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SIAMNUM
2011
90views more  SIAMNUM 2011»
13 years 13 days ago
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations
We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow-up in finite time. In particular we consi...
Irene Kyza, Charalambos Makridakis
SIAMNUM
2011
95views more  SIAMNUM 2011»
13 years 13 days ago
A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems
We consider the methods xδ n+1 = xδ n − gαn (F (xδ n)∗F (xδ n))F (xδ n)∗(F (xδ n)− yδ) for solving nonlinear ill-posed inverse problems F (x) = y using the only ava...
Qinian Jin
SIAMNUM
2011
117views more  SIAMNUM 2011»
13 years 13 days ago
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis
The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the ...
Weifeng Qiu, Leszek F. Demkowicz
SIAMNUM
2011
139views more  SIAMNUM 2011»
13 years 13 days ago
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possibl...
Nabi Chegini, Rob Stevenson