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05/18/2023
Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods
We introduce three new stopping criteria that balance algebraic and disc...
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03/19/2022
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows
High order entropy stable schemes provide improved robustness for comput...
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02/25/2022
HipBone: A performance-portable GPU-accelerated C++ version of the NekBone benchmark
We present hipBone, an open source performance-portable proxy applicatio...
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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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08/18/2021
A Local Discontinuous Galerkin Level Set Reinitialization with Subcell Stabilization on Unstructured Meshes
In this paper we consider a level set reinitialization technique based o...
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04/12/2021
NekRS, a GPU-Accelerated Spectral Element Navier-Stokes Solver
The development of NekRS, a GPU-oriented thermal-fluids simulation code ...
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11/22/2020
Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations
Entropy stable schemes ensure that physically meaningful numerical solut...
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09/23/2020
Portable high-order finite element kernels I: Streaming Operations
This paper is devoted to the development of highly efficient kernels per...
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09/23/2020
Initial Guesses for Sequences of Linear Systems in a GPU-Accelerated Incompressible Flow Solver
We consider several methods for generating initial guesses when iterativ...
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04/14/2020
