Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis
DOI10.1137/20M137286XzbMath1489.65159arXiv1907.01382OpenAlexW3202278567WikidataQ114074144 ScholiaQ114074144MaRDI QIDQ5070557
Georgios Grekas, Konstantinos Koumatos, Phoebus Rosakis, Charalambos G. Makridakis
Publication date: 13 April 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.01382
nonlinear elasticityOrlicz spaces\(\Gamma\)-convergencenonconvex variational problemnonconforming finite elementdiscontinuous Galerkin
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Methods involving semicontinuity and convergence; relaxation (49J45) Biomechanics (92C10) Biomechanical solid mechanics (74L15)
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