A qualitative physics based on confluences
Artificial Intelligence - Special volume on qualitative reasoning about physical systems
Numerical recipes: the art of scientific computing
Numerical recipes: the art of scientific computing
Qualitative spatial reasoning: the CLOCK project
Artificial Intelligence - Special issue: Qualitative reasoning about physical systems II
Computer Methods for Partial Differential Equations: Elliptical Equations and the Finite Element Method
Spectral Partitioning Works: Planar Graphs and Finite Element Meshes
Spectral Partitioning Works: Planar Graphs and Finite Element Meshes
Spatial aggregation: theory and applications
Journal of Artificial Intelligence Research
A qualitative model of physical fields
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 2
Model decomposition and simulation: a component based qualitative simulation algorithm
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
Spatial aggregation: language and applications
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 1
Influence-based model decomposition
AAAI '99/IAAI '99 Proceedings of the sixteenth national conference on Artificial intelligence and the eleventh Innovative applications of artificial intelligence conference innovative applications of artificial intelligence
Influence-based model decomposition for reasoning about spatially distributed physical systems
Artificial Intelligence
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Many important physical phenomena, such as temperature distribution, air flow, and acoustic waves, are described as continuous, distributed parameter fields. Analyzing and controlling these physical processes and systems are common tasks in many scientific and engineering domains. However, the challenges are multifold: distributed fields are conceptually harder to reason about than lumped parameter models; computational methods are prohibitively expensive for complex spatial domains; the underlying physics imposes severe constraints on observability and controllability.This paper develops an ontological abstraction and a structure-based design mechanism, in a framework collectively known as spatial aggregation (SA), for reasoning about and synthesizing distributed control schemes for physical fields. The ontological abstraction models a physical field as a hierarchy of networks of spatial objects. SA applies a small number of generic operators to a field to compute concise structural descriptions such as iso-contours, gradient trajectories, and influence graphs. The design mechanism uses these representations to find feasible control configurations. We illustrate the mechanism using a thermal control problem from industrial heat treatment and demonstrate that the active exploitation of structural knowledge in physical fields yields a significant computational advantage.