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- W2187266999 abstract "Summary. A new solution approach to the one-dimensional time-dependent diffusion-advectionreaction equation using the time-discontinuous Galerkin method is presented. The standard weak form is sensitized by least squares type extra terms consisting of the field equation residual and of the differentiated field equation residual. In addition, the initial condition residual and its differentiated form are included with three sensitizing parameters. The logic for the determination of the optimal values for these parameters is the main theme of the article. The approximation in each space-time slab is simplest possible: constant in time and with two node linear elements in space. Reference solution according to the von Neumann type analysis is used in a patch test. The parameters are determined by demanding the algorithmic and the exact amplification factors to coincide as well as possible. High accuracy formulations are found to emerge. The Mathematica program is used extensively in the analytical manipulations needed. The pure diffusion, the pure advection, and the pure reaction cases are dealt with in some detail to see the resulting expressions in a simple setting." @default.
- W2187266999 created "2016-06-24" @default.
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- W2187266999 date "2013-01-01" @default.
- W2187266999 modified "2023-09-26" @default.
- W2187266999 title "A sensitized finite element solution approach to the time-dependent diffusion-advection-reaction equation" @default.
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