Share This Author
Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method
An energy law preserving C0 finite element scheme for simulating the kinematic effects in liquid crystal dynamics
Image Segmentation Using Some Piecewise Constant Level Set Methods with MBO Type of Projection
- X. Tai, Oddvar Christiansen, P. Lin, Inge Skjælaaen
- Computer Science, MathematicsInternational Journal of Computer Vision
- 1 June 2007
Some algorithms are obtained which are essentially applying the MBO scheme for the authors' segmentation models by using the AOS and MOS schemes to solve the Euler-Lagrange equations for the minimization problems.
A Sequential Regularization Method for Time-Dependent Incompressible Navier--Stokes Equations
- P. Lin
- Computer Science, Mathematics
- 1 June 1997
It is proved that the SRM formulation is new in the Navier--Stokes context and the stability condition is independent of $\epsilon$ even for explicit time discretization, and a way to apply a DAE method to partial differential-algebraic equations (PDAEs) is provided.
Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle
A Pontryagin's type maximum principle is established for optimal controls of controlled singular Volterra integral equations, by using a Liapounoff's type theorem and the spike variation technique for optimal control problem.
A Primal-Dual Active-Set Method for Non-Negativity Constrained Total Variation Deblurring Problems
The contribution of this work is a fast and robust numerical algorithm to solve the non-negatively constrained image deblurring problem as a primal-dual program which is a variant of the formulation proposed by Chan, Golub, and Mulet for unconstrained problems.
Sequential Regularization Methods for Higher Index DAEs with Constraint Singularities: The Linear Index-2 Case
Standard stabilization techniques for higher index differential-algebraic equations (DAEs) often involve elimination of the algebraic solution components. This may not work well if there are…
Simulations of singularity dynamics in liquid crystal flows: A C0 finite element approach
Numerical analysis of Biot's consolidation process by radial point interpolation method
Moisture Transport and Diffusive Instability During Bread Baking
This paper studies multiphase models for simultaneous heat and mass transfer processes during bread baking to provide an explanation and a remedy to the observed erroneous results.