Browsing by Author "Rosolen, Adrian Martin"
Now showing items 1-4 of 4
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An adaptive meshfree method for phase-field models of biomembranes. Part I: Approximation with maximum-entropy basis functions
(2013-09)
Article
Restricted access - publisher's policyWe present an adaptive meshfree method to approximate phase-field models of biomembranes. In such models, the Helfrich curvature elastic energy, the surface area, and the enclosed volume of a vesicle are written as functionals ... -
An adaptive meshfree method for phase-field models of biomembranes. Part II: A Lagrangian approach for membranes in viscous fluids
(2013-09)
Article
Restricted access - publisher's policyWe present a Lagrangian phase-field method to study the low Reynolds number dynamics of vesicles embedded in a viscous fluid. In contrast to previous approaches, where the field variables are the phase-field and the fluid ... -
Efficient implementation of Galerkin meshfree methods for large-scale problems with an emphasis on maximum entropy approximants
(2015-04-01)
Article
Open AccessIn Galerkin meshfree methods, because of a denser and unstructured connectivity, the creation and assembly of sparse matrices is expensive. Additionally, the cost of computing basis functions can be significant in problems ... -
Second order convex maximum entropy approximants with applications to high order PDE
(2013-04-13)
Article
Open AccessWe present a new approach for second order maximum entropy (max-ent) meshfree approximants that produces positive and smooth basis functions of uniform aspect ratio even for non-uniform node sets, and prescribes robustly ...
