Search Results - "Korotov, Sergey"

On dihedral angle sums and number of facets for product polytopes by Korotov, Sergey, Vatne, Jon Eivind

“…In this paper we present a method for computing the dihedral angle sums (and their two-sided estimates) of cartesian and skew product polytopes provided the…”
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Tight bounds for the dihedral angle sums of a pyramid by Korotov, Sergey, Lund, Lars Fredrik, Vatne, Jon Eivind

“…We prove that eight dihedral angles in a pyramid with an arbitrary quadrilateral base always sum up to a number in the interval (3π, 5π). Moreover, for any…”
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On degenerating finite element tetrahedral partitions by Korotov, Sergey, Křížek, Michal, Kučera, Václav

“…Degenerating tetrahedral partitions show up quite often in modern finite element analysis. Actually the commonly used maximum angle condition allows some types…”
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On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions by Brandts, Jan, Korotov, Sergey, Křížek, Michal

“…In this note we examine several regularity criteria for families of simplicial finite element partitions in R d , d ∈ { 2 , 3 } . These are usually required in…”
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Editors’ preface for the topical issue “Numerical Methods for Large-Scale Scientific Computing, II” by Karátson János, Korotov Sergey, Margenov Svetozar

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Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle by Korotov, Sergey, Krizek, Michal, Neittaanmaki, Pekka

“…We prove that a discrete maximum principle holds for continuous piecewise linear finite element approximations for the Poisson equation with the Dirichlet…”
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Conforming simplicial partitions of product-decomposed polytopes by Korotov, Sergey, Vatne, Jon Eivind

“…We propose some approaches for the generation of conforming simplicial partitions with various regularity properties for polytopic domains that are products or…”
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Divergence-free finite element spaces for stress tensors by Korotov, Sergey, Křížek, Michal

“…We construct finite element spaces of symmetric stress tensors that are exactly divergence-free. Moreover, their basis functions can be chosen so that they…”
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Editors’ preface for the topical issue “Advances in Numerical Analysis and Numerical Linear Algebra” by Cvetković Ljiljana, Korotov Sergey, Nistor Victor, Vulkov Lubin

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Red refinements of simplices into congruent subsimplices by Korotov, Sergey, Křížek, Michal

“…We show that in dimensions higher than two, the popular "red refinement" technique, commonly used for simplicial mesh refinements and adaptivity in the finite…”
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Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary by Karátson, János, Kovács, Balázs, Korotov, Sergey

“…Abstract The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called…”
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On Interpolation Error on Degenerating Prismatic Elements by Khademi, Ali, Korotov, Sergey, Vatne, Jon Eivind

“…We propose an analogue of the maximum angle condition (commonly used in finite element analysis for triangular and tetrahedral meshes) for the case of…”
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Longest-edge -section algorithms: Properties and open problems by Korotov, Sergey, Plaza, Angel, Suarez, Jose P

“…In this paper we survey all known (including own recent results) properties of the longest-edge -section algorithms. These algorithms (in classical and…”
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Global a posteriori error estimates for convection–reaction–diffusion problems by Korotov, Sergey

“…In this note we propose a nonstandard technique for constructing global a posteriori error estimates for the stationary convection–reaction–diffusion equation…”
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Goal-oriented a posteriori error estimates for transport problems by Kuzmin, Dmitri, Korotov, Sergey

“…Some aspects of goal-oriented a posteriori error estimation are addressed in the context of steady convection–diffusion equations. The difference between the…”
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The maximum angle condition is not necessary for convergence of the finite element method by Hannukainen, Antti, Korotov, Sergey, Křížek, Michal

“…We show that the famous maximum angle condition in the finite element analysis is not necessary to achieve the optimal convergence rate when simplicial finite…”
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On Nonobtuse Simplicial Partitions by Brandts, Jan, Korotov, Sergey, Křížek, Michal, Šolc, Jakub

“…This paper surveys some results on acute and nonobtuse simplices and associated spatial partitions. These partitions are relevant in numerical mathematics,…”
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Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling by Faragó, István, Karátson, János, Korotov, Sergey

“…Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous…”
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On numerical regularity of the face-to-face longest-edge bisection algorithm for tetrahedral partitions by Hannukainen, Antti, Korotov, Sergey, Křížek, Michal

“…The finite element method usually requires regular or strongly regular families of partitions in order to get guaranteed a priori or a posteriori error…”
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Qualitative properties of nonlinear parabolic operators by Faragó, István, Horváth, Róbert, Karátson, János, Korotov, Sergey

“…It is a natural expectation that the mathematical models of real-life phenomena have to possess some characteristic qualitative properties of the original…”
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