TY - JOUR
T1 - An MSSS-preconditioned matrix equation approach for the time-harmonic elastic wave equation at multiple frequencies
AU - Baumann, M.
AU - Astudillo, R.
AU - Qiu, Y.
AU - Ang, E.Y.M.
AU - van Gijzen, M.B.
AU - Plessix, R.E.
PY - 2018
Y1 - 2018
N2 - In this work, we present a new numerical framework for the efficient solution of the time-harmonic elastic wave equation at multiple frequencies. We show that multiple frequencies (and multiple right-hand sides) can be incorporated when the discretized problem is written as a matrix equation. This matrix equation can be solved efficiently using the preconditioned IDR(s) method. We present an efficient and robust way to apply a single preconditioner using MSSS matrix computations. For 3D problems, we present a memory-efficient implementation that exploits the solution of a sequence of 2D problems. Realistic examples in two and three spatial dimensions demonstrate the performance of the new algorithm.
AB - In this work, we present a new numerical framework for the efficient solution of the time-harmonic elastic wave equation at multiple frequencies. We show that multiple frequencies (and multiple right-hand sides) can be incorporated when the discretized problem is written as a matrix equation. This matrix equation can be solved efficiently using the preconditioned IDR(s) method. We present an efficient and robust way to apply a single preconditioner using MSSS matrix computations. For 3D problems, we present a memory-efficient implementation that exploits the solution of a sequence of 2D problems. Realistic examples in two and three spatial dimensions demonstrate the performance of the new algorithm.
KW - Induced dimension reduction (IDR) method
KW - Multilevel sequentially semiseparable (MSSS) matrices
KW - Multiple frequencies
KW - Preconditioned matrix equations
KW - Time-harmonic elastic wave equation
UR - http://resolver.tudelft.nl/uuid:ed57b9db-66b1-44f9-9903-9cd12b49b17c
UR - http://www.scopus.com/inward/record.url?scp=85021073538&partnerID=8YFLogxK
U2 - 10.1007/s10596-017-9667-7
DO - 10.1007/s10596-017-9667-7
M3 - Article
AN - SCOPUS:85021073538
SN - 1420-0597
VL - 22
SP - 43
EP - 61
JO - Computational Geosciences: modeling, simulation and data analysis
JF - Computational Geosciences: modeling, simulation and data analysis
IS - 1
ER -