Matches in SemOpenAlex for { <https://semopenalex.org/work/W58642276> ?p ?o ?g. }
- W58642276 abstract "Several steps are taken to produce a partial differential equation solving environment (PDESE) for solving time-dependent nonlinear biomechanical problems using adaptive finite element methods (FEMs) in one-, two-, and three-dimensions. We develop several methods to increase the efficiency of FEMs used to solve systems of partial differential equations arising in biomechanical models. The table look-up method is used to increase the speed of quadrature procedures specific to FEMs by interpolating the non-polynomial part of the integrand then using a pre-computed table of values. An enhanced prototype of a PDESE using h-adaptivity was used to solve a reaction-diffusion system of equations simulating the spread of Lyme disease taking into account vector dynamics. Procedures to correct sliver elements generated by mesh motion required for domain reshaping were developed and used in a h-adaptive two-dimensional micro-scale fluid pump simulation. The anisotropic biphasic theory (ABT) equations of Barocas and Tranquillo describing the formation of artificial arteries were solved using h-adaptivity and mesh motion in two dimensions. The efficacy of the adaptive procedures that were developed is shown. A modern object-oriented code closer to the ideal of a PDESE, Trellis, was enhanced and used to solve the ABT equations in three dimensions using h-adaptivity and mesh motion for the hexahedral interstitial cell traction assay (ICTA) and wound healing problems, hitherto unsolved. Warm restarts in DASPK were implemented within Trellis and shown to speed up adaptive computations by a factor of four for the ICTA problem." @default.
- W58642276 created "2016-06-24" @default.
- W58642276 creator A5027738191 @default.
- W58642276 creator A5066286796 @default.
- W58642276 date "2003-01-01" @default.
- W58642276 modified "2023-09-27" @default.
- W58642276 title "Efficient methods for solving biomechanical equations" @default.
- W58642276 cites W102798659 @default.
- W58642276 cites W129017765 @default.
- W58642276 cites W1486064919 @default.
- W58642276 cites W1492326914 @default.
- W58642276 cites W1496738390 @default.
- W58642276 cites W1516519565 @default.
- W58642276 cites W1529402516 @default.
- W58642276 cites W1546111685 @default.
- W58642276 cites W1572116564 @default.
- W58642276 cites W1573458559 @default.
- W58642276 cites W1591608973 @default.
- W58642276 cites W1597944220 @default.
- W58642276 cites W1597988898 @default.
- W58642276 cites W1604060452 @default.
- W58642276 cites W1627044420 @default.
- W58642276 cites W1719686946 @default.
- W58642276 cites W175266247 @default.
- W58642276 cites W1852082788 @default.
- W58642276 cites W1964195356 @default.
- W58642276 cites W1964757393 @default.
- W58642276 cites W1965141011 @default.
- W58642276 cites W1965858564 @default.
- W58642276 cites W1966174614 @default.
- W58642276 cites W1976584147 @default.
- W58642276 cites W1982739053 @default.
- W58642276 cites W1983692879 @default.
- W58642276 cites W1984729535 @default.
- W58642276 cites W1987389363 @default.
- W58642276 cites W1990291152 @default.
- W58642276 cites W199075744 @default.
- W58642276 cites W1992522720 @default.
- W58642276 cites W1994819113 @default.
- W58642276 cites W1995404822 @default.
- W58642276 cites W1999564410 @default.
- W58642276 cites W2002658616 @default.
- W58642276 cites W2005780385 @default.
- W58642276 cites W2008344230 @default.
- W58642276 cites W2010269212 @default.
- W58642276 cites W2011125691 @default.
- W58642276 cites W2012320355 @default.
- W58642276 cites W2015043713 @default.
- W58642276 cites W2018523508 @default.
- W58642276 cites W2018849251 @default.
- W58642276 cites W2020920176 @default.
- W58642276 cites W2021144788 @default.
- W58642276 cites W2022523922 @default.
- W58642276 cites W2022531070 @default.
- W58642276 cites W2023683612 @default.
- W58642276 cites W2024136494 @default.
- W58642276 cites W2027055494 @default.
- W58642276 cites W2030919204 @default.
- W58642276 cites W2031140167 @default.
- W58642276 cites W2036290474 @default.
- W58642276 cites W2037267016 @default.
- W58642276 cites W2041640855 @default.
- W58642276 cites W2044355921 @default.
- W58642276 cites W2048838384 @default.
- W58642276 cites W2053539732 @default.
- W58642276 cites W2055175171 @default.
- W58642276 cites W2055544025 @default.
- W58642276 cites W2056027508 @default.
- W58642276 cites W2057858153 @default.
- W58642276 cites W2058921865 @default.
- W58642276 cites W2061423359 @default.
- W58642276 cites W2062092532 @default.
- W58642276 cites W2062326781 @default.
- W58642276 cites W2070679280 @default.
- W58642276 cites W2071036364 @default.
- W58642276 cites W2073732659 @default.
- W58642276 cites W2074305200 @default.
- W58642276 cites W2075151302 @default.
- W58642276 cites W2076362839 @default.
- W58642276 cites W2076729536 @default.
- W58642276 cites W2076798686 @default.
- W58642276 cites W2076831423 @default.
- W58642276 cites W2078553645 @default.
- W58642276 cites W2081099320 @default.
- W58642276 cites W2081163355 @default.
- W58642276 cites W2084356694 @default.
- W58642276 cites W2087418982 @default.
- W58642276 cites W2089305841 @default.
- W58642276 cites W2092011174 @default.
- W58642276 cites W2092268844 @default.
- W58642276 cites W2093076707 @default.
- W58642276 cites W2094209383 @default.
- W58642276 cites W2094506518 @default.
- W58642276 cites W2095972596 @default.
- W58642276 cites W2097425865 @default.
- W58642276 cites W2101121254 @default.
- W58642276 cites W2105178180 @default.
- W58642276 cites W2109911863 @default.
- W58642276 cites W2121727817 @default.
- W58642276 cites W2123003753 @default.