add example for transient sensitivity

Author: enigne

examples/ModelBig.mat

@@ -0,0 +1,32 @@
+using DJUICE
+using MAT
+using GLMakie
+
+#Load model from MATLAB file
+file = matopen(joinpath(@__DIR__, ".", "","ModelBig.mat"))
+
+mat  = read(file, "md")
+close(file)
+md = model(mat, friction=DJUICE.SchoofFriction())
+
+md.timestepping.time_step = 0.1
+#make model run faster 
+#md.stressbalance.maxiter = 100
+#
+##Now call AD!
+md.inversion.iscontrol = 1
+#md.friction.coefficient = 30*ones(size(md.friction.coefficient))
+md.inversion.independent = md.friction.C
+md.inversion.independent_string = "FrictionC"
+md.inversion.dependent_string = ["IceVolumeAboveFloatation"]
+md.inversion.vx_obs = md.initialization.vx
+md.inversion.vy_obs = md.initialization.vy
+
+
+#md = solve(md, :sb)
+md = solve(md, :Transient)
+
+# the gradient
+#g = md.results["StressbalanceSolution"]["Gradient"]
+
+#plotmodel(md, abs.(g), caxis=(0.0,5e-3))