. "We examine a Dirichlet boundary value problem of elliptic type which serves asa model for a stationary heat conduction in nonlinear, inhomogeneous, and anisotropic media. We prove a comparison principle and obtain the maximum principle as a direct consequence. We also show that the standard trilinear finite elements do not preserve a discrete maximum principle."@en . "K\u0159\u00ED\u017Eek, Michal" . . . "RIV/67985840:_____/03:05030081" . . "[7C6681F5AD78]" . "1"^^ . "On the maximum and comparison principles for a steady-state nonlinear heat conduction problem."@en . "comparison principles; Dirichlet boundary value problem"@en . . "0"^^ . "On the maximum and comparison principles for a steady-state nonlinear heat conduction problem."@en . "2"^^ . "8" . "0"^^ . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "On the maximum and comparison principles for a steady-state nonlinear heat conduction problem." . . "Zeitschrift f\u00FCr Angewandte Mathematik und Mechanik" . "83" . "559;563" . . "We examine a Dirichlet boundary value problem of elliptic type which serves asa model for a stationary heat conduction in nonlinear, inhomogeneous, and anisotropic media. We prove a comparison principle and obtain the maximum principle as a direct consequence. We also show that the standard trilinear finite elements do not preserve a discrete maximum principle." . . . "RIV/67985840:_____/03:05030081!RIV/2004/AV0/A05004/N" . . . "P(IAA1019201), Z(AV0Z1019905)" . "On the maximum and comparison principles for a steady-state nonlinear heat conduction problem." . "5"^^ . . . "619474" . "0044-2267" . . "Liu, L." . . .