. "RIV/67985840:_____/10:00351143!RIV11-GA0-67985840" . . . "A comparison of simplicial and block finite elements"@en . . "In this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial and block ones. A special emphasis is put on the validity of discrete maximum principles and on associated (geometric) mesh generation/refinement issues in higher dimensions. As a result, we would recommend to carefully reconsider the common belief that the simplicial finite elements are very convenient to describe complicated geometries (which appear in real-life problems), and also that the block finite elements, due to their simplicity, should be used if the geometry of the solution domain allows that."@en . "A comparison of simplicial and block finite elements" . "2"^^ . "Vejchodsk\u00FD, Tom\u00E1\u0161" . "[8F7F058E36B2]" . . "Berlin" . "Uppsala" . "1"^^ . "244535" . . "A comparison of simplicial and block finite elements" . "In this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial and block ones. A special emphasis is put on the validity of discrete maximum principles and on associated (geometric) mesh generation/refinement issues in higher dimensions. As a result, we would recommend to carefully reconsider the common belief that the simplicial finite elements are very convenient to describe complicated geometries (which appear in real-life problems), and also that the block finite elements, due to their simplicity, should be used if the geometry of the solution domain allows that." . "A comparison of simplicial and block finite elements"@en . . . . . . . "P(GA102/07/0496), P(IAA100760702), Z(AV0Z10190503)" . . "RIV/67985840:_____/10:00351143" . . "9"^^ . "2009-06-29+02:00"^^ . . . "Springer-Verlag" . . "Korotov, S." . "finite element method; simples; blocks; discrete maximum principle; mesh refinement"@en . . "978-3-642-11794-7" . . "Numerical Mathematics and Advanced Applications 2009" . . .