Work

Unconditionally stable space–time isogeometric discretization for the wave equation in Hamiltonian formulation

Year: 2025

Type: article

Abstract: We consider a family of conforming space–time discretizations for the wave equation based on a first-order-in-time formulation employing maximal regularity splines. In contrast with second-order-in-time formulations, which require a CFL condition to guarantee stability, the methods we consider here are unconditionally stable without the need for stabilization terms. Along the lines of the work by Ferrari and Fraschini [ Math. Comput . (2025)], we address the stability analysis by studying the properties of the condition number of a family of matrices associated with the time discretization. Numerical tests validate the performance of the method.

Source: ESAIM Mathematical Modelling and Numerical Analysis

DOI: 10.1051/m2an/2025056

Authors: Matteo Ferrari, Sara Fraschini, Gabriele Loli, Ilaria Perugia

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funder: Austrian Science Fund

Awards: G3878859087, Problem-oriented Virtual Element Methods