Analysis of two-grid method for second-order hyperbolic equation by expanded mixed finite element methods

• Published in: Open mathematics (Warsaw, Poland) Vol. 22; no. 1; pp. 90 - 116
• Main Author: Wang, Keyan
• Format: Journal Article
• Language: English
• Published: Warsaw De Gruyter 27.08.2024; De Gruyter Poland
• Subjects: 35L20; 65M60; Algorithms; Approximation; Asymptotic methods; error estimate; expanded mixed finite element method; Finite element method; Grid method; hyperbolic equation; Mathematical analysis; Numerical stability; Two dimensional analysis; two-grid method

In this article, we present a scheme for solving two-dimensional hyperbolic equation using an expanded mixed finite element method. To solve the resulting nonlinear expanded mixed finite element system more efficiently, we propose a two-step two-grid algorithm. Numerical stability and error estimate...