Matches in SemOpenAlex for { <https://semopenalex.org/work/W3085105097> ?p ?o ?g. }
- W3085105097 endingPage "775" @default.
- W3085105097 startingPage "753" @default.
- W3085105097 abstract "Abstract Polygonal finite elements offer an increased freedom in terms of mesh generation at the price of more complex, often rational, shape functions. Thus, the numerical integration of rational interpolants over polygonal domains is one of the challenges that needs to be solved. If, additionally, strong discontinuities are present in the integrand, e.g., when employing fictitious domain methods, special integration procedures must be developed. Therefore, we propose to extend the conventional quadtree-decomposition-based integration approach by image compression techniques. In this context, our focus is on unfitted polygonal elements using Wachspress shape functions. In order to assess the performance of the novel integration scheme, we investigate the integration error and the compression rate being related to the reduction in integration points. To this end, the area and the stiffness matrix of a single element are computed using different formulations of the shape functions, i.e., global and local, and partitioning schemes. Finally, the performance of the proposed integration scheme is evaluated by investigating two problems of linear elasticity." @default.
- W3085105097 created "2020-09-21" @default.
- W3085105097 creator A5027256833 @default.
- W3085105097 creator A5031603446 @default.
- W3085105097 creator A5054503974 @default.
- W3085105097 creator A5059337459 @default.
- W3085105097 date "2020-09-12" @default.
- W3085105097 modified "2023-10-17" @default.
- W3085105097 title "Enhanced numerical integration scheme based on image compression techniques: Application to rational polygonal interpolants" @default.
- W3085105097 cites W1147885193 @default.
- W3085105097 cites W1479835491 @default.
- W3085105097 cites W1555717207 @default.
- W3085105097 cites W1572985915 @default.
- W3085105097 cites W1580101844 @default.
- W3085105097 cites W1867526242 @default.
- W3085105097 cites W1906492141 @default.
- W3085105097 cites W1924208463 @default.
- W3085105097 cites W1941064361 @default.
- W3085105097 cites W1954925424 @default.
- W3085105097 cites W1967710518 @default.
- W3085105097 cites W1968819696 @default.
- W3085105097 cites W1969192867 @default.
- W3085105097 cites W1971155154 @default.
- W3085105097 cites W1974288061 @default.
- W3085105097 cites W1975802500 @default.
- W3085105097 cites W1979618943 @default.
- W3085105097 cites W1980460750 @default.
- W3085105097 cites W1986814656 @default.
- W3085105097 cites W1991063470 @default.
- W3085105097 cites W1993609524 @default.
- W3085105097 cites W1994782948 @default.
- W3085105097 cites W1999506541 @default.
- W3085105097 cites W2001309901 @default.
- W3085105097 cites W2010441082 @default.
- W3085105097 cites W2010781893 @default.
- W3085105097 cites W2017848419 @default.
- W3085105097 cites W2020152794 @default.
- W3085105097 cites W2024698587 @default.
- W3085105097 cites W2028185400 @default.
- W3085105097 cites W2035098013 @default.
- W3085105097 cites W2040896717 @default.
- W3085105097 cites W2043533888 @default.
- W3085105097 cites W2045657825 @default.
- W3085105097 cites W2045841791 @default.
- W3085105097 cites W2045860416 @default.
- W3085105097 cites W2050995602 @default.
- W3085105097 cites W2061969387 @default.
- W3085105097 cites W2064198982 @default.
- W3085105097 cites W2066254214 @default.
- W3085105097 cites W2076839462 @default.
- W3085105097 cites W2080811944 @default.
- W3085105097 cites W2084279782 @default.
- W3085105097 cites W2084993191 @default.
- W3085105097 cites W2089344418 @default.
- W3085105097 cites W2091183786 @default.
- W3085105097 cites W2096029655 @default.
- W3085105097 cites W2097158696 @default.
- W3085105097 cites W2099760642 @default.
- W3085105097 cites W2103254172 @default.
- W3085105097 cites W2106354335 @default.
- W3085105097 cites W2111653448 @default.
- W3085105097 cites W2117496726 @default.
- W3085105097 cites W2118954086 @default.
- W3085105097 cites W2131876017 @default.
- W3085105097 cites W2146736323 @default.
- W3085105097 cites W2156883076 @default.
- W3085105097 cites W2158817331 @default.
- W3085105097 cites W2160137631 @default.
- W3085105097 cites W2168914934 @default.
- W3085105097 cites W2298109381 @default.
- W3085105097 cites W2342243630 @default.
- W3085105097 cites W2464830121 @default.
- W3085105097 cites W2481406412 @default.
- W3085105097 cites W2506847212 @default.
- W3085105097 cites W2620786961 @default.
- W3085105097 cites W2746411100 @default.
- W3085105097 cites W2792360515 @default.
- W3085105097 cites W2892158442 @default.
- W3085105097 cites W2894821010 @default.
- W3085105097 cites W2964307594 @default.
- W3085105097 cites W2966452845 @default.
- W3085105097 cites W3013605131 @default.
- W3085105097 cites W3116216264 @default.
- W3085105097 cites W3141475649 @default.
- W3085105097 cites W3204708751 @default.
- W3085105097 cites W4230155306 @default.
- W3085105097 cites W4233370650 @default.
- W3085105097 cites W4241925824 @default.
- W3085105097 cites W4251391716 @default.
- W3085105097 cites W4386007049 @default.
- W3085105097 doi "https://doi.org/10.1007/s00419-020-01772-6" @default.
- W3085105097 hasPublicationYear "2020" @default.
- W3085105097 type Work @default.
- W3085105097 sameAs 3085105097 @default.
- W3085105097 citedByCount "3" @default.
- W3085105097 countsByYear W30851050972022 @default.
- W3085105097 countsByYear W30851050972023 @default.
- W3085105097 crossrefType "journal-article" @default.