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04/24/2023
Matrix-free GPU-accelerated saddle-point solvers for high-order problems in H(div)
This work describes the development of matrix-free GPU-accelerated solve...
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10/21/2022
End-to-end GPU acceleration of low-order-refined preconditioning for high-order finite element discretizations
In this paper, we present algorithms and implementations for the end-to-...
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08/09/2022
High-Order Mesh Morphing for Boundary and Interface Fitting to Implicit Geometries
We propose a method that morphs high-orger meshes such that their bounda...
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05/24/2022
Accelerating High-Order Mesh Optimization Using Finite Element Partial Assembly on GPUs
In this paper we present a new GPU-oriented mesh optimization method bas...
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03/04/2022
Low-order preconditioning for the high-order finite element de Rham complex
In this paper we present a unified framework for constructing spectrally...
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12/14/2021
Matrix-free approaches for GPU acceleration of a high-order finite element hydrodynamics application using MFEM, Umpire, and RAJA
With the introduction of advanced heterogeneous computing architectures ...
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09/10/2021
GPU Algorithms for Efficient Exascale Discretizations
In this paper we describe the research and development activities in the...
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09/10/2021
Efficient Exascale Discretizations: High-Order Finite Element Methods
Efficient exploitation of exascale architectures requires rethinking of ...
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05/25/2021
Adaptive Surface Fitting and Tangential Relaxation for High-Order Mesh Optimization
We propose a new approach for controlling the characteristics of certain...
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03/09/2021
Conservative and accurate solution transfer between high-order and low-order refined finite element spaces
In this paper we introduce general transfer operators between high-order...
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03/01/2021
Reinforcement Learning for Adaptive Mesh Refinement
Large-scale finite element simulations of complex physical systems gover...
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10/05/2020
hr-adaptivity for nonconforming high-order meshes with the target matrix optimization paradigm
We present an hr-adaptivity framework for optimization of high-order mes...
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09/02/2020
Uniform subspace correction preconditioners for discontinuous Galerkin methods with hp-refinement
In this paper, we develop subspace correction preconditioners for discon...
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04/14/2020
Scalability of High-Performance PDE Solvers
Performance tests and analyses are critical to effective HPC software de...
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01/30/2020
Simulation-Driven Optimization of High-Order Meshes in ALE Hydrodynamics
In this paper we propose tools for high-order mesh optimization and demo...
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11/20/2019
MFEM: a modular finite element methods library
MFEM is an open-source, lightweight, flexible and scalable C++ library f...
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05/10/2019