Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation

Dojin Kim

doi:10.1186/s13662-018-1919-x

Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation

Dojin Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R². In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (LDG) method. Also, we study an a priori L²-norm error estimate for the semi-discretized LDG method for the system under additional regularity assumptions. Further, numerical tests are presented to support the theoretical analysis.

Original language	English
Article number	464
Journal	Advances in Difference Equations
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13662-018-1919-x
State	Published - 1 Dec 2018

Keywords

A-priori error estimates
Damped acoustic wave equation
Local discontinuous Galerkin method

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10.1186/s13662-018-1919-x

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abstract = "We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (LDG) method. Also, we study an a priori L2-norm error estimate for the semi-discretized LDG method for the system under additional regularity assumptions. Further, numerical tests are presented to support the theoretical analysis.",

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N2 - We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (LDG) method. Also, we study an a priori L2-norm error estimate for the semi-discretized LDG method for the system under additional regularity assumptions. Further, numerical tests are presented to support the theoretical analysis.

AB - We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (LDG) method. Also, we study an a priori L2-norm error estimate for the semi-discretized LDG method for the system under additional regularity assumptions. Further, numerical tests are presented to support the theoretical analysis.

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KW - Damped acoustic wave equation

KW - Local discontinuous Galerkin method

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DO - 10.1186/s13662-018-1919-x

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JF - Advances in Difference Equations

IS - 1

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ER -

Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation

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Keywords

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