Department of Mathematics and Systems Analysis

Research reports by Sergey Korotov

Here are the reports authored by Sergey Korotov. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

A570: Janos Karatson, Sergey Korotov; Discrete maximum principles for FEM solutions of nonlinear elliptic systems [pdf][ps]; Received 2009-05-20 * elliptic system, finite element method, discrete maximum principle * AMS 65N50, 65M50 * 53 pages
A567: Antti Hannukainen, Sergey Korotov, Michal Krizek; On a bisection algorithm that produces conforming locally refined simplicial meshes [pdf][ps]; Received 2009-04-09 * bisection algorithm, simplicial elements, conforming finite element method, local refinements, nested meshes * AMS 65N50, 65M50 * 11 pages
A563: Dmitri Kuzmin, Sergey Korotov; Goal-oriented a posteriori error estimates for transport problems [pdf][ps]; Received 2009-02-10 * stationary convection-diffusion equations, the finite element method, a posteriori error estimates, goal-oriented quantities, mesh adaptation * AMS 65N15, 65N50, 76M30 * 16 pages
A561: Antti Hannukainen, Sergey Korotov, Michal Krizek; On nodal superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations [pdf][ps]; Received 2008-12-02 * higher order error estimates, tetrahedral and prismatic elements, superconvergence, averaging operators * AMS 65N30 * 13 pages
A559: Sergey Korotov, Michal Krizek, Jakub Solc; On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix [pdf][ps]; Received 2008-11-28 * discrete maximum principle, finite element method, acute triangulations, full diffusion tensor * AMS 65N30, 65N50 * 10 pages
A552: Janos Karatson, Sergey Korotov; A discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems [pdf][ps]; Received 2008-08-26 * elliptic system, maximum principles, finite element method, discrete maximum principle * AMS 65N30, 65N50 * 40 pages
A551: István Faragó, Janos Karatson, Sergey Korotov; Discrete maximum principles for the FEM solution of some nonlinear parabolic problems [pdf][ps]; Received 2008-08-26 * nonlinear parabolic problems, discrete maximum principle, finite element method * AMS 65M60, 65M50, 35B50 * 24 pages
A550: István Faragó, Róbert Horváth, Sergey Korotov; Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions [pdf][ps]; Received 2008-08-26 * nonstationary diffusion-reaction problem, maximum principle, mixed boundary conditions, linear finite elements, discrete maximum principle, simplicial partition, angle condition * AMS 65M60, 65M50, 35B50 * 21 pages
A549: Antti Hannukainen, Sergey Korotov, Tomás Vejchodský; On weakening conditions for discrete maximum principles for linear finite element schemes [pdf][ps]; Received 2008-08-26 * elliptic equations, maximum principles, finite element method, discrete maximum principle, monotone matrix, matrix irreducibility * AMS 65N30, 65N50 * 9 pages
A527: Janos Karatson, Sergey Korotov; Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems [pdf][ps] abstract: [pdf][ps]; Received 2007-08-08 * a posteriori error estimation, error control in energy norm, error estimates of functional type, elliptic equation of second order, elliptic equation of fourth order, second order elasticity system, mixed boundary conditions * AMS 65J05, 65J15, 65M60, 65N15, 65N30, 65N50 * 47 pages
A525: Jan Brandts, Sergey Korotov, Michal Krizek; The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem [pdf][ps] abstract: [pdf][ps]; Received 2007-07-13 / Revised 2007-07-18 * reaction-diffusion problem, maximum principle, finite element method, discrete maximum principle, simplicial partition, angle condition * AMS 65N30, 65N50 * 16 pages
A524: Dmitri Kuzmin, Antti Hannukainen, Sergey Korotov; A new a posteriori error estimate for convection-reaction-diffusion problems [pdf][ps] abstract: [pdf][ps]; Received 2007-05-23 * convection-reaction-diffusion, a posteriori error estimation, adaptivity * AMS 65N15, 65N50, 76M30 * 12 pages
A522: Antti Hannukainen, Sergey Korotov, Marcus Ruter; A posteriori error estimates for some problems in linear elasticity [pdf][ps] abstract: [pdf][ps]; Received 2007-03-27 * a posteriori error estimation, local errors, superconvergence, finite element method, linear elasticity, fracture mechanics * AMS 65N15, 65N30, 65N50 * 14 pages
