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20052025
most citedEnforcing Statistical Constraints in Generative Adversarial Networks for Modeling Chaotic Dynamical Systems

169 citations

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5 papers · 1 filter

math.NA2022★ 8 cited

Robust and efficient primal-dual Newton-Krylov solvers for viscous-plastic sea-ice models

Yu-hsuan Shih, Carolin Mehlmann, Martin Losch +1

We present a Newton-Krylov solver for a viscous-plastic sea-ice model. This constitutive relation is commonly used in climate models to describe the material properties of sea ice.…

math.NA2021★ 13 cited

On discretizing sea-ice dynamics on triangular meshes using vertex, cell or edge velocities

S. Danilov, C. Mehlmann, V. Fofonova

Discretization of the equations of Viscous Plastic and Elastic Viscous Plastic (EVP) sea ice dynamics on triangular meshes can be done by placing discrete velocities at vertices, c…

math.NA2021★ 52 cited

Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids

C. Mehlmann, S. Danilov, M. Losch +6

Linear Kinematic Features (LKFs) are found everywhere in the Arctic sea ice cover. They are strongly localized deformations often associated with the formation of leads and pressur…

math.NA2018

Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems

Andreas Rupp, Vadym Aizinger, Balthasar Reuter +1

We formulate a coupled surface/subsurface flow model that relies on hydrostatic equations with free surface in the free flow domain and on the Darcy model in the subsurface part. T…

math.NA2017★ 17 cited

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…