17 citations · 29 across the 5 of their papers we have counts for
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Phase-field modeling and effective simulation of non-isothermal reactive transport
Carina Bringedal, Alexander Jaust
We consider single-phase flow with solute transport where ions in the fluid can precipitate and form a mineral, and where the mineral can dissolve and release solute into the fluid…
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation
Alexander Jaust, Balthasar Reuter, Vadym Aizinger +2
The third paper in our series on open source MATLAB / GNU Octave implementation of the discontinuous Galerkin (DG) method(s) focuses on a hybridized formulation. The main aim of th…
Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations
Jochen Schütz, David C. Seal, Alexander Jaust
In this work, we construct novel discretizations for the unsteady convection-diffusion equation. Our discretization relies on multiderivative time integrators together with a novel…
Implicit multistage two-derivative discontinuous Galerkin schemes for viscous conservation laws
Alexander Jaust, Jochen Schütz, David C. Seal
In this paper we apply implicit two-derivative multistage time integrators to viscous conservation laws in one and two dimensions. The one dimensional solver discretizes space with…
A temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows
Alexander Jaust, Jochen Schütz
The potential of the hybridized discontinuous Galerkin (HDG) method has been recognized for the computation of stationary flows. Extending the method to time-dependent problems can…