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Cited literature

[1]
D. Boffi, F. Brezzi and M. Fortin. Mixed Finite Element Methods and Applications. Vol. 44 of Springer Series in Computational Mathematics (Springer, 2013).
[2]
R. D. Cook. Improved Two-Dimensional Finite Element. Journal of the Structural Division 100, 1851–1863 (1974).
[3]
G. A. Holzapfel. Nonlinear Solid Mechanics: A Continuum Approach for Engineering (Wiley, Chichester ; New York, 2000).
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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.
[7]
G. N. Gatica. A Simple Introduction to the Mixed Finite Element Method: Theory and Applications. SpringerBriefs in Mathematics (Springer, 2014).
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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).
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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).
[13]
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).
[14]
R. Rannacher and S. Turek. Simple nonconforming quadrilateral Stokes element. Numerical Methods for Partial Differential Equations 8, 97–111 (1992).
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[16]
C. Burstedde, L. C. Wilcox and O. Ghattas, p4est: Scalable algorithms for parallel adaptive mesh refinement on forests of octrees. SIAM Journal on Scientific Computing 33, 1103–1133 (2011).
[17]
T. Isaac, C. Burstedde, L. C. Wilcox and O. Ghattas. Recursive algorithms for distributed forests of octrees. SIAM Journal on Scientific Computing 37, C497–C531 (2015).
[18]
R. Settgast, W. Tobin, Y. Dudouit, N. Castelletto, B. Corbett and S. Klevstov. Performant Low-order Matrix-free Finite Element Kernels on GPU Architectures. In: SC23 (2023).
[19]
R. Schussnig, N. Fehn, P. Munch and M. Kronbichler. Matrix-free higher-order finite element methods for hyperelasticity. Computer Methods in Applied Mechanics and Engineering 435, 117600 (2025).
[20]
M. Wichrowski. Towards Matrix-Free Patch Smoothers for the Stokes Problem: Evaluating Local p-Multigrid Solvers, arXiv preprint arXiv:2601.13230 (2026).
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[23]
M. Cenanovic. Finite element methods for surface problems. Ph.D. Thesis, Jönköping University, School of Engineering (2017).
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