From the 1 of 16 linked papers with an AI index.
16 papers
Invariant-domain-preserving limiting with Adaptive Mesh Refinement for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods
Benjamin Bolm, Andrés M. Rueda-RamÃrez, Dmitri Kuzmin +1
The paper introduces an invariant‑domain‑preserving limiting technique for high‑order Legendre‑Gauss‑Lobatto discontinuous Galerkin spectral element methods with adaptive mesh refi…
Heat Transfer Modeling in Enhanced Geothermal Energy: A Three-Temperature Approach for Solid, Injected, and Residing Fluids
Yi-Yung Yang, Sanghyun Lee, Dmitri Kuzmin
Enhanced geothermal systems (EGS) involve strongly coupled, advection-dominated flow and heat transfer in fractured porous media. Conventional models typically assume local thermal…
Bound-Preserving Flux-Corrected Transport Methods for Solving Richards' Equation
Arnob Barua, Christopher E. Kees, Dmitri Kuzmin
Simulating infiltration in porous media using Richards' equation remains computationally challenging due to its parabolic structure and nonlinear coefficients. While a wide range o…
Bathymetry reconstruction via optimal control in well-balanced finite element methods for the shallow water equations
Falko Ruppenthal, Dmitri Kuzmin
Accurate prediction of shallow water flows relies on precise bottom topography data, yet direct bathymetric surveys are expensive and time-consuming. In contrast, remote sensing pl…
Realizability-preserving finite element discretizations of the model for dose calculation in proton therapy
Paul Moujaes, Dmitri Kuzmin, Christian Bäumer
We present a deterministic framework for proton therapy dose calculation based on finite element discretizations of the energy-dependent moment model. The nonlinear sys…
Convex limiting for finite elements and its relationship to residual distribution
Dmitri Kuzmin
We review some recent advances in the field of element-based algebraic stabilization for continuous finite element discretizations of nonlinear hyperbolic problems. The main focus…