References

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).

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

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. Phd 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).