Search Results for author: Prashant K. Jha

Found 4 papers, 2 papers with code

Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value Problems

no code implementations21 Jun 2023 Prashant K. Jha

Numerical results involving a nonlinear reaction-diffusion model in two dimensions with PCANet-type neural operators show almost two orders of increase in the accuracy of approximations when neural operators are corrected using the correction scheme.

Inference Optimization

Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems

no code implementations6 Oct 2022 Lianghao Cao, Thomas O'Leary-Roseberry, Prashant K. Jha, J. Tinsley Oden, Omar Ghattas

We show that a trained neural operator with error correction can achieve a quadratic reduction of its approximation error, all while retaining substantial computational speedups of posterior sampling when models are governed by highly nonlinear PDEs.

Modeling and simulation of vascular tumors embedded in evolving capillary networks

1 code implementation22 Jan 2021 Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth

The flow in the blood vessels is controlled by Poiseuille flow, and Starling's law is applied to model the mass transfer in and out of blood vessels.

An asynchronous and task-based implementation of Peridynamics utilizing HPX -- the C++ standard library for parallelism and concurrency

1 code implementation18 Jun 2018 Patrick Diehl, Prashant K. Jha, Hartmut Kaiser, Robert Lipton, Martin Levesque

The scalability of asynchronous task-based implementation is to be in agreement with theoretical estimations.

Distributed, Parallel, and Cluster Computing Computational Physics

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