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.

翻译：科学与工程中的许多问题可以严谨地转化为最小化适当能量泛函的形式。我们一直致力于开发高效且灵活的求解策略，通过采用具有P1三角单元的有限元离散化来处理各类最小化问题[1,2]。本文介绍了在二维情形下向矩形hp-有限元方法的扩展。