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• W2054320306 abstract "In this paper, we consider the variable coefficient Poisson equation with Dirichlet boundary conditions on an irregular domain and show that one can obtain second-order accuracy with a rather simple discretization. Moreover, since our discretization matrix is symmetric, it can be inverted rather quickly as opposed to the more complicated nonsymmetric discretization matrices found in other second-order-accurate discretizations of this problem. Multidimensional computational results are presented to demonstrate the second-order accuracy of this numerical method. In addition, we use our approach to formulate a second-order-accurate symmetric implicit time discretization of the heat equation on irregular domains. Then we briefly consider Stefan problems." @default.
• W2054320306 created "2016-06-24" @default.
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• W2054320306 date "2002-02-01" @default.
• W2054320306 modified "2023-10-14" @default.
• W2054320306 title "A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains" @default.
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• W2054320306 doi "https://doi.org/10.1006/jcph.2001.6977" @default.
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