13 citations · 27 across the 5 of their papers we have counts for
5 papers
A Super-Localized Generalized Finite Element Method
Philip Freese, Moritz Hauck, Tim Keil +1
This paper presents a novel multi-scale method for elliptic partial differential equations with arbitrarily rough coefficients. In the spirit of numerical homogenization, the metho…
Computational multiscale methods for nondivergence-form elliptic partial differential equations
Philip Freese, Dietmar Gallistl, Daniel Peterseim +1
This paper proposes novel computational multiscale methods for linear second-order elliptic partial differential equations in nondivergence-form with heterogeneous coefficients sat…
Super-localized orthogonal decomposition for convection-dominated diffusion problems
Francesca Bonizzoni, Philip Freese, Daniel Peterseim
This paper presents a multi-scale method for convection-dominated diffusion problems in the regime of large Péclet numbers. The application of the solution operator to piecewise co…
Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
Philip Freese, Moritz Hauck, Daniel Peterseim
We propose a novel variant of the Localized Orthogonal Decomposition (LOD) method for time-harmonic scattering problems of Helmholtz type with high wavenumber . On a coarse mesh…
The Heterogeneous Multiscale Method for dispersive Maxwell systems
Philip Freese
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…