output
19962026
most citedIce structures, patterns, and processes: A view across the ice-fields

368 citations

Showing 2023 · math.NAShow all

6 papers · 2 filters

math.NA2023★ 15 cited

An EigenValue Stabilization Technique for Immersed Boundary Finite Element Methods in Explicit Dynamics

Sascha Eisenträger, Lars Radtke, Wadhah Garhuom +4

The application of immersed boundary methods in static analyses is often impeded by poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of e…

math.NA2023★ 3 cited

Spectral deferred correction methods for second-order problems

Ikrom Akramov, Sebastian Götschel, Michael Minion +2

Spectral deferred corrections (SDC) are a class of iterative methods for the numerical solution of ordinary differential equations. SDC can be interpreted as a Picard iteration to…

math.NA2023★ 10 cited

Vibroacoustic simulations of acoustic damping materials using a fictitious domain approach

Lars Radtke, Paul Marter, Fabian Duvigneau +3

The numerical investigation of acoustic damping materials, such as foams, constitutes a valuable enhancement to experimental testing. Typically, such materials are modeled in a hom…

math.NA2023★ 3 cited

Temporal approximation of stochastic evolution equations with irregular nonlinearities

Katharina Klioba, Mark Veraar

In this paper, we prove convergence for contractive time discretisation schemes for semi-linear stochastic evolution equations with irregular Lipschitz nonlinearities, initial valu…

math.NA2023★ 12 cited

Parareal with a physics-informed neural network as coarse propagator

Abdul Qadir Ibrahim, Sebastian Götschel, Daniel Ruprecht

Parallel-in-time algorithms provide an additional layer of concurrency for the numerical integration of models based on time-dependent differential equations. Methods like Parareal…

math.NA2023★ 2 cited

Pathwise Uniform Convergence of Time Discretisation Schemes for SPDEs

Katharina Klioba, Mark Veraar

In this paper, we prove convergence rates for time discretisation schemes for semi-linear stochastic evolution equations with additive or multiplicative Gaussian noise, where the l…