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adaptive algorithm analysis application approximation asymptotic behaviour bending bodies boundary conditions calculation Civil-Comp Press components compression computational considered constraints convergence corresponding curves cushion cylinder database defined deformation degrees of freedom Delaunay Delaunay triangulation discrete element method discretisation discretization error displacement domain dynamic edge Edinburgh efficient elastic Engineering equations equilibrium error estimator example Fiedler vector field finite element analysis finite element method forces formulation frequency function geometry global graph Hessian matrix impact initial integration iterations Lamb waves Laplacian matrix linear linearisation load LSFEM material mechanical mesh mode nodal node nonlinear normal number of elements obtained optimisation optimization parameters particles penetration plane plate preconditioners problem Prof r-adaptive remeshing residual scheme shape shear shell elements shown in Figure simulation solution solved springback step stiffness matrix strain stress structural subdomain superquadric surface tests thickness tion triangle variables vector velocity vertical Young's modulus