A highly efficient and accurate divergence-free spectral method for the curl-curl equation in two and three dimensions
DOI10.1137/23M1587038zbMATH Open1544.65215MaRDI QIDQ6573177
ZhiGuo Yang, Chang-Tao Sheng, Lechang Qin
Publication date: 16 July 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
spectral methoddivergence-free conditioncurl-curl problemmatrix diagonalization methodproperty-preserving discretization
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
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