456 citations · 639 across the 19 of their papers we have counts for
23 papers
Slip Wall Boundary Conditions in Curved Domains for Finite Element ALE Hydrodynamics
Nabil Atallah, Kevin Sweet, Paul Moujaes +3
We present a high-order finite element arbitrary Lagrangian-Eulerian (ALE) method for hydrodynamics with slip-wall boundary conditions on analytically curved domains. The method co…
Implicit Lagrangian Hydrodynamics with High-Order Finite Elements
Julian Andrej, John Camier, Veselin Dobrev +6
We present an implicit time integration capability for high-order curvilinear finite element Lagrangian hydrodynamics. Starting from an existing explicit formulation, the implicit…
High-Order Mesh r-Adaptivity with Tangential Relaxation and Guaranteed Mesh Validity
Ketan Mittal, Veselin Dobrev, Tzanio Kolev +1
High-order meshes are crucial for achieving optimal convergence rates in curvilinear domains, preserving symmetry, and aligning with key flow features in moving mesh simulations, b…
PDE-Constrained High-Order Mesh Optimization
Tzanio Kolev, Boyan Lazarov, Ketan Mittal +2
We present a novel framework for PDE-constrained -adaptivity of high-order meshes. The proposed method formulates mesh movement as an optimization problem, with an objective fun…
High-performance finite elements with MFEM
Julian Andrej, Nabil Atallah, Jan-Phillip Bäcker +15
The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and i…
Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries
Ketan Mittal, Veselin A. Dobrev, Patrick Knupp +4
Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fe…