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PLANX
2007
13 years 9 months ago
XPath Typing Using a Modal Logic with Converse for Finite Trees
We present an algorithm to solve XPath decision problems under regular tree type constraints and show its use to statically typecheck XPath queries. To this end, we prove the deci...
Pierre Genevès, Nabil Layaïda, Alan Sc...
VISUALIZATION
2005
IEEE
14 years 1 months ago
Framework for Visualizing Higher-Order Basis Functions
Techniques in numerical simulation such as the finite element method depend on basis functions for approximating the geometry and variation of the solution over discrete regions ...
William J. Schroeder, François Bertel, Math...
MMAS
2011
Springer
12 years 10 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
SIGGRAPH
2010
ACM
13 years 11 months ago
Volume contact constraints at arbitrary resolution
We introduce a new method for simulating frictional contact between volumetric objects using interpenetration volume constraints. When applied to complex geometries, our formulati...
Jérémie Allard, François Faure, Hadrien Courtec...
SPAA
2004
ACM
14 years 1 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter