Multidomain pseudospectral computation of Maxwell's equations in 3-D general curvilinear coordinates☆
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A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method
2013, Journal of Computational PhysicsCitation Excerpt :The proposed method is also somewhat similar in its objective to the direct solver for Poisson’s equation described by Greengard and Etheridge [7], but the solver of [7] requires the kernel of the solution operator to be known analytically, which is not the case in the present context. The discretization technique we use is similar to earlier work on multidomain pseudospectral methods, see, e.g., [19,37], and in particular Pfeiffer et al. [27]. A difference is that we immediately eliminate all degrees of freedom associated with nodes that are internal to each patch (i.e., nodes not shared with any other patch) and formulate a linear system that involves only the boundary nodes.
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This work was partially supported by DARPA/AFOSR Grant F49620-96-1-0426.