Publications related to Numerical stability

TCB-spline-based isogeometric analysis method with high-quality parameterizations

Isogeometric analysis (IGA) was introduced to integrate methods for analysis and computer-aided design (CAD) into a unified process. High-quality parameterization of a physical domain plays a crucial role in IGA. However, obtaining high-quality parameteriz ...

ELSEVIER SCIENCE SA2022

An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics

Junming Duan

The isentropic vortex problem is frequently solved to test the accuracy of numerical methods and verify corresponding code. Unfortunately, its existing solution was derived in the relativistic magnetohydrodynamics by numerically solving an ordinary differe ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology

Alfio Quarteroni, Simone Deparis, Riccardo Tenderini, Stefano Pagani

In this work, we present a PDE-aware deep learning model for the numerical solution to the inverse problem of electrocardiography. The model both leverages data availability and exploits the knowledge of a physically based mathematical model, expressed by ...

2022

Numerical Studies of Brillouin-induced Polarization Pulling of Probe and Pump in Weakly-Birefringent Optical fibers with Applications to BOTDA

Luc Thévenaz, Marcelo Alfonso Soto Hernandez

Numerical solution of the involved governing equations confirm that the commonly used two orthogonal sets of gain- and loss-probes in BOTDA, differently affect the evolution of the pump state-of- polarization, thereby potentially compromising the minimizat ...

Optica Publishing Group2022

Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method

Fabio Nobile, Sundar Subramaniam Ganesh

In this work, we tackle the problem of minimising the Conditional-Value-at-Risk (CVaR) of output quantities of complex differential models with random input data, using gradient-based approaches in combination with the Multi-Level Monte Carlo (MLMC) method ...

2022

Physics-informed neural networks for diffraction tomography

Demetri Psaltis, Carlo Gigli, Amirhossein Saba Shirvan, Ahmed Ayoub

We propose a physics-informed neural network (PINN) as the forward model for tomographic reconstructions of biological samples. We demonstrate that by training this network with the Helmholtz equation as a physical loss, we can predict the scattered field ...

SPIE-SOC PHOTO-OPTICAL INSTRUMENTATION ENGINEERS2022

Limiting the impact of supply chain disruptions in the face of distributional uncertainty in demand

Ralf Seifert, Anna Timonina-Farkas, René Yves Glogg

Service-level requirements play a crucial role in eliminating stock-outs in a production pipeline. However, delivering a specific service level can become an unattainable goal given the various uncertainties influencing both the production pipeline and cus ...

WILEY2022

Adaptive analysis-aware defeaturing

Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon

Removing geometrical details from a complex domain is a classical operation in computer aided design for simulation and manufacturing. This procedure simplifies the meshing process, and it enables faster simulations with less memory requirements. But depen ...

2022

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Numerical stability

TCB-spline-based isogeometric analysis method with high-quality parameterizations

An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics

PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology

Numerical Studies of Brillouin-induced Polarization Pulling of Probe and Pump in Weakly-Birefringent Optical fibers with Applications to BOTDA

Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method

Conservation of Forces and Total Work at the Interface Using the Internodes Method

Physics-informed neural networks for diffraction tomography

Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation

Limiting the impact of supply chain disruptions in the face of distributional uncertainty in demand

Adaptive analysis-aware defeaturing

Graph Chatbot

Chat with Graph Search

Numerical Studies of Brillouin-induced Polarization Pulling of Probe and Pump in Weakly-Birefringent Optical fibers with Applications to BOTDA

An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics

Physics-informed neural networks for diffraction tomography

Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation

TCB-spline-based isogeometric analysis method with high-quality parameterizations

Limiting the impact of supply chain disruptions in the face of distributional uncertainty in demand

Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method

Conservation of Forces and Total Work at the Interface Using the Internodes Method

PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology

Adaptive analysis-aware defeaturing