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Modification of the Marching Cubes Algorithm to Obtain a 3D Representation of a Planar Image
Delia Irazú Hernández Farías, Rafael Guzmán Cabrera, Teodoro Cordova Fraga, José Zacarías Huamaní Luna and Jose Francisco Gomez Aguilar Programming and Computer Software 47(3) 215 (2021) https://doi.org/10.1134/S0361768821030051
Static interface profiles for contact lines on an elastic membrane with the Willmore energy
A Monolithic Approach to Fluid–Composite Structure Interaction
Davide Forti, Martina Bukac, Annalisa Quaini, Suncica Canic and Simone Deparis Journal of Scientific Computing 72(1) 396 (2017) https://doi.org/10.1007/s10915-017-0363-5
Geometrically Unfitted Finite Element Methods and Applications
Maxim A. Olshanskii and Arnold Reusken Lecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 211 (2017) https://doi.org/10.1007/978-3-319-71431-8_7
A stable numerical method for the dynamics of fluidic membranes
An adaptive finite element method for the modeling of the equilibrium of red blood cells
Aymen Laadhari, Pierre Saramito and Chaouqi Misbah International Journal for Numerical Methods in Fluids 80(7) 397 (2016) https://doi.org/10.1002/fld.4086
Isogeometric Analysis of geometric Partial Differential Equations
A semi-implicit finite element method for viscous lipid membranes
Diego S. Rodrigues, Roberto F. Ausas, Fernando Mut and Gustavo C. Buscaglia Journal of Computational Physics 298 565 (2015) https://doi.org/10.1016/j.jcp.2015.06.010
An adaptive octree finite element method for PDEs posed on surfaces
Ionic liquid-induced all-α to α + β conformational transition in cytochrome c with improved peroxidase activity in aqueous medium
Pankaj Bharmoria, Tushar J. Trivedi, Ashok Pabbathi, Anunay Samanta and Arvind Kumar Physical Chemistry Chemical Physics 17(15) 10189 (2015) https://doi.org/10.1039/C4CP06044J
A trace finite element method for a class of coupled bulk-interface transport problems
Sven Gross, Maxim A. Olshanskii and Arnold Reusken ESAIM: Mathematical Modelling and Numerical Analysis 49(5) 1303 (2015) https://doi.org/10.1051/m2an/2015013
Isogeometric Analysis for second order Partial Differential Equations on surfaces
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
Andrea Bonito, Irene Kyza and Ricardo H. Nochetto The IMA Volumes in Mathematics and its Applications, Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 157 223 (2014) https://doi.org/10.1007/978-3-319-01818-8_10
Diffuse interface models of locally inextensible vesicles in a viscous fluid
Analysis and Numerics of Partial Differential Equations
Andrea Bonito, J. Manuel Cascón, Pedro Morin and Ricardo H. Nochetto Springer INdAM Series, Analysis and Numerics of Partial Differential Equations 4 257 (2013) https://doi.org/10.1007/978-88-470-2592-9_15
An adaptive meshfree method for phase-field models of biomembranes. Part II: A Lagrangian approach for membranes in viscous fluids
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
Andrea Bonito and Joseph E. Pasciak Springer Proceedings in Mathematics & Statistics, Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications 45 69 (2013) https://doi.org/10.1007/978-1-4614-7172-1_4
Time-Discrete Higher-Order ALE Formulations: Stability
Andrea Bonito, Irene Kyza and Ricardo H. Nochetto SIAM Journal on Numerical Analysis 51(1) 577 (2013) https://doi.org/10.1137/120862715