On handling smoothly continuous and singular parameter fields in finite element models of flow and transport

James Craig & James Craig
Most finite element methods (FEMs) for simulating groundwater flow and solute transport rely upon a discrete representation of the specified independent parameters. In flow models, hydraulic conductivity and storage coefficients are specified as uniform within each element. Likewise, in solute transport models, velocity, dispersion tensor components, and porosity are typically treated as piecewise-constant. For both flow and transport, source distributions are typically nodal, linearly distributed along sides, or element-averaged. Recent work by the author has...
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