Implicit–explicit time stepping with spatial discontinuous finite elements

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Implicit-Explicit Time Stepping with Spatial Discontinuous Finite Elements

In this paper a combination of discontinuous, piecewise linear, finite elements with implicitexplicit time stepping is considered for convection-reaction equations. Combined with low order quadrature rules, this leads to convenient schemes. We shall consider the effect of such low order quadrature rules on accuracy and stability for one-dimensional problems. 2000 Mathematics Subject Classificat...

متن کامل

An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements

The numerical solution for a class of sub-diffusion equations involving a parameter in the range −1 < α < 0 is studied. For the time discretization, we use an implicit finite-difference Crank–Nicolson method and show that the error is of order k2+α , where k denotes the maximum time step. A nonuniform time step is employed to compensate for the singular behaviour of the exact solution at t = 0....

متن کامل

Composite Finite Elements for 3D Elasticity with Discontinuous Coefficients

For the numerical simulation in continuum mechanics the Composite Finite Element (CFE) method allows an effective treatment of problems where material parameters are discontinuous across geometrically complicated interfaces. Instead of complicated and computationally expensive tetrahedral meshing, specialized CFE basis functions are constructed on a uniform hexahedral grid. This is a convenient...

متن کامل

hp Discontinuous Galerkin Time Stepping For Parabolic Problems

The algorithmic pattern of the hp Discontinuous Galerkin Finite Element Method (DGFEM) for the time semidiscretization of abstract parabolic evolution equations is presented. In combination with a continuous hp discretization in space we obtain a fully discrete hp-scheme for the numerical solution of parabolic problems. Numerical examples for the heat equation in a two dimensional domain confir...

متن کامل

hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

We present an hp-error analysis of the discontinuous Galerkin time-stepping method for Volterra integro-differential equations with weakly singular kernels. We derive new error bounds that are explicit in the time-steps, the degrees of the approximating polynomials, and the regularity properties of the exact solution. It is then shown that start-up singularities can be resolved at exponential r...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Numerical Mathematics

سال: 2003

ISSN: 0168-9274

DOI: 10.1016/s0168-9274(02)00192-7