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» Adaptive finite element methods for nonlinear inverse proble...
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143
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ICIP
2003
IEEE
16 years 5 months ago
An adaptive multigrid algorithm for region of interest diffuse optical tomography
Dueto diffuse nature of lightphotons, Diffuse Optical Tomography (DOT) image reconstruction is a challenging 3D problem with a relatively large number of unknowns and limited meas...
Murat Guven, Birsen Yazici, Xavier Intes, Britton ...
133
Voted
CONCURRENCY
2010
127views more  CONCURRENCY 2010»
15 years 3 months ago
Extreme scalability challenges in micro-finite element simulations of human bone
Coupling recent imaging capabilities with microstructural finite element (microFE) analysis offers a powerful tool to determine bone stiffness and strength. It shows high potentia...
Constantine Bekas, Alessandro Curioni, Peter Arben...
131
Voted
MOC
2010
14 years 10 months ago
Sharply local pointwise a posteriori error estimates for parabolic problems
Abstract. We prove pointwise a posteriori error estimates for semi- and fullydiscrete finite element methods for approximating the solution u to a parabolic model problem. Our esti...
Alan Demlow, Charalambos Makridakis
200
Voted
IEEECGIV
2005
IEEE
15 years 9 months ago
Surface Modelling Using Fourth Order Geometric Flows
We use two fourth order geometric partial differential equations to efficiently solve several surface modelling problems, including the surface blending, the N-sided hole fillin...
Guoliang Xu, Qing Pan
131
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MOC
2000
109views more  MOC 2000»
15 years 3 months ago
A posteriori error estimation and adaptivity for degenerate parabolic problems
Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Ricardo H. Nochetto, Alfred Schmidt, C. Verdi