Abstract
This paper addresses the development of a Discontinuous Spectral Least-Squares method. Based on pre-multiplication with a mesh-dependent function a discontinuous functional can be set up. Coercivity of this functional will be established. An example of the approximation to a continuous solution and a solution in which a jump is prescribed will be presented. The discontinuous least-squares method preserves symmetry and positive definiteness of the discrete system.
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Gerritsma, M.I., Proot, M.M.J. Analysis of a Discontinuous Least Squares Spectral Element Method. Journal of Scientific Computing 17, 297–306 (2002). https://doi.org/10.1023/A:1015173203136
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DOI: https://doi.org/10.1023/A:1015173203136