Výsledky vyhledávání - "Grekas, Georgios"

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Deep Ritz -- Finite Element methods: Neural Network Methods trained with Finite Elements

Autor: Grekas, Georgios, Makridakis, Charalambos G.

While much attention of neural network methods is devoted to high-dimensional PDE problems, in this work we consider methods designed to work for elliptic problems on domains $\Omega \subset \mathbb{R} ^d, $ $d=1,2,3$ in association with more standar

Externí odkaz: http://arxiv.org/abs/2409.08362

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A class of Discontinuous Galerkin methods for nonlinear variational problems

Autor: Grekas, Georgios, Koumatos, Konstantinos, Makridakis, Charalambos, Vikelis, Andreas

In the context of Discontinuous Galerkin methods, we study approximations of nonlinear variational problems associated with convex energies. We propose element-wise nonconforming finite element methods to discretize the continuous minimisation proble

Externí odkaz: http://arxiv.org/abs/2308.12891

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Theory of intermediate twinning and spontaneous polarization in the phase transformations of ferroelectric potassium sodium niobate

Autor: Grekas, Georgios, Pop-Ghe, Patricia-Lia, Quandt, Eckhard, James, Richard D.

Potassium sodium niobate is considered a prominent material system as a substitute for toxic lead-containing ferroelectric materials. It exhibits first-order phase transformations and ferroelectricity with potential applications ranging from energy c

Externí odkaz: http://arxiv.org/abs/2302.01797

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Compressive Instabilities Enable Cell-Induced Extreme Densification Patterns in the Fibrous Extracellular Matrix: Discrete Model Predictions

Autor: Kalaitzidou, Chrysovalantou, Grekas, Georgios, Zilian, Andreas, Makridakis, Charalambos, Rosakis, Phoebus

Through modelling and simulations we show that material instabilities play a dominant role in the mechanical behavior of the fibrous collagen Extracellular Matrix (ECM), as observed when the ECM is deformed by contractile biological cells. We compare

Externí odkaz: http://arxiv.org/abs/2212.01213

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Compressive instabilities enable cell-induced extreme densification patterns in the fibrous extracellular matrix: Discrete model predictions.

Autor: Kalaitzidou, Chrysovalantou¹ (AUTHOR) kalaitzidou.chr@gmail.com, Grekas, Georgios^2,3 (AUTHOR), Zilian, Andreas¹ (AUTHOR), Makridakis, Charalambos^3,4,5 (AUTHOR), Rosakis, Phoebus^3,4 (AUTHOR) kalaitzidou.chr@gmail.com

Publikováno v: PLoS Computational Biology. 7/1/2024, Vol. 20 Issue 7, p1-30. 30p.

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Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: $\Gamma$-convergence analysis

Autor: Grekas, Georgios, Koumatos, Konstantinos, Makridakis, Charalambos, Rosakis, Phoebus

We consider a model of energy minimization arising in the study of the mechanical behavior caused by cell contraction within a fibrous biological medium. The macroscopic model is based on the theory of non rank-one convex nonlinear elasticity for pha

Externí odkaz: http://arxiv.org/abs/1907.01382

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Cells exploit a phase transition to mechanically remodel the fibrous extracellular matrix

Autor: Grekas, Georgios, Proestaki, Maria, Rosakis, Phoebus, Notbohm, Jacob, Makridakis, Charalambos, Ravichandran, Guruswami

Publikováno v: Journal of the Royal Society Interface 18: 20200823 2021

Through mechanical forces, biological cells remodel the surrounding collagen network, generating striking deformation patterns. Tethers-tracts of high densification and fiber alignment-form between cells, thinner bands emanate from cell clusters. Whi

Externí odkaz: http://arxiv.org/abs/1905.11246

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SUPPLEMENTARY INFORMATION from Cells exploit a phase transition to mechanically remodel the fibrous extracellular matrix

Autor: Grekas, Georgios, Proestaki, Maria, ROSAKIS, Phoebus, Notbohm, Jacob, Makridakis, Charalambos, Guruswami Ravichandran

Supplemental Notes and Figures

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::489dce8f3de182565809e96d9fec644e

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