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20242026
most citedMatrix-Free Higher-Order Finite Element Methods for Hyperelasticity

6 citations · 12 across the 7 of their papers we have counts for

collaborators

8 papers

quant-ph2026

Quantum Fluctuations and Wigner Dynamics of a Carbon Nanotube Oscillator Driven by an Atomic Force Microscope

Conrad Silio, Cristian Staii

Suspended carbon nanotubes provide a useful platform for studying controlled nanomechanical motion in regimes where environmental fluctuations, memory effects, and quantum coherenc…

math.NA2025

A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations

Dominik Still, Natalia Nebulishvili, Richard Schussnig +2

This work presents the discontinuous Galerkin discretization of the consistent splitting scheme proposed by Liu [J. Liu, J. Comp. Phys., 228(19), 2009]. The method enforces the div…

cs.CE2025

Higher-Order Discontinuous Galerkin Splitting Schemes for Fluids with Variable Viscosity

Richard Schussnig, Niklas Fehn, Douglas Ramalho Queiroz Pacheco +1

This article investigates matrix-free higher-order discontinuous Galerkin discretizations of the Navier--Stokes equations for incompressible flows with variable viscosity. The visc…

math.NA2025

A fully segregated and unconditionally stable IMEX scheme for dispersed multiphase flows

Douglas Pacheco, Richard Schussnig

Euler--Euler or volume-averaged Navier--Stokes equations are used in various applications to model systems with two or more interpenetrating phases. Each fluid obeys its own moment…

physics.med-ph2024★ 5 cited

Geometric Uncertainty of Patient-Specific Blood Vessels and its Impact on Aortic Hemodynamics

Domagoj Bošnjak, Richard Schussnig, Sascha Ranftl +2

In the context of numerical simulations of the vascular system, local geometric uncertainties have not yet been examined in sufficient detail due to model complexity and the associ…

physics.med-ph2024★ 1 cited

SynthAorta: A 3D Mesh Dataset of Parametrized Physiological Healthy Aortas

Domagoj Bošnjak, Gian Marco Melito, Richard Schussnig +2

The effects of the aortic geometry on its mechanics and blood flow, and subsequently on aortic pathologies, remain largely unexplored. The main obstacle lies in obtaining patient-s…

cs.CE2024★ 6 cited

Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity

Richard Schussnig, Niklas Fehn, Peter Munch +1

This work presents a matrix-free finite element solver for finite-strain elasticity adopting an -multigrid preconditioner. Compared to classical algorithms relying on a global…

cs.CV2024

Deep Medial Voxels: Learned Medial Axis Approximations for Anatomical Shape Modeling

Antonio Pepe, Richard Schussnig, Jianning Li +3

Shape reconstruction from imaging volumes is a recurring need in medical image analysis. Common workflows start with a segmentation step, followed by careful post-processing and,fi…