讨论了二阶半线性椭圆方程障碍问题的数值求解问题. 用单调迭代算法求解障碍问题,
并用改进的虚拟区域法求解相关的不规则区域上具有Dirichlet 边界条件的椭圆方程 …

New hybrid Eulerian/Lagrangian model is presented accounting for the two-way coupling
between the pulsating blood flow and the artery deformability. The Streamline …

The numerical solution of obstacle problems with 2nd order semilinear elliptic partial
differential equations (PDEs) was addressed. The nonlinear obstacle problem was solved …

A monotone iterations algorithm combined with the finite difference method is constructed for
an obstacle problem with semilinear elliptic partial differential equations of second order. By …

The Streamline-Upwind/Petrove-Galerkin (SUPG) technique is used to study the behavior of
incompressible viscous fluids in elastic tubes. The unsteady two dimensional Navier-Stokes …

This paper deals with the heat equation in which the source term involves a Dirac function
and describes the elastic reaction of the immersed boundary. We analyze the existence of …