Work

Analysis of Robust Hybridized Discontinuous Galerkin Methods for Viscoacoustic Wave Equations

Year: 2025

Type: article

Abstract: In this paper we study hybridized discontinuous Galerkin methods for viscoacoustic wave equations with a general number of viscosity terms. For viscoacoustic equations rewritten as a first order symmetric hyperbolic system, we develop a hybridized local discontinuous Galerkin method which is robust for the number of viscosity terms. We show that the method satisfies a discrete energy estimate such that the implicit constants in the energy estimate are independent of the number of viscosity terms and the length of simulation time. Furthermore, we show that the sizes of reduced system after static condensation are independent of the number of viscosity terms. Optimal a priori error estimates with the Crank–Nicolson scheme are proved and numerical test results are included.

Source: Journal of Scientific Computing

DOI: 10.1007/s10915-025-02818-z

Authors: Jeonghun J. Lee, Jesus Indalecio Ruiz Bolanos

Institution: Baylor University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: National Science Foundation, Division of Mathematical Sciences