Modified characteristics projection finite element method for time-dependent conduction-convection problems

A Finite Element Method for Time-dependent Convection-diffusion Equations

We present a finite element method for time-dependent convectiondiffusion equations. The method is explicit and is applicable with piecewise polynomials of degree n > 2 . In the limit of zero diffusion, it reduces to a recently analyzed finite element method for hyperbolic equations. Near optimal error estimates are derived. Numerical results are given.

A Defect-Correction Mixed Finite Element Method for Stationary Conduction-Convection Problems

A defect-correction mixed finite element method MFEM for solving the stationary conductionconvection problems in two-dimension is given. In this method, we solve the nonlinear equations with an added artificial viscosity term on a grid and correct this solution on the same grid using a linearized defect-correction technique. The stability is given and the error analysis in L2 and H1-norm of u, ...

Hp Finite Element Method for Convection-diiusion Problems

Finite Element Methods for Convection Diffusion Equation

This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...

Characteristic Cut Finite Element Methods for Convection-Diffusion Problems on Time Dependent Surfaces

We develop a finite element method for convection diffusion problems on a given time dependent surface, for instance modeling the evolution of a surfactant. The method is based on a characteristic-Galerkin formulation combined with a piecewise linear cut finite element method in space. The cut finite element method is constructed by embedding the surface in a background grid and then using the ...