Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

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We are interested in a reduced order method for the efficient simulation of blood flow in arteries. The blood dynamics is modeled by means of the incompressible Navier–Stokes equations. Our algorithm is based on an approximated domain-decomposition of the ...

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

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Adaptive analysis-aware defeaturing

Failure and success of the spectral bias prediction for Laplace Kernel Ridge Regression: the case of low-dimensional data

Covering Convex Bodies and the Closest Vector Problem

Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters

Positive moments for scattering amplitudes

Convex optimization in sums of Banach spaces

Adaptive Path Interpolation Method for Sparse Systems: Application to a Censored Block Model

An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations

A probabilistic finite element method based on random meshes: A posteriori error estimators and Bayesian inverse problems

Fabrication, Characterization, and Simulation of Glass Devices with AlN Thin-Film Transducers for Excitation of Ultrasound Resonances

Numerical Methods for First and Second Order Fully Nonlinear Partial Differential Equations

Substructured Two-grid and Multi-grid Domain Decomposition Methods

Model order reduction of flow based on a modular geometrical approximation of blood vessels