35 citations · 165 across the 18 of their papers we have counts for
20 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…
A method for bounding high-order finite element functions: Applications to mesh validity and bounds-preserving limiters
Tarik Dzanic, Tzanio Kolev, Ketan Mittal
We introduce a novel method for bounding high-order multi-dimensional polynomials in finite element approximations. The method involves precomputing optimal piecewise-linear boundi…
General Field Evaluation in High-Order Meshes on GPUs
Ketan Mittal, Aditya Parik, Som Dutta +3
Robust and scalable function evaluation at any arbitrary point in the finite/spectral element mesh is required for querying the partial differential equation solution at points of…
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…
DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws
Tarik Dzanic, Ketan Mittal, Dohyun Kim +4
We introduce DynAMO, a reinforcement learning paradigm for Dynamic Anticipatory Mesh Optimization. Adaptive mesh refinement is an effective tool for optimizing computational cost a…
A High-Order Shifted Interface Method for Lagrangian Shock Hydrodynamics
Nabil M. Atallah, Ketan Mittal, Guglielmo Scovazzi +1
We present a new method for two-material Lagrangian hydrodynamics, which combines the Shifted Interface Method (SIM) with a high-order Finite Element Method. Our approach relies on…
Multi-Agent Reinforcement Learning for Adaptive Mesh Refinement
Jiachen Yang, Ketan Mittal, Tarik Dzanic +5
Adaptive mesh refinement (AMR) is necessary for efficient finite element simulations of complex physical phenomenon, as it allocates limited computational budget based on the need…
High-Order Mesh Morphing for Boundary and Interface Fitting to Implicit Geometries
Jorge-Luis Barrera, Tzanio Kolev, Ketan Mittal +1
We propose a method that morphs high-orger meshes such that their boundaries and interfaces coincide/align with implicitly defined geometries. Our focus is particularly on the case…
Accelerating High-Order Mesh Optimization Using Finite Element Partial Assembly on GPUs
Jean-Sylvain Camier, Veselin Dobrev, Patrick Knupp +4
In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Targ…
Adaptive Surface Fitting and Tangential Relaxation for High-Order Mesh Optimization
Patrick Knupp, Tzanio Kolev, Ketan Mittal +1
We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation a…
Reinforcement Learning for Adaptive Mesh Refinement
Jiachen Yang, Tarik Dzanic, Brenden Petersen +9
Large-scale finite element simulations of complex physical systems governed by partial differential equations (PDE) crucially depend on adaptive mesh refinement (AMR) to allocate c…
hr-adaptivity for nonconforming high-order meshes with the target matrix optimization paradigm
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +2
We present an -adaptivity framework for optimization of high-order meshes. This work extends the -adaptivity method for mesh optimization by Dobrev et al., where we utilized…
Stability analysis of a singlerate and multirate predictor-corrector scheme for overlapping grids
Ketan Mittal, Som Dutta, Paul Fischer
We use matrix stability analysis for a singlerate and multirate predictor-corrector scheme (PC) used to solve the incompressible Navier-Stokes equations (INSE) in overlapping grids…
Multirate Timestepping for the Incompressible Navier-Stokes Equations in Overlapping Grids
Ketan Mittal, Som Dutta, Paul Fischer
We develop a multirate timestepper for semi-implicit solutions of the unsteady incompressible Navier-Stokes equations (INSE) based on a recently-developed multidomain spectral elem…
Simulation-Driven Optimization of High-Order Meshes in ALE Hydrodynamics
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +3
In this paper we propose tools for high-order mesh optimization and demonstrate their benefits in the context of multi-material Arbitrary Lagrangian-Eulerian (ALE) compressible sho…
Direct Numerical Simulation of Rotating Ellipsoidal Particles using Moving Nonconforming Schwarz-Spectral Element Method
Ketan Mittal, Som Dutta, Paul Fischer
We present application of a highly-scalable overlapping grid-based nonconforming Schwarz-spectral element method (Schwarz-SEM) to study the dynamics of rotating ellipsoidal particl…
Nonconforming Schwarz-Spectral Element Methods For Incompressible Flow
Ketan Mittal, Som Dutta, Paul Fischer
We present scalable implementations of spectral-element-based Schwarz overlapping (overset) methods for the incompressible Navier-Stokes (NS) equations. Our SEM-based overset grid…
The Target-Matrix Optimization Paradigm for High-Order Meshes
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +2
We describe a framework for controlling and improving the quality of high-order finite element meshes based on extensions of the Target-Matrix Optimization Paradigm (TMOP) of Knupp…