TY - JOUR
T1 - Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
AU - Kim, Dojin
N1 - Publisher Copyright:
© 2018, The Author(s).
PY - 2018/12/1
Y1 - 2018/12/1
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.
KW - A-priori error estimates
KW - Damped acoustic wave equation
KW - Local discontinuous Galerkin method
UR - http://www.scopus.com/inward/record.url?scp=85058628311&partnerID=8YFLogxK
U2 - 10.1186/s13662-018-1919-x
DO - 10.1186/s13662-018-1919-x
M3 - Article
AN - SCOPUS:85058628311
SN - 1687-1839
VL - 2018
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 464
ER -