | , , , and ,
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2012
A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization, in: PANM 16 proceedings, pages 202-208, 2012 | and ,
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Application of reconstruction operators in the discontinuous Galerkin method, in: International Conference PRESENTATION of MATHEMATICS ’12, 2012 | ,
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Finite element error estimates for nonlinear convective problems, in: Proceedings of ALGORITMY 2012, pages 1--10, 2012 | ,
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On numerical solution of compressible flow in time-dependent domains (2012), in: Math. Bohem., 137:1(1--16) | , , and ,
Reconstruction Operators: From Finite Volumes to Discontinuous Galerkin, in: Proceedings of SNA 2012, 2012 | ,
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2010
Discontinuous Galerkin Solution of Compressible Flow in Time Dependent Domains (2010), in: Mathematics and Computers in Simulation, 80:8(1612-1623) | , and ,
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Optimal {$L^\infty (L^2)$-error} estimates for the DG method applied to nonlinear convection-diffusion problems with nonlinear diffusion (2010), in: Numerical Functional Analysis and Optimization, 31:1-3(285-312) | ,
2008
A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers, in: Proc. of the Conference Hyperbolic Problems:Theory, Numerics and Applications, pages 523--531, Springer-Verlag Berlin-Heidelberg, 2008 | and ,
An optimal {$L^\infty(L^2)$}-error estimate for the discontinuous {G}alerkin approximation of a nonlinear non-stationary convection-diffusion problem (2008), in: IMA J. Numer. Anal., 28:3(496--521) | , , and ,
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Analysis of the DGFEM for nonlinear convection-diffusion problems (2008), in: Electron. Trans. Numer. Anal., 32(33--48) | and ,
DG for compressible inviscid and viscous flows with a large range of Mach numbers, in: Proc. of Numerical Analysis and Applied Mathematics (ICNAAM2008), pages 847--850, 2008 | ,
Discontinuous Galerkin Simulation of Compressible Flow in Time-dependent Domains, in: Proceedings of Flow Induced Vibration, pages 73--78, Institute of Thermomechanics, Praha, 2008 | , and ,
2007
DG Method for the Solution of Compressible Flow in a Channel with Moving Walls, in: Proc. of Interaction and Feedbacks 2007, pages 19--24, Institue of Thermomechanics, Prague, 2007 | and ,
Discontinuous Galerkin Method for the Numerical Solution of Inviscid and Viscous Compressible Flow, in: Proc. of the conference ENUMATH 2007, Graz, 2007 | ,
Numerical Solution of Compressible Flow in a Channel with Moving Walls, in: Proc. of Colloquim Fluid Dynamics 2007, pages 45--46, Institue of Thermomechanics, Prague, 2007 | , and ,
On a robust discontinuous Galerkin technique for the solution of compressible flow (2007), in: J. Comput. Phys., 224:1(208--221) | and ,
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The Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations, in: Proc. of the conference Computational Methods and Applications 2007, 2007 | ,
The Discontinuous Galerkin Method for Viscous Compressible Flows, in: Proceedings of Topical Problems in Fluid Mechanics 2007, 2007 | ,
2006
A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers, in: Hyp06, 2006 | and ,
On necessary and sufficient conditions for finite element convergence, in: Numer. Math. | ,
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