Christian Glusa
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View article: Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale
Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale Open
Trilinos is a community-developed, open-source software framework that facilitates building large-scale, complex, multiscale, multiphysics simulation code bases for scientific and engineering problems. Since the Trilinos framework has unde…
View article: Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu)
Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu) Open
View article: Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu)
Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu) Open
View article: A splice method for local-to–nonlocal coupling of weak forms
A splice method for local-to–nonlocal coupling of weak forms Open
View article: A Splice Method for Local-to-Nonlocal Coupling of Weak Forms
A Splice Method for Local-to-Nonlocal Coupling of Weak Forms Open
We propose a method to couple local and nonlocal diffusion models. By inheriting desirable properties such as patch tests, asymptotic compatibility and unintrusiveness from related splice and optimization-based coupling schemes, it enables…
View article: Finite element methods for nonlocal problems - Theoretical background material for PyNucleus
Finite element methods for nonlocal problems - Theoretical background material for PyNucleus Open
View article: Scalable methods for nonlocal models
Scalable methods for nonlocal models Open
View article: Training Neural Networks with PyROL:Algorithms and Examples
Training Neural Networks with PyROL:Algorithms and Examples Open
View article: MACHINE LEARNING-BASED IDENTIFICATION OF THE INTERFACE REGIONS FOR COUPLING LOCAL AND NONLOCAL MODELS
MACHINE LEARNING-BASED IDENTIFICATION OF THE INTERFACE REGIONS FOR COUPLING LOCAL AND NONLOCAL MODELS Open
Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models (LMs) and the accuracy of nonlocal models (NLMs). However, the coupling process can be challenging, requiring expertise to identify …
View article: Mixed Precision Strategies for GMRES in TrilinosJennifer.
Mixed Precision Strategies for GMRES in TrilinosJennifer. Open
View article: A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type Open
View article: Performance of algebraic multigrid on GPUs
Performance of algebraic multigrid on GPUs Open
View article: New Linear Solvers Features and Improvements in Trilinos
New Linear Solvers Features and Improvements in Trilinos Open
View article: Optimal control for fractional order equations
Optimal control for fractional order equations Open
View article: A Fractional Model for Anomalous Diffusion with Increased Variability
A Fractional Model for Anomalous Diffusion with Increased Variability Open
View article: An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps Open
Here, we introduce a mathematically rigorous formulation for a nonlocal interface problem with jumps and propose an asymptotically compatible finite element discretization for the weak form of the interface problem. After proving the well-…
View article: A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type Open
Nonlocal models allow for the description of phenomena which cannot be captured by classical partial differential equations. The availability of efficient solvers is one of the main concerns for the use of nonlocal models in real world eng…
View article: Control of Fractional Diffusion Problems via Dynamic Programming Equations
Control of Fractional Diffusion Problems via Dynamic Programming Equations Open
View article: High-Performance GMRES Multi-Precision Benchmark
High-Performance GMRES Multi-Precision Benchmark Open
View article: Algebraic multigrid solver for nonlocal equations
Algebraic multigrid solver for nonlocal equations Open
View article: Algebraic multigrid solver for nonlocal equations
Algebraic multigrid solver for nonlocal equations Open
View article: Algebraic multigrid and hierarchical matrices
Algebraic multigrid and hierarchical matrices Open
View article: High-Performance GMRES Mixed-Precision (HPG-MxP) Benchmark
High-Performance GMRES Mixed-Precision (HPG-MxP) Benchmark Open
SAND2024-08539O The High Performance GMRES Mixed-Precision (HPG-MxP) is a benchmark for ranking high-performance supercomputers, allowing use of mixed-precision. Similar to HPCG benchmark, it is designed to profile the computers' capabilit…
View article: Algebraic multigrid solver for nonlocal equations.
Algebraic multigrid solver for nonlocal equations. Open
View article: High-Performance GMRES Multi-Precision Benchmark.
High-Performance GMRES Multi-Precision Benchmark. Open
View article: High-Performance GMRES Multi-Precision Benchmark: Design, Performance, and Challenges
High-Performance GMRES Multi-Precision Benchmark: Design, Performance, and Challenges Open
We propose a new benchmark for high-performance (HP) computers. Similar to High Performance Conjugate Gradient (HPCG), the new benchmark is designed to rank computers based on how fast they can solve a sparse linear system of equations, ex…
View article: Control of fractional diffusion problems via dynamic programming equations
Control of fractional diffusion problems via dynamic programming equations Open
We explore the approximation of feedback control of integro-differential equations containing a fractional Laplacian term. To obtain feedback control for the state variable of this nonlocal equation we use the Hamilton--Jacobi--Bellman equ…
View article: Higher-order geometric-algebraic multigrid.
Higher-order geometric-algebraic multigrid. Open
View article: PyTrilinos2: automatic (re)generation of a Python interface for Trilinos.
PyTrilinos2: automatic (re)generation of a Python interface for Trilinos. Open
View article: Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves
Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves Open
Anomalous behavior is ubiquitous in subsurface solute transport due to the presence of high degrees of heterogeneity at different scales in the media. Although fractional models have been extensively used to describe the anomalous transpor…