A Conforming Virtual Element Method for Parabolic Integro-Differential Equations

• Published in: Journal of computational methods in applied mathematics Vol. 24; no. 4; pp. 1001 - 1019
• Main Authors: Yadav, Sangita, Suthar, Meghana, Kumar, Sarvesh
• Format: Journal Article
• Language: English
• Published: Minsk De Gruyter 01.10.2024; Walter de Gruyter GmbH
• Subjects: 65M15; 65N12; 65N15; Differential equations; Discretization; Error Estimates; Mathematics; Parabolic Integro-Differential Equation; Variational Formulation; Virtual Element Method

This article develops and analyses a conforming virtual element scheme for the spatial discretization of parabolic integro-differential equations combined with backward Euler’s scheme for temporal discretization. With the help of Ritz–Voltera and projection operators, optimal a priori error estimate...