65 citations · 114 across the 5 of their papers we have counts for
5 papers
An Explicit Total Lagrangian Fragile Points Method for Finite Deformation of Hyperelastic Materials
Konstantinos A. Mountris, Mingjing Li, Richard Schilling +4
This research explored a novel explicit total Lagrangian Fragile Points Method (FPM) for finite deformation of hyperelastic materials. In contrast to mesh-based methods, where mesh…
A dual adaptive explicit time integration algorithm for efficiently solving the cardiac monodomain equation
Konstantinos A Mountris, Esther Pueyo
The monodomain model is widely used in in-silico cardiology to describe excitation propagation in the myocardium. Frequently, operator splitting is used to decouple the stiff react…
The Radial Point Interpolation Mixed Collocation (RPIMC) Method for the Solution of Transient Diffusion Problems
Konstantinos A. Mountris, Esther Pueyo
The Radial Point Interpolation Mixed Collocation (RPIMC) method is proposed in this paper for transient analysis of diffusion problems. RPIMC is an efficient purely meshless method…
Cell-based Maximum Entropy Approximants for Three Dimensional Domains: Application in Large Strain Elastodynamics using the Meshless Total Lagrangian Explicit Dynamics Method
Konstantinos A. Mountris, George C. Bourantas, Daniel Millán +4
We present the Cell-based Maximum Entropy (CME) approximants in E3 space by constructing the smooth approximation distance function to polyhedral surfaces. CME is a meshfree approx…
Suite of Meshless Algorithms for Accurate Computation of Soft Tissue Deformation for Surgical Simulation
Grand Joldes, George Bourantas, Benjamin Zwick +7
The ability to predict patient-specific soft tissue deformations is key for computer-integrated surgery systems and the core enabling technology for a new era of personalized medic…