S&S vs classic h-elements - Scan-and-Solve for Rhino2024-11-10T08:39:43Zhttp://www.scan-and-solve.com/forum/topics/ss-vs-classic-helements?feed=yes&xn_auth=noActually, the beta uses linea…tag:www.scan-and-solve.com,2010-08-30:6083097:Comment:9322010-08-30T15:53:01.000ZVadim Shapirohttp://www.scan-and-solve.com/profile/VadimShapiro
Actually, the beta uses linear B-splines, but we could turn on an ability to use B-splines of *any* degree -- but of course, this would come at an increased computational cost.<br />
In other words, as summarized in this table<br />
<a href="http://www.scan-and-solve.com/page/compare-with-fea" target="_blank">http://www.scan-and-solve.com/page/compare-with-fea</a><br />
Scan&Solve can do it all: h, p, k -- at least in principle.<br />
But we do not know what will end up in the final product yet.
Actually, the beta uses linear B-splines, but we could turn on an ability to use B-splines of *any* degree -- but of course, this would come at an increased computational cost.<br />
In other words, as summarized in this table<br />
<a href="http://www.scan-and-solve.com/page/compare-with-fea" target="_blank">http://www.scan-and-solve.com/page/compare-with-fea</a><br />
Scan&Solve can do it all: h, p, k -- at least in principle.<br />
But we do not know what will end up in the final product yet. B-splines? Very interesting!…tag:www.scan-and-solve.com,2010-08-30:6083097:Comment:9302010-08-30T15:36:55.000ZMatteo Pellizzonihttp://www.scan-and-solve.com/profile/Matteo
B-splines? Very interesting!<br />
<br />
Do you mean that S&S uses cubic basis funciton insted of linear or parabolic ones?
B-splines? Very interesting!<br />
<br />
Do you mean that S&S uses cubic basis funciton insted of linear or parabolic ones? As explained in the "white pa…tag:www.scan-and-solve.com,2010-08-30:6083097:Comment:9232010-08-30T15:29:55.000ZVadim Shapirohttp://www.scan-and-solve.com/profile/VadimShapiro
As explained in the "white paper" :-) the current implementation of Scan&Solve is quintessentially FEM. Mathematically, there are two significant improvements over classical FEM: (1) boundary conditions are satisfied by the "scan process" as opposed to meshing; and (2) basis functions are B-splines, which have much nicer mathematical and computational properties.
As explained in the "white paper" :-) the current implementation of Scan&Solve is quintessentially FEM. Mathematically, there are two significant improvements over classical FEM: (1) boundary conditions are satisfied by the "scan process" as opposed to meshing; and (2) basis functions are B-splines, which have much nicer mathematical and computational properties.