A review of discontinuous Galerkin time-stepping methods for wave propagation problems

Keywords

Advanced Numerical Methods for Scientific Computing
Geosciences/Protection of Land and Water Resources
Code:
27/2025
Title:
A review of discontinuous Galerkin time-stepping methods for wave propagation problems
Date:
Saturday 10th May 2025
Author(s):
Antonietti P.F.; Artoni, A.; Ciaramella, G.; Mazzieri, I.
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Abstract:
This chapter reviews and compares discontinuous Galerkin time-stepping methods for the numerical approximation of second-order ordinary differential equations, particularly those stemming from space finite element discretization of wave propagation problems. Two formulations, tailored for second- and first-order systems of ordinary differential equations, are discussed within a generalized framework, assessing their stability, accuracy, and computational efficiency. Theoretical results are supported by various illustrative examples that validate the findings, enhancing the understanding and applicability of these methods in practical scenarios.
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