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pro vyhledávání: '"Kuberry, P."'
Optimization-based coupling (OBC) is an attractive alternative to traditional Lagrange multiplier approaches in multiple modeling and simulation contexts. However, application of OBC to time-dependent problem has been hindered by the computational co
Externí odkaz:
http://arxiv.org/abs/2408.14450
Partitioned methods for coupled problems rely on data transfers between subdomains to synchronize the subdomain equations and enable their independent solution. By treating each subproblem as a separate entity, these methods enable code reuse, increa
Externí odkaz:
http://arxiv.org/abs/2402.03560
Publikováno v:
Comput. Math. Appl., vol. 147, pp. 1--13, 2023
Approximating differential operators defined on two-dimensional surfaces is an important problem that arises in many areas of science and engineering. Over the past ten years, localized meshfree methods based on generalized moving least squares (GMLS
Externí odkaz:
http://arxiv.org/abs/2309.04035
This paper formulates, analyzes, and demonstrates numerically a method for the partitioned solution of coupled interface problems involving combinations of projection-based reduced order models (ROM) and/or full order methods (FOMs). The method build
Externí odkaz:
http://arxiv.org/abs/2306.05531
Partitioned methods allow one to build a simulation capability for coupled problems by reusing existing single-component codes. In so doing, partitioned methods can shorten code development and validation times for multiphysics and multiscale applica
Externí odkaz:
http://arxiv.org/abs/2206.04736
A parallel implementation of a compatible discretization scheme for steady-state Stokes problems is presented in this work. The scheme uses generalized moving least squares to generate differential operators and apply boundary conditions. This meshle
Externí odkaz:
http://arxiv.org/abs/2104.14447
Publikováno v:
Journal of Comp. Phys.,453, (2022)
We develop numerical methods for computing statistics of stochastic processes on surfaces of general shape with drift-diffusion dynamics $d\mathbf{X}_t = a(\mathbf{X}_t)dt + \mathbf{b}(\mathbf{X}_t)d\mathbf{W}_t$. We formulate descriptions of Brownia
Externí odkaz:
http://arxiv.org/abs/2102.02421
Autor:
Aadithya, K., Kuberry, P., Paskaleva, B., Bochev, P., Leeson, K., Mar, A., Mei, T., Keiter, E.
Compact semiconductor device models are essential for efficiently designing and analyzing large circuits. However, traditional compact model development requires a large amount of manual effort and can span many years. Moreover, inclusion of new phys
Externí odkaz:
http://arxiv.org/abs/2001.01699
Akademický článek
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Publikováno v:
Journal of Comp. Phys, Vol. 409, 15 (2020)
We utilize generalized moving least squares (GMLS) to develop meshfree techniques for discretizing hydrodynamic flow problems on manifolds. We use exterior calculus to formulate incompressible hydrodynamic equations in the Stokesian regime and handle
Externí odkaz:
http://arxiv.org/abs/1905.10469