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Research reports by Janos Karatson

Here are the reports authored by Janos Karatson. 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

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

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

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

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