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  1. No Access

    Article

    A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems

    It is still an open problem to prove a priori error estimates for finite volume schemes of higher order MUSCL type, including limiters, on unstructured meshes, which show some improvement compared to first ord...

    Dietmar Kröner, Mirko Rokyta in Bulletin of the Brazilian Mathematical Society, New Series (2016)

  2. No Access

    Article

    Concentrated monotone measures with non-unique tangential behavior in ℝ3

    We show that for every ɛ > 0 there is a set A ⊂ ℝ3 such that H 1 ⌞A is a monotone measure, the corresponding tangent measures at the origin are non-conical and non-unique and H 1 ⌞

    Robert Černý, Jan Kolář, Mirko Rokyta in Czechoslovak Mathematical Journal (2011)

  3. No Access

    Article

    Foreword

    Eduard Feireisl, Mirko Rokyta, Josef Málek, Michael Růžička… in Applications of Mathematics (2006)

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    Article

    Foreword

    Eduard Feireisl, Josef Málek, Antonín Novotný, Mirko Rokyta… in Applications of Mathematics (2004)

  5. No Access

    Chapter

    Replacing H by H2

    We study higher order MUSCL type finite volume scheme applied to linear convection dominated diffusion problem in a bounded convex domain Ω ⊂ ℝ2. Although the original problem is linear, the numerical problem bec...

    Mirko Rokyta in Applied Nonlinear Analysis (2002)

  6. No Access

    Book

    Advances in Mathematical Fluid Mechanics

    Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999

    Josef Málek, **dřich Nečas… (2000)

  7. No Access

    Article

    Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions

    We prove convergence of a class of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions. The result is applied to the discontinuous Galerkin...

    Dietmar Kröner, Sebastian Noelle, Mirko Rokyta in Numerische Mathematik (1995)