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05/30/2023
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow
We analyze numerical approximations for axisymmetric two-phase flow in t...
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03/06/2023
Unfitted finite element methods for axisymmetric two-phase flow
We propose and analyze unfitted finite element approximations for the tw...
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12/16/2022
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches
We consider the numerical approximation of a sharp-interface model for t...
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10/04/2022
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
We present a diffuse-interface model for the solid-state dewetting probl...
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02/14/2022
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters
We consider the evolution of curve networks in two dimensions (2d) and s...
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11/26/2021
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations
We propose and analyze volume-preserving parametric finite element metho...
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11/19/2021
GRecX: An Efficient and Unified Benchmark for GNN-based Recommendation
In this paper, we present GRecX, an open-source TensorFlow framework for...
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04/06/2021
A Thermodynamically Consistent Model and Its Conservative Numerical Approximation for Moving Contact Lines with Soluble Surfactants
We derive a continuum sharp-interface model for moving contact lines wit...
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04/03/2021
A structure-preserving parametric finite element method for surface diffusion
We propose a structure-preserving parametric finite element method (SP-P...
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01/27/2021
Efficient Graph Deep Learning in TensorFlow with tf_geometric
We introduce tf_geometric, an efficient and friendly library for graph d...
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12/21/2020
An Energy-Stable Parametric Finite Element Method for Simulating Solid-state Dewetting Problems in Three Dimensions
We propose an accurate and energy-stable parametric finite element metho...
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06/13/2020