3 papers
math.NA2024
A Review of Neural Network Solvers for Second-order Boundary Value Problems
Ramesh Chandra Sau, Luowei Yin
Deep learning-based partial differential equation(PDE) solvers have received much attention in the past few years. Methods of this category can solve a wide range of PDEs with high…
math.NA2024
A two-grid Adaptive Finite Element Method for the Dirichlet Boundary Control Problem Governed by Stokes Equation
Thirupathi Gudi, Ramesh Chandra Sau
In this article, we derive \textit{a posteriori} error estimates for the Dirichlet boundary control problem governed by Stokes equation. An energy-based method has been deployed to…
math.NA2021
A two level finite element method for Stokes constrained Dirichlet boundary control problem
Thirupathi Gudi, Ramesh Ch. Sau
In this paper we present a finite element analysis for a Dirichlet boundary control problem governed by the Stokes equation. The Dirichlet control is considered in a convex closed…