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Modification of the Marching Cubes Algorithm to Obtain a 3D Representation of a Planar Image
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Geometric Partial Differential Equations - Part I
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Static interface profiles for contact lines on an elastic membrane with the Willmore energy
A Second-Order in Time Approximation of Fluid-Structure Interaction Problem
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Geometrically Unfitted Finite Element Methods and Applications
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Theory and algorithms to compute Helfrich bending forces: a review
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
Margination of white blood cells: a computational approach by a hydrodynamic phase field model
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
Comparisons between reduced order models and full 3D models for fluid–structure interaction problems in haemodynamics
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
Time-Discrete Higher-Order ALE Formulations: Stability
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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