. "2"^^ . "\u0160ol\u00EDn, Pavel" . "1"^^ . "15" . . . "000258956700004" . . . "In this paper we prove the discrete maximum principle for a one-dimensional equation of the form - (au\u00B4)\u00B4= f with piecewise-constant coefficient a(x), discretized by the hp-FEM. The discrete problem is transformed in such a way that the discontinuity of the coefficient a (x) disappears. Existing results are then applied to obtain a condition on the mesh which guarantees the satisfaction of the discrete maximum principle. Both Dirichlet and mixed Dirichlet-Neumann boundary conditions are discussed." . . "Discrete Maximum Principle for a 1D Problem with Piecewise-Constant Coefficients Solved by hp-FEM"@en . "Diskr\u00E9tn\u00ED princip maxima, pro 1D \u00FAlohu s po \u010D\u00E1stech konstantn\u00EDmi koeficienty \u0159e\u0161enou hp-verz\u00ED metody kone\u010Dn\u00FDch prvk\u016F"@cs . "P(GA102/05/0629), P(GP201/04/P021), Z(AV0Z10190503), Z(AV0Z20570509)" . "In this paper we prove the discrete maximum principle for a one-dimensional equation of the form - (au\u00B4)\u00B4= f with piecewise-constant coefficient a(x), discretized by the hp-FEM. The discrete problem is transformed in such a way that the discontinuity of the coefficient a (x) disappears. Existing results are then applied to obtain a condition on the mesh which guarantees the satisfaction of the discrete maximum principle. Both Dirichlet and mixed Dirichlet-Neumann boundary conditions are discussed."@en . "discrete maximum principle; hp-FEM; Poisson equation"@en . "Discrete Maximum Principle for a 1D Problem with Piecewise-Constant Coefficients Solved by hp-FEM"@en . . . . . "11"^^ . . "3" . . "Discrete Maximum Principle for a 1D Problem with Piecewise-Constant Coefficients Solved by hp-FEM" . "RIV/67985840:_____/07:00319204!RIV09-AV0-67985840" . . . "V tomto \u010Dl\u00E1nku dokazujeme diskr\u00E9tn\u00ED princip maxima pro jednorozm\u011Brnou rovnici ve tvaru -(au\u00B4)\u00B4= f s po \u010D\u00E1stech konstantn\u00EDm koeficientem a(x) diskretizovan\u00FDm hp-verz\u00ED metody kone\u010Dn\u00FDch prvk\u016F. Diskr\u00E9tn\u00ED \u00FAloha se transformuje takov\u00FDm zp\u016Fsobem, \u017Ee nespojitost koeficientu a(x) zmiz\u00ED. Potom se aplikuje zn\u00E1m\u00FD v\u00FDsledek pro Poissonovu rovnici a obdr\u017E\u00ED se podm\u00EDnky, kter\u00E9 zaru\u010Duj\u00ED spln\u011Bn\u00ED diskr\u00E9tn\u00EDho principu maxima. Oboje Dirichletovy i Neumannovy okrajov\u00E9 podm\u00EDnky jsou studov\u00E1ny."@cs . "417493" . "Journal of Numerical Mathematics" . . "[20804C1DDE1C]" . "Diskr\u00E9tn\u00ED princip maxima, pro 1D \u00FAlohu s po \u010D\u00E1stech konstantn\u00EDmi koeficienty \u0159e\u0161enou hp-verz\u00ED metody kone\u010Dn\u00FDch prvk\u016F"@cs . . "RIV/67985840:_____/07:00319204" . . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "Vejchodsk\u00FD, Tom\u00E1\u0161" . "Discrete Maximum Principle for a 1D Problem with Piecewise-Constant Coefficients Solved by hp-FEM" . . . "1570-2820" .