Cited literature

G. A. Holzapfel. Nonlinear Solid Mechanics: A Continuum Approach for Engineering (Wiley, Chichester ; New York, 2000).

J. Simo and C. Miehe. Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Computer Methods in Applied Mechanics and Engineering 98, 41–104 (1992).

L. Mu, J. Wang, Y. Wang and X. Ye. Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. Journal of Computational and Applied Mathematics 255, 432–440 (2014).

D. N. Arnold, F. Brezzi, B. Cockburn and L. D. Marini. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems. SIAM Journal on Numerical Analysis 39, 1749–1779 (2002). Accessed on Dec 20, 2023.

R. C. Kirby. A general approach to transforming finite elements (2017), arXiv:1706.09017 [math.NA].

S. Bartels, C. Carstensen and G. Dolzmann. Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Numerische Mathematik 99, 1–24 (2004).

D. Dunavant. High degree efficient symmetrical Gaussian quadrature rules for the triangle. International journal for numerical methods in engineering 21, 1129–1148 (1985).

P. Keast. Moderate-degree tetrahedral quadrature formulas. Computer methods in applied mechanics and engineering 55, 339–348 (1986).

F. D. Witherden and P. E. Vincent. On the identification of symmetric quadrature rules for finite element methods. Computers & Mathematics with Applications 69, 1232–1241 (2015).

M. Crouzeix and P.-A. Raviart. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. Revue française d'automatique informatique recherche opérationnelle. Mathématique 7, 33–75 (1973).

R. Rannacher and S. Turek. Simple nonconforming quadrilateral Stokes element. Numerical Methods for Partial Differential Equations 8, 97–111 (1992).

B. Turcksin, M. Kronbichler and W. Bangerth. WorkStream – A Design Pattern for Multicore-Enabled Finite Element Computations. ACM Trans. Math. Softw. 43 (2016).

M. Cenanovic. Finite element methods for surface problems. Ph.D. Thesis, Jönköping University, School of Engineering (2017).

M. W. Scroggs, J. S. Dokken, C. N. Richardson and G. N. Wells. Construction of Arbitrary Order Finite Element Degree-of-Freedom Maps on Polygonal and Polyhedral Cell Meshes. ACM Trans. Math. Softw. 48 (2022).

D. R. Jantos, K. Hackl and P. Junker. An accurate and fast regularization approach to thermodynamic topology optimization. International Journal for Numerical Methods in Engineering 117, 991–1017 (2019).

M. Blaszczyk, D. R. Jantos and P. Junker. Application of Taylor series combined with the weighted least square method to thermodynamic topology optimization. Computer Methods in Applied Mechanics and Engineering 393, 114698 (2022).