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Minimization of energy functionals via FEM: implementation of hp-FEM (2309.13028v1)
Published 22 Sep 2023 in cs.CE
Abstract: Many problems in science and engineering can be rigorously recast into minimizing a suitable energy functional. We have been developing efficient and flexible solution strategies to tackle various minimization problems by employing finite element discretization with P1 triangular elements [1,2]. An extension to rectangular hp-finite elements in 2D is introduced in this contribution.