Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces

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

Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces

We present a new high order finite element method for the discretization of partial differential equations on stationary smooth surfaces which are implicitly described as the zero level of a level set function. The discretization is based on a trace finite element technique. The higher discretization accuracy is obtained by using an isoparametric mapping of the volume mesh, based on the level s...

متن کامل

Trace Finite Element Methods for PDEs on Surfaces

In this paper we consider a class of unfitted finite element methods for discretization of partial differential equations on surfaces. In this class of methods known as the Trace Finite Element Method (TraceFEM), restrictions or traces of background surface-independent finite element functions are used to approximate the solution of a PDE on a surface. We treat equations on steady and time-depe...

متن کامل

A Volume Mesh Finite Element Method for Pdes on Surfaces

We treat a surface finite element method that is based on the trace of a standard finite element space on a tetrahedral triangulation of an outer domain that contains a stationary 2D surface. This surface FEM is used to discretize partial differential equation on the surface. We demonstrate the performance of this method for stationary and time-dependent diffusion equations. For the stationary ...

متن کامل

Eulerian finite element method for parabolic PDEs on implicit surfaces

We define an Eulerian level set method for parabolic partial differential equations on a stationary hypersurface Γ contained in a domain Ω ⊂ Rn+1. The method is based on formulating the partial differential equations on all level surfaces of a prescribed function Φ whose zero level set is Γ . Eulerian surface gradients are formulated by using a projection of the gradient in Rn+1 onto the level ...

متن کامل

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces

In this paper we present an error analysis of an Eulerian finite element method for solving parabolic partial differential equations (PDEs) posed on evolving hypersurfaces in Rd, d = 2, 3. The method employs discontinuous piecewise