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06/20/2023
CFL Optimized Forward-Backward Runge-Kutta Schemes for the Shallow Water Equations
We present the formulation and optimization of a Runge-Kutta-type time-s...
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05/31/2023
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type
Nonlocal models allow for the description of phenomena which cannot be c...
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03/15/2022
An asymptotically compatible coupling formulation for nonlocal interface problems with jumps
We introduce a mathematically rigorous formulation for a nonlocal interf...
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06/14/2021
Local time stepping for the shallow water equations in MPAS-Ocean
We assess the performance of a set of local time-stepping schemes for th...
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01/21/2021
Efficient quadrature rules for finite element discretizations of nonlocal equations
In this paper we design efficient quadrature rules for finite element di...
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08/26/2020
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions
A rigorous mathematical framework is provided for a substructuring-based...
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01/11/2020
An energy-based coupling approach to nonlocal interface problems
Nonlocal models provide accurate representations of physical phenomena r...
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10/25/2019
A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient
We present a computational study of several preconditioning techniques f...
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06/26/2019