Recommended reading
Düster, E. Rank, B. Szabó. (2017) The p-Version of the Finite Element and Finite Cell Methods. In E. Stein, R. de Borst, T.J.R. Hughes, editors: Encyclopedia of Computational Mechanics, 2nd Edition. Solids and Structures, Part 1, Chapter 4, John Wiley & Sons.
P. Wriggers, Ph. Junker, J. Korelc. (2025) A third medium approach for contact using first and second order finite elements. Computer Methods in Applied Mechanics and Engineering, 435, 117740.
A. Main, G. Scovazzi. (2018) The shifted boundary method for embedded domain computations. Part I: Poisson and Stokes problems. Journal of Computational Physics, 372, 972–995.
J.H. Collins, K. Li, A. Lozinski, G. Scovazzi. (2026) Gap-SBM: A new conceptualization of the shifted boundary method with optimal convergence for the Neumann and Dirichlet problems. Computer Methods in Applied Mechanics and Engineering, 453, 118793.
E. Burman, P. Hansbo, M. G. Larson, S. Zahedi. (2025) Cut Finite Element Methods. Acta Numerica, 34, 1–121.
S. Berrone, S. Scialò, F. Vicini. (2019) Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks. SIAM Journal on Scientific Computing, 41(4), C317–C338.
S. Berrone, F. Vicini. (2025) Effective Polygonal Mesh Generation and Refinement for VEM. Mathematics and Computers in Simulation, 231, 239–258.
N. Provatas, K. Elder. (2010) Phase-Field Modeling in Materials Science and Engineering. Wiley.
H. Gomez, K. van der Zee. (2017) Computational Phase-Field Modeling. Encyclopedia of Computational Mechanics. Wiley.