Search Results - "Kolev, Tzanio"
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An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD
Published in Journal of computational physics (01-04-2022)“…The magnetohydrodynamics (MHD) equations are continuum models used in the study of a wide range of plasma physics systems, including the evolution of complex…”
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2
A matrix-free hyperviscosity formulation for high-order ALE hydrodynamics
Published in Computers & fluids (15-06-2020)“…•Hyperviscosity for ALE hydrodynamics with arbitrary order on unstructured meshes.•Robust shock capturing on moving high-order meshes with high-order…”
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3
End-to-end GPU acceleration of low-order-refined preconditioning for high-order finite element discretizations
Published in The international journal of high performance computing applications (01-09-2023)“…In this article, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order…”
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4
Scalability of high-performance PDE solvers
Published in The international journal of high performance computing applications (01-09-2020)“…Performance tests and analyses are critical to effective high-performance computing software development and are central components in the design and…”
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5
MAGMA: Enabling exascale performance with accelerated BLAS and LAPACK for diverse GPU architectures
Published in The international journal of high performance computing applications (01-09-2024)“…MAGMA (Matrix Algebra for GPU and Multicore Architectures) is a pivotal open-source library in the landscape of GPU-enabled dense and sparse linear algebra…”
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6
Efficient exascale discretizations: High-order finite element methods
Published in The international journal of high performance computing applications (01-11-2021)“…Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures…”
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7
High order curvilinear finite elements for elastic–plastic Lagrangian dynamics
Published in Journal of computational physics (01-01-2014)“…This paper presents a high-order finite element method for calculating elastic–plastic flow on moving curvilinear meshes and is an extension of our general…”
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8
Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients
Published in Journal of scientific computing (01-04-2016)“…In this paper, we extend some of the multilevel convergence results obtained by Xu and Zhu in [Xu and Zhu, M3AS 2008 ], to the case of second order linear…”
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Matrix-free approaches for GPU acceleration of a high-order finite element hydrodynamics application using MFEM, Umpire, and RAJA
Published in The international journal of high performance computing applications (01-07-2022)“…With the introduction of advanced heterogeneous computing architectures based on GPU accelerators, large-scale production codes have had to rethink their…”
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10
High-performance finite elements with MFEM
Published in The international journal of high performance computing applications (01-09-2024)“…The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite…”
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11
High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics
Published in Computers & fluids (16-08-2013)“…In this paper we present an extension of our general high-order curvilinear finite element approach for solving the Euler equations in a Lagrangian frame [1]…”
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12
The approximation of the Maxwell eigenvalue problem using a least-squares method
Published in Mathematics of computation (01-10-2005)“…In this paper we consider an approximation to the Maxwell's eigenvalue problem based on a very weak formulation of two div-curl systems with complementary…”
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13
AMG by element agglomeration and constrained energy minimization interpolation
Published in Numerical linear algebra with applications (01-11-2006)“…This paper studies AMG (algebraic multigrid) methods that utilize energy minimization construction of the interpolation matrices locally, in the setting of…”
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14
H(curl) auxiliary mesh preconditioning
Published in Numerical linear algebra with applications (01-06-2008)“…This paper analyses a two‐level preconditioning scheme for H(curl) bilinear forms. The scheme utilizes an auxiliary problem on a related mesh that is more…”
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15
MFEM: A modular finite element methods library
Published in Computers & mathematics with applications (1987) (01-01-2021)“…MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite element methods that features arbitrary high-order finite element…”
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16
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations
Published in Computer methods in applied mechanics and engineering (01-02-2020)“…In this work, we introduce a new residual distribution (RD) framework for the design of bound-preserving high-resolution finite element schemes. The continuous…”
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17
End-to-end GPU acceleration of low-order-refined preconditioning for high-order finite element discretizations
Published in The international journal of high performance computing applications (01-06-2023)“…In this article, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order…”
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18
Matrix‐free preconditioning for high‐order H (curl) discretizations
Published in Numerical linear algebra with applications (09-11-2020)Get full text
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Matrix-free preconditioning for high-order H(curl) discretizations
Published in Numerical linear algebra with applications (09-11-2020)“…The greater arithmetic intensity of high-order finite element discretizations makes them attractive for implementation on next-generation hardware, but…”
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20
hr-Adaptivity for nonconforming high-order meshes with the target matrix optimization paradigm
Published in Engineering with computers (01-08-2022)“…We present an hr -adaptivity framework for optimization of high-order meshes. This work extends the r -adaptivity method by Dobrev et al. (Comput Fluids,…”
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