A521: Sergey Korotov, Ales Kropac, Michal Krizek; Strong regularity of a family of face-to-face partitions generated by the longest-edge bisection algorithm [pdf][ps] abstract: [pdf][ps]; Received 2007-04-24 * Zlamal's minimum angle condition, simplicial elements, conforming finite element method, nested partitions * AMS 65M50, 65N30 * 18 pages
A517: Jan Brandts, Sergey Korotov, Michal Krizek; Simplicial finite elements in higher dimensions [pdf][ps] abstract: [pdf][ps]; Received 2007-02-07 * n-simplex, finite element method, superconvergence, strengthened Cauchy-Schwarz inequality, discrete maximum principle * AMS 65N30, 51M20 * 16 pages
A515: Sergey Korotov; Global a posteriori error estimates for convection-reaction-diffusion problems [pdf][ps] abstract: [pdf][ps]; Received 2006-12-08 * convection-reaction-diffusion equation, a posteriori error estimation, Friedrichs-Poincare inequality * AMS 65N15, 65N50, 76M30 * 13 pages
A510: Janos Karatson, Sergey Korotov; Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems [pdf][ps] abstract: [pdf][ps]; Received 2006-12-07 * nonlinear elliptic problem, interface problem, maximum principle, discrete maximum principle, finite element method, simplicial mesh * AMS 35B50, 35J65, 65N30, 65N50 * 23 pages
A506: Sergey Korotov; Error control in terms of linear functionals based on gradient averaging techniques [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * a posteriori error estimation, quantity of interest, finite element method, differential equation of elliptic type, linear elasticity, superconvergence * AMS 65N15, 65N30, 65N50 * 13 pages
A505: Jan Brandts, Sergey Korotov, Michal Krizek; On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * finite element method, inscribed ball, circumscribed ball, regular family of simplicial partitions, Zl'amal's condition * AMS 65N12, 65N30 * 11 pages
A504: Janos Karatson, Sergey Korotov, Michal Krizek; On discrete maximum principles for nonlinear elliptic problems [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * nonlinear elliptic problem, mixed boundary conditions, discrete maximum principle, finite element method, quadratures * AMS 65N30, 65N50, 35B50, 35J65 * 17 pages
A503: Jan Brandts, Sergey Korotov, Michal Krizek, Jakub Solc; On acute and nonobtuse simplicial partitions [pdf][ps] abstract: [pdf][ps]; Received 2006-07-25 * ortho-simplices, path-simplices, Delaunay triangulation, Kuhn partition, polytope * AMS 51M20, 65N30 * 17 pages
A498: Marcus Ruter, Sergey Korotov, Christian Steenbock; Goal-oriented error estimates based on different FE-spaces for the primal and the dual problem with applications to fracture mechanics [pdf][ps] abstract: [pdf][ps]; Received 2006-03-16 * A posteriori error estimation, finite elements, fracture mechanics * AMS 65N15, 65N30, 65N50, 74R10 * 24 pages
A496: Jan Brandts, Sergey Korotov, Michal Krizek; Dissection of the path-simplex in R^n into n path-subsimplices [pdf][ps] abstract: [pdf][ps]; Received 2006-03-03 * n-simplex, path-simplex, Coxeter's trisection, self-similarity * AMS 51M20, 65N30 * 15 pages
A495: Sergey Korotov; A posteriori error estimation for linear elliptic problems with mixed boundary conditions [pdf][ps] abstract: [pdf][ps]; Received 2006-03-03 * reliable computations, a posteriori error estimation, error control in energy norm, differential equation of elliptic type, mixed boundary conditions * AMS 65N15, 65N30 * 14 pages
A494: Antti Hannukainen, Sergey Korotov; Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems [pdf][ps] abstract: [pdf][ps]; Received 2006-02-16 * a posteriori error estimation, error control in energy norm, error control in terms of linear functionals, differential equation of elliptic type, mixed boundary conditions, gradient averaging * AMS 65N15, 65N30 * 23 pages

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Research reports by Sergey Korotov

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