Work

Space-time isogeometric method for a nonlocal parabolic problem

Year: 2026

Type: article

Abstract: 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 solution for the continuous space-time variational formulation are proven. We prove the existence of the discrete solution and also establish the a priori error estimate for the space-time isogeometric scheme. The non-linear system is linearized through Picard’s method, and a suitable preconditioner for the linearized system is provided. Finally, to confirm the theoretical findings, the results of some numerical experiments are presented.

Source: Advances in Computational Mathematics

DOI: 10.1007/s10444-026-10285-9

Authors: Sudhakar Chaudhary, Shreya Chauhan, Monica Montardini

Institution: University of Pavia

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Department of Science and Technology, Ministry of Science and Technology, India, Università degli Studi di Pavia, Gruppo Nazionale per il Calcolo Scientifico