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SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
SPARSIFYING PRECONDITIONER FOR THE LIPPMANN–SCHWINGER EQUATION
Lippmann–Schwinger equation acoustic and electromagnetic scattering quantum scattering preconditioner sparse linear algebra
2015/7/14
The Lippmann–Schwinger equation is an integral equation formulation for acoustic and electromagnetic scattering from an inhomogeneous medium and quantum scattering from a localized potential. We prese...
DIRECTIONAL PRECONDITIONER FOR HIGH FREQUENCY OBSTACLE SCATTERING
Boundary integral method scattering high-frequency waves preconditioner low-rank approximation sparse linear algebra
2015/7/14
The boundary integral method is an efficient approach for solving time-harmonic obstacle scattering problems by a bounded scatterer. This paper presents the directional preconditioner for the iterativ...