Print Email Facebook Twitter On the fundamental solutions-based inversion of Laplace matrices Title On the fundamental solutions-based inversion of Laplace matrices Author Vermolen, F.J. (TU Delft Numerical Analysis; University of Hasselt) Bakker, D.R. (Student TU Delft) Vuik, Cornelis (TU Delft Delft Institute of Applied Mathematics) Department Delft Institute of Applied Mathematics Date 2022 Abstract The discretisation of the Laplacian results into the well-known Laplace matrix. In the case of a one dimensional problem, an explicit formula for its inverse is derived on the basis of fundamental solutions (Green’s functions) for general boundary conditions. For a linear reaction–diffusion equation, approximations of the inverse are given. Subject Inverse matrixLaplace matrixFinite element discretisationFundamental solutions To reference this document use: http://resolver.tudelft.nl/uuid:fce4b6af-ac6b-4601-bb5c-843a0062491a DOI https://doi.org/10.1016/j.rinam.2022.100288 ISSN 2590-0374 Source Results in Applied Mathematics, 15 Part of collection Institutional Repository Document type journal article Rights © 2022 F.J. Vermolen, D.R. Bakker, Cornelis Vuik Files PDF 1_s2.0_S2590037422000292_main.pdf 1.03 MB Close viewer /islandora/object/uuid:fce4b6af-ac6b-4601-bb5c-843a0062491a/datastream/OBJ/view