Abstract The Poisson Boltzmann equation (PBE) is a well-established implicit solvent
continuum model for the electrostatic analysis of solvated biomolecules. The numerical …

Uniqueness of the finite element solution for nonmonotone quasilinear problems of elliptic
type is established in one and two dimensions. In each case, we prove a comparison …

跨声速定常流场的隐式求解相当于使用牛顿迭代法求解一个非线性方程组.
为满足牛顿迭代收敛性的要求, 通常需要对所求解问题进行全局化处理. 在同伦延拓的框架内 …

A method is developed within an adaptive framework to solve quasilinear diffusion problems
with internal and possibly boundary layers starting from a coarse mesh. The solution …

定常流场的求解在现代飞行器气动设计中有着广泛的应用, 流场求解效率对飞行器优化的效率
有着重要影响. 提出了一种将拉普拉斯(Laplace) 算子与伪时间推进法相结合的混合方程延拓 …

A method is developed for solving quasi-linear convection diffusion problems starting on a
coarse mesh where the data and solution-dependent coefficients are unresolved, the …

The implicit solving approach of steady transonic flow field equals a Newton iteration for a
nonlinear equation system. Globalization of Newton iteration is usually necessary in practice …

Steady flow field solving is wieldly used in aircraft aerodynamic design, efficiency of steady
flow field solving has great influnence on efficiency of aircraft aerodynamic design. A …

This work unifies pseudo-time and inexact regularization techniques for nonmonotone
classes of partial differential equations, into a regularized pseudo-time framework …

This work further improves the pseudo-transient approach for the Poisson Boltzmann
equation (PBE) in the electrostatic analysis of solvated biomolecules. The numerical solution …