. . "We introduce a formulation of the finite element method (FEM) adapted to typical geometry of groundwater problems. The three-dimensional domain is discretized in the following way: the projection to the horizontal plane is a triangulation(unstructured mesh) and the mesh is composed of layers in the space. Thus there is need to define finite elements on trilateral prims. We show an alternative numerical solution of porous media (potential) flow by meansof combining the FEM on 2D triangle mesh and finite differences in the vertical direction (1D columns of mesh nodes). This approach correspond to the fact that the horizontal dimension iThe same numerical scheme can be also formulated in terms of finite volume method, providing the mass balance property, important for subsequent solution of the solute transport problem." . . "Metoda kone\u010Dn\u00FDch prvk\u016F na 3D s\u00EDti s vrstevnatou strukturou - aplikace na proud\u011Bn\u00ED a transportu v por\u00E9zn\u00EDm prost\u0159ed\u00ED"@cs . . "Popisujeme formulaci metody kone\u010Dn\u00FDch prvk\u016F adaptovanou pro geometrii \u00FAloh podzemn\u00EDch vod. Trojrozm\u011Brn\u00E1 oblast je diskretizov\u00E1na tak, \u017Ee v horizont\u00E1ln\u00ED projekci je pou\u017Eita nestrukturovan\u00E1 triangulace a s\u00ED\u0165 je slo\u017Eena z vrstev v prostoru.Pro tento p\u0159\u00EDpad je t\u0159eba definovat kone\u010Dn\u00E9 prvky a trojbok\u00FDch hranolech. Jako alternativu p\u0159edstavujeme sch\u00E9ma, zalo\u017Een\u00E9 na kombinaci metody kone\u010Dn\u00FDch prvk\u016F na 2D troj\u00FAheln\u00EDkov\u00E9 s\u00EDti a kone\u010Dn\u00FDchdiferenc\u00ED ve svisl\u00E9m sm\u011Bru (1D sloupec uzl\u016F s\u00EDt\u011B). Sch\u00E9ma je ekvivalentn\u011B mo\u017Eno formulovat jako metodu kone\u010Dn\u00FDch objem\u016F na du\u00E1ln\u00ED s\u00EDti, co\u017E zaji\u0161\u0165uje spln\u011Bn\u00ED podm\u00EDnky bilance hmoty."@cs . "70-75" . . "Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media"@en . "We introduce a formulation of the finite element method (FEM) adapted to typical geometry of groundwater problems. The three-dimensional domain is discretized in the following way: the projection to the horizontal plane is a triangulation(unstructured mesh) and the mesh is composed of layers in the space. Thus there is need to define finite elements on trilateral prims. We show an alternative numerical solution of porous media (potential) flow by meansof combining the FEM on 2D triangle mesh and finite differences in the vertical direction (1D columns of mesh nodes). This approach correspond to the fact that the horizontal dimension iThe same numerical scheme can be also formulated in terms of finite volume method, providing the mass balance property, important for subsequent solution of the solute transport problem."@en . "RIV/46747885:24220/05:00000051" . . . . "80-85823-53-5" . "Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media" . . "6"^^ . "Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media" . "Hokr, Milan" . . . . "Finite element method on 3D mesh with layer structure -- application on flow and transport in porous media"@en . "RIV/46747885:24220/05:00000051!RIV06-MSM-24220___" . "Z(MSM 242200001)" . . "Programs and algorithms of numerical mathematics 12" . "Mathematical institute" . . "Metoda kone\u010Dn\u00FDch prvk\u016F na 3D s\u00EDti s vrstevnatou strukturou - aplikace na proud\u011Bn\u00ED a transportu v por\u00E9zn\u00EDm prost\u0159ed\u00ED"@cs . "521694" . . "2"^^ . "24220" . . "trilateral prismatic element; conservative scheme; finite volume; groundwater"@en . "[E54B52A97CB3]" . "2005-01-01+01:00"^^ . "Praha" . . "Praha" . "1"^^ .