518 citations · 1.2k across the 49 of their papers we have counts for
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Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling
Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer +1
We introduce two new lowest order methods, a mixed method, and a hybrid Discontinuous Galerkin (HDG) method, for the approximation of incompressible flows. Both methods use diverge…
Numerical shape optimization of the Canham-Helfrich-Evans bending energy
Michael Neunteufel, Joachim Schöberl, Kevin Sturm
In this paper we propose a novel numerical scheme for the Canham-Helfrich-Evans bending energy based on a three-field lifting procedure of the distributional shape operator to an a…
A Unified Rational Krylov Method for Elliptic and Parabolic Fractional Diffusion Problems
Tobias Danczul, Clemens Hofreither, Joachim Schöberl
We present a unified framework to efficiently approximate solutions to fractional diffusion problems of stationary and parabolic type. After discretization, we can take the point o…
Convergence analysis of some tent-based schemes for linear hyperbolic systems
Dow Drake, Jay Gopalakrishnan, Joachim Schöberl +1
Finite element methods for symmetric linear hyperbolic systems using unstructured advancing fronts (satisfying a causality condition) are considered in this work. Convergence resul…