FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2922761305> ?p ?o ?g. }

• W2922761305 abstract "The Finite Element Method (FEM) is widely used to solve discrete Partial Differential Equations (PDEs) in engineering applications. The popularity of FEM led to the development of a large family of variants, and, while their theoretical properties (such as convergence rate, stability, etc.) are understood well, their practical performance have not been systematically studied for large collections of automatically meshed 3D geometry. We introduce a set of benchmark problems, starting from simple cases with an analytical solution, moving to commonly used test problem setups, and finally fabricating solutions for thousands of real-world, automatically meshed geometries. For all these cases, we use state-of-the-art meshing tools to create both unstructured (tetrahedral) and structured (hexahedral) meshes, and compare the performance of different element types for a wide spectrum of elliptic PDEs ranging from heat diffusion to fluid propagation. We observe that, while linear tetrahedral elements perform poorly, often leading to locking artefacts, quadratic tetrahedral elements outperform hexahedral elements in all settings we tested. This observation suggests that for most problems in static structural analysis, thermal analysis, and low reynolds number flows, it is unnecessary to target automatic hex mesh generation, since high-quality results can be obtained with unstructured meshes, which can be created robustly and automatically with existing meshing algorithms. We released the description of the benchmark problems, meshes, and reference implementation of our testing infrastructure. This enables statistically significant comparisons between different FE methods, which we believe will provide a guide in the development of new meshing and FEA techniques." @default.
• W2922761305 created "2019-04-01" @default.
• W2922761305 creator A5008550029 @default.
• W2922761305 creator A5027749935 @default.
• W2922761305 creator A5046160172 @default.
• W2922761305 creator A5050779501 @default.
• W2922761305 creator A5061986862 @default.
• W2922761305 creator A5068002544 @default.
• W2922761305 date "2019-03-22" @default.
• W2922761305 modified "2023-09-27" @default.
• W2922761305 title "A Large Scale Comparison of Tetrahedral and Hexahedral Elements for Finite Element Analysis" @default.
• W2922761305 cites W127071541 @default.
• W2922761305 cites W128361954 @default.
• W2922761305 cites W1491204944 @default.
• W2922761305 cites W1519745724 @default.
• W2922761305 cites W1525132831 @default.
• W2922761305 cites W1541162015 @default.
• W2922761305 cites W1572940464 @default.
• W2922761305 cites W1591608973 @default.
• W2922761305 cites W1826955156 @default.
• W2922761305 cites W1900417662 @default.
• W2922761305 cites W1967337063 @default.
• W2922761305 cites W1969549682 @default.
• W2922761305 cites W1976289215 @default.
• W2922761305 cites W1978588246 @default.
• W2922761305 cites W1985127753 @default.
• W2922761305 cites W1986119853 @default.
• W2922761305 cites W1991393198 @default.
• W2922761305 cites W2005343090 @default.
• W2922761305 cites W2007044370 @default.
• W2922761305 cites W2021369132 @default.
• W2922761305 cites W2022310199 @default.
• W2922761305 cites W2022916138 @default.
• W2922761305 cites W2023037979 @default.
• W2922761305 cites W2032879331 @default.
• W2922761305 cites W2037812407 @default.
• W2922761305 cites W2042120451 @default.
• W2922761305 cites W2044972386 @default.
• W2922761305 cites W2055558637 @default.
• W2922761305 cites W2057280919 @default.
• W2922761305 cites W2060408866 @default.
• W2922761305 cites W2065194132 @default.
• W2922761305 cites W2067197858 @default.
• W2922761305 cites W2069533434 @default.
• W2922761305 cites W2075768929 @default.
• W2922761305 cites W2075891377 @default.
• W2922761305 cites W2076702317 @default.
• W2922761305 cites W2082187902 @default.
• W2922761305 cites W2101730225 @default.
• W2922761305 cites W2114113716 @default.
• W2922761305 cites W2114874490 @default.
• W2922761305 cites W2114969937 @default.
• W2922761305 cites W2118970948 @default.
• W2922761305 cites W2119374797 @default.
• W2922761305 cites W2121029369 @default.
• W2922761305 cites W2130814852 @default.
• W2922761305 cites W2135397228 @default.
• W2922761305 cites W2141516920 @default.
• W2922761305 cites W2143269273 @default.
• W2922761305 cites W2146990154 @default.
• W2922761305 cites W2150679149 @default.
• W2922761305 cites W2158034547 @default.
• W2922761305 cites W2163214391 @default.
• W2922761305 cites W2163992688 @default.
• W2922761305 cites W2164668465 @default.
• W2922761305 cites W2168646552 @default.
• W2922761305 cites W2171601363 @default.
• W2922761305 cites W2212370034 @default.
• W2922761305 cites W2293490997 @default.
• W2922761305 cites W2396935036 @default.
• W2922761305 cites W2406699853 @default.
• W2922761305 cites W2471438833 @default.
• W2922761305 cites W2498162759 @default.
• W2922761305 cites W2520888469 @default.
• W2922761305 cites W2539617087 @default.
• W2922761305 cites W2542321431 @default.
• W2922761305 cites W2550093246 @default.
• W2922761305 cites W2561446551 @default.
• W2922761305 cites W2597739248 @default.
• W2922761305 cites W2619875428 @default.
• W2922761305 cites W2752576738 @default.
• W2922761305 cites W275890881 @default.
• W2922761305 cites W2767152839 @default.
• W2922761305 cites W2782740643 @default.
• W2922761305 cites W2809944305 @default.
• W2922761305 cites W2810146865 @default.
• W2922761305 cites W2884447654 @default.
• W2922761305 cites W2895248225 @default.
• W2922761305 cites W2903195470 @default.
• W2922761305 cites W2916303624 @default.
• W2922761305 cites W2934526567 @default.
• W2922761305 cites W3023870838 @default.
• W2922761305 cites W3099623019 @default.
• W2922761305 cites W3144493338 @default.
• W2922761305 cites W3399552 @default.
• W2922761305 cites W359821988 @default.
• W2922761305 cites W59512061 @default.
• W2922761305 cites W65479554 @default.
• W2922761305 cites W1578300214 @default.
• W2922761305 cites W2066318372 @default.

• next