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In this paper, the authors propose a novel framework for field estimation in a Wireless Sensor Network (WSN). The fundamental problem of estimating field values at locations where no WSN measurements are available is tackled by including a physical field model in the form of a Partial Differential Equation (PDE). If the PDE is discretized in the spatiotemporal domain by use of the Finite Element Method (FEM), then the physical field model reduces to a set of linear equations that can be elegantly combined with the WSN field measurements in a constrained optimization problem. In contrast to existing approaches, they do not require the driving source function or the locations of point sources to be known.
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