Zobrazeno 1 - 10
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pro vyhledávání: '"Freese, Philip"'
Autor:
Witte, Maximilian, Lapolli, Fabricio Rodrigues, Freese, Philip, Götschel, Sebastian, Ruprecht, Daniel, Korn, Peter, Kadow, Christopher
Using the nonlinear shallow water equations as benchmark, we demonstrate that a simulation with the ICON-O ocean model with a 20km resolution that is frequently corrected by a U-net-type neural network can achieve discretization errors of a simulatio
Externí odkaz:
http://arxiv.org/abs/2404.06400
We investigate parallel performance of parallel spectral deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial value problems. The scheme is applied to the shallow water equation and us
Externí odkaz:
http://arxiv.org/abs/2403.20135
Publikováno v:
Comput. Methods Appl. Math., 24(3):649-672, 2024
This paper proposes novel computational multiscale methods for linear second-order elliptic partial differential equations in nondivergence-form with heterogeneous coefficients satisfying a Cordes condition. The construction follows the methodology o
Externí odkaz:
http://arxiv.org/abs/2211.13731
This paper presents a novel multi-scale method for elliptic partial differential equations with arbitrarily rough coefficients. In the spirit of numerical homogenization, the method constructs problem-adapted ansatz spaces with uniform algebraic appr
Externí odkaz:
http://arxiv.org/abs/2211.09461
This paper presents a multi-scale method for convection-dominated diffusion problems in the regime of large P\'eclet numbers. The application of the solution operator to piecewise constant right-hand sides on some arbitrary coarse mesh defines a fini
Externí odkaz:
http://arxiv.org/abs/2206.01975
We propose a novel variant of the Localized Orthogonal Decomposition (LOD) method for time-harmonic scattering problems of Helmholtz type with high wavenumber $\kappa$. On a coarse mesh of width $H$, the proposed method identifies local finite elemen
Externí odkaz:
http://arxiv.org/abs/2112.11368
Autor:
Freese, Philip
In this work, we apply the finite element heterogeneous multiscale method to a class of dispersive first-order time-dependent Maxwell systems. For this purpose, we use an analytic homogenization result, which shows that the effective system contains
Externí odkaz:
http://arxiv.org/abs/2110.01348
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Publikováno v:
Computational Methods in Applied Mathematics; Jul2024, Vol. 24 Issue 3, p649-672, 24p
Publikováno v:
SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 4, pA2377-A2397, 21p