Analysis of Robust Hybridized Discontinuous Galerkin Methods for Viscoacoustic Wave Equations

被引：0

作者：

Lee, Jeonghun J. ^{[1
]}

Bolanos, Jesus Indalecio Ruiz ^{[1
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76706 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2025年 / 102卷 / 03期

基金：

美国国家科学基金会;

关键词：

Hybridized discontinuous Galerkin methods; Error analysis; Viscoacoustic equations; FINITE-ELEMENT METHODS; HDG METHODS; APPROXIMATION;

D O I：

10.1007/s10915-025-02818-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：25