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Publications Influence

A Fast Numerical Method for the Black-Scholes Equation of American Options

TLDR

100 10

A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations

A new mixed finite element method is formulated for the Stokes equations, in which the two components of the velocity and the pressure are defined on different meshes. First-order error estimates are… Expand

52 5

The boundary integro-differential equations of
three-dimensional Neumann problem in linear elasticity

- H. Han
- Mathematics
- 1 July 1994

Summary.
In this paper, we mainly consider the three dimensional Neumann
problem in
linear elasticity, which is reduced to a system of integro-differential
equations on the boundary based on a new… Expand

45 5

A Finite-Element Method for Laplace- and Helmholtz-Type Boundary Value Problems with Singularities

Laplace- and Helmholtz-type boundary value problems with singularities are considered. A sequence of approximations to the exact boundary conditions at an artificial boundary is given. Then the… Expand

35 3

An energy regularization for Cauchy problems of Laplace equation in annulus domain

- H. Han, L. Ling, T. Takeuchi
- Mathematics
- 1 April 2011

Detecting corrosion by electrical field can be modeled by a Cauchy problem of Laplace equation in annulus domain under the assumption that the thickness of the pipe is relatively small compared with… Expand

19 3- PDF

A class of artificial boundary conditions for heat equation in unbounded domains

Abstract In this paper, the numerical solutions of three problems of heat equation on unbounded domains are considered. For each problem, we introduce an artificial boundary Γ to make the… Expand

58 2

The Boundary Element Method for the Solution of the Backward Heat Conduction Equation

In this paper we consider the numerical solution of the one-dimensional, unsteady heat conduction equation in which Dirichlet boundary conditions are specified at two space locations and the… Expand

80 2

Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation

- H. Reinhardt, H. Han, D. N. Hào
- Mathematics
- 1 March 1999

The standard five-point difference approximation to the Cauchy problem for Laplace's equation satisfies stability estimates---and hence turns out to be a well-posed problem---when a certain… Expand

99 2- PDF

Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains

TLDR

36 2- PDF

Tailored finite point method for steady-state reaction-diffusion equations

Abstract. In this paper, we propose to use the tailored-finite-point method (TFPM) for a type of steady-state reaction-diffusion problems in two dimensions. Three tailored finite point schemes are… Expand

24 2- PDF

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