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• W2286507272 abstract "The goal of this work is the efficient solution of the heat equation with Dirichlet or Neumann boundary conditions using the Boundary Elements Method (BEM).Efficiently solving the heat equation is useful, as it is a simple model problem for other types of parabolic problems. In complicated spatial domains as often found in engineering, BEM can be beneficial since only the boundary of the domain has to be discretised. This makes BEM easier than domain methods such as finite elementsand finite differences, conventionally combined with time-stepping schemes to solve this problem. The contribution of this work is to further decrease the complexity of solving the heat equation, leading both to speed gains (in CPU time) as well as requiring smalleramounts of memory to solve the same problem. To do this we will combine the complexity gains of boundary reduction by integral equation formulations with adiscretisation using wavelet bases. This reduces the total work to O(h" @default.
• W2286507272 created "2016-06-24" @default.
• W2286507272 creator A5015917562 @default.
• W2286507272 date "2015-01-01" @default.
• W2286507272 modified "2023-09-26" @default.
• W2286507272 title "Sparse space-time boundary element methods for the heat equation" @default.
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• W2286507272 hasPublicationYear "2015" @default.
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