456 citations · 689 across the 31 of their papers we have counts for
36 papers
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…
Accelerating High-Order Finite Element Simulations at Extreme Scale with FP64 Tensor Cores
Jiqun Tu, Ian Karlin, John Camier +4
Finite element simulations play a critical role in a wide range of applications, from automotive design to tsunami modeling and computational electromagnetics. Performing these sim…
An open-source computational framework for immersed fluid-structure interaction modeling using FEBio and MFEM
Ryan T. Black, Steve A. Maas, Wensi Wu +4
Fluid-structure interaction (FSI) simulation of biological systems presents significant computational challenges, particularly for applications involving large structural deformati…
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…
Scalable Analysis and Design Using Automatic Differentiation
Julian Andrej, Tzanio Kolev, Boyan Lazarov
This article aims to demonstrate and discuss the applications of automatic differentiation (AD) for finding derivatives in PDE-constrained optimization problems and Jacobians in no…
Algebraic Multigrid with Filtering: An Efficient Preconditioner for Interior Point Methods in Large-Scale Contact Mechanics Optimization
Socratis Petrides, Tucker Hartland, Tzanio Kolev +6
Large-scale contact mechanics simulations are crucial in many engineering fields such as structural design and manufacturing. In the frictionless case, contact can be modeled by mi…
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…
Real-time Bayesian inference at extreme scale: A digital twin for tsunami early warning applied to the Cascadia subduction zone
Stefan Henneking, Sreeram Venkat, Veselin Dobrev +5
We present a Bayesian inversion-based digital twin that employs acoustic pressure data from seafloor sensors, along with 3D coupled acoustic-gravity wave equations, to infer earthq…
Differentiable Lagrangian Shock Hydrodynamics with Application to Stable Shock Acceleration of Density Interfaces
Kevin Korner, Brandon Talamini, Julian Andrej +8
We develop a gradient based optimization approach for the equations of compressible, Lagrangian hydrodynamics and demonstrate how it can be employed to automatically uncover strate…
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…
An adaptive Newton-based free-boundary Grad-Shafranov solver
Daniel A. Serino, Qi Tang, Xian-Zhu Tang +2
Equilibria in magnetic confinement devices result from force balancing between the Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a tokamak,…
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…
Matrix-free GPU-accelerated saddle-point solvers for high-order problems in
Will Pazner, Tzanio Kolev, Panayot Vassilevski
This work describes the development of matrix-free GPU-accelerated solvers for high-order finite element problems in . The solvers are applicable to grad-div and D…
End-to-end GPU acceleration of low-order-refined preconditioning for high-order finite element discretizations
Will Pazner, Tzanio Kolev, Jean-Sylvain Camier
In this paper, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order finite element problems.…
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…
Low-order preconditioning for the high-order finite element de Rham complex
Will Pazner, Tzanio Kolev, Clark Dohrmann
In this paper we present a unified framework for constructing spectrally equivalent low-order-refined discretizations for the high-order finite element de Rham complex. This theory…
Matrix-free approaches for GPU acceleration of a high-order finite element hydrodynamics application using MFEM, Umpire, and RAJA
Arturo Vargas, Thomas M. Stitt, Kenneth Weiss +4
With the introduction of advanced heterogeneous computing architectures based on GPU accelerators, large-scale production codes have had to rethink their numerical algorithms and i…
GPU Algorithms for Efficient Exascale Discretizations
Ahmad Abdelfattah, Valeria Barra, Natalie Beams +24
In this paper we describe the research and development activities in the Center for Efficient Exascale Discretization within the US Exascale Computing Project, targeting state-of-t…
Efficient Exascale Discretizations: High-Order Finite Element Methods
Tzanio Kolev, Paul Fischer, Misun Min +27
Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that ex…
An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD
Qi Tang, Luis Chacon, Tzanio V. Kolev +2
The magnetohydrodynamics (MHD) equations are continuum models used in the study of a wide range of plasma physics systems, including the evolution of complex plasma dynamics in tok…
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…