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SIAMNUM
2010
114views more  SIAMNUM 2010»
13 years 2 months ago
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
We derive a posteriori error estimates for the discretization of the heat equation in a unified and fully discrete setting comprising the discontinuous Galerkin, finite volume, mix...
Alexandre Ern, Martin Vohralík
SIAMSC
2010
170views more  SIAMSC 2010»
13 years 2 months ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
ICCS
2007
Springer
14 years 1 months ago
Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer
Hyperthermia based cancer treatments are used to increase the susceptibility of cancerous tissue to subsequent radiation or chemotherapy treatments, and in the case in which a tumo...
Chandrajit L. Bajaj, J. Tinsley Oden, Kenneth R. D...