List of Figures
1.1 Alternativesolutionsexample................... 5
1.2 Solutionofthebrachistochroneproblem ............. 17
1.3 Trajectoryofparticle........................ 22
2.1 Maximum area under curves . . . . . . . . . . . . . . . . . . . . 31
2.2 Thecatenarycurve......................... 34
3.1 Saddlesurface............................ 42
3.2 Catenoidsurface .......................... 44
5.1 EigensolutionsofLegendre’sequation .............. 66
7.1 AccuracyoftheRitzsolution ................... 94
7.2 Domain with overlapping circular regions . . . . . . . . . . . . 100
7.3 SolutionofPoisson’sequation...................102
8.1 Geodesiccurveofacylinder....................118
9.1 Naturalsplineapproximation ...................128
9.2 SmoothB-splineapproximation..................133
9.3 PointconstrainedB-spline.....................136
9.4 TangentconstrainedB-spline ...................139
11.1Normalmodesofelasticstring ..................161
11.2Vibrationofelasticmembrane...................167
11.3Beamcross-section.........................170
11.4 Beam profile under its weight . . . . . . . . . . . . . . . . . . . 174
12.1Delaunaytriangularization.....................190
12.2 Parametric coordinates of triangular element . . . . . . . . . . 193
211
Get Applied Calculus of Variations for Engineers, 2nd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
