Search Results for author: Frederic Gibou

Found 4 papers, 2 papers with code

Neuro-symbolic partial differential equation solver

no code implementations25 Oct 2022 Pouria Mistani, Samira Pakravan, Rajesh Ilango, Sanjay Choudhry, Frederic Gibou

We present a highly scalable strategy for developing mesh-free neuro-symbolic partial differential equation solvers from existing numerical discretizations found in scientific computing.

JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities

1 code implementation25 Oct 2022 Pouria Mistani, Samira Pakravan, Rajesh Ilango, Frederic Gibou

We present a scalable strategy for development of mesh-free hybrid neuro-symbolic partial differential equation solvers based on existing mesh-based numerical discretization methods.

A deep learning approach for the computation of curvature in the level-set method

1 code implementation4 Feb 2020 Luis Ángel Larios-Cárdenas, Frederic Gibou

We propose a deep learning strategy to estimate the mean curvature of two-dimensional implicit interfaces in the level-set method.

Solving inverse-PDE problems with physics-aware neural networks

no code implementations10 Jan 2020 Samira Pakravan, Pouria A. Mistani, Miguel Angel Aragon-Calvo, Frederic Gibou

We propose a novel composite framework to find unknown fields in the context of inverse problems for partial differential equations (PDEs).

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