Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Glusa, Christian A."'
Local-nonlocal coupling approaches combine the computational efficiency of local models and the accuracy of nonlocal models. However, the coupling process is challenging, requiring expertise to identify the interface between local and nonlocal region
Externí odkaz:
http://arxiv.org/abs/2404.15388
Autor:
Jiang, Shuai, Glusa, Christian
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 the use of
Externí odkaz:
http://arxiv.org/abs/2404.13744
Autor:
Klar, Manuel, Capodaglio, Giacomo, D'Elia, Marta, Glusa, Christian, Gunzburger, Max, Vollmann, Christian
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 engineering ap
Externí odkaz:
http://arxiv.org/abs/2306.00094
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 equation. It i
Externí odkaz:
http://arxiv.org/abs/2210.09827
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-posedness of the
Externí odkaz:
http://arxiv.org/abs/2203.07565
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 transport in variou
Externí odkaz:
http://arxiv.org/abs/2201.11146
Autor:
Loe, Jennifer A., Glusa, Christian A., Yamazaki, Ichitaro, Boman, Erik G., Rajamanickam, Sivasankaran
Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. However, computational science and engineering (CSE) problems require dou
Externí odkaz:
http://arxiv.org/abs/2109.01232
Autor:
Loe, Jennifer A., Glusa, Christian A., Yamazaki, Ichitaro, Boman, Erik G., Rajamanickam, Sivasankaran
Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. However, computational science and engineering (CSE) problems require dou
Externí odkaz:
http://arxiv.org/abs/2105.07544
We propose a domain decomposition method for the efficient simulation of nonlocal problems. Our approach is based on a multi-domain formulation of a nonlocal diffusion problem where the subdomains share "nonlocal" interfaces of the size of the nonloc
Externí odkaz:
http://arxiv.org/abs/2105.07309
Graph partitioning has been an important tool to partition the work among several processors to minimize the communication cost and balance the workload. While accelerator-based supercomputers are emerging to be the standard, the use of graph partiti
Externí odkaz:
http://arxiv.org/abs/2105.00578