3 papers
math.NA2026
An unconditionally stable space-time isogeometric method for a biharmonic wave equation
S. Chauhan, S. Chaudhary
This work presents a space-time isogeometric analysis of biharmonic wave problem, in contrast to the more common application of space-time methods to second order wave equations. W…
math.NA2025
Space-time isogeometric method for a linear fourth order time dependent problem
Shreya Chauhan, Sudhakar Chaudhary
This article focuses on the space-time isogeometric method for a linear time dependent fourth order problem. Using an auxiliary variable, first the problem is split into a system o…
math.NA2024
Space-Time Isogeometric Method for a Nonlocal Parabolic Problem
Sudhakar Chaudhary, Shreya Chauhan, Monica Montardini
In the present work, we focus on the space-time isogeometric discretization of a parabolic problem with a nonlocal diffusion coefficient. The existence and uniqueness of the soluti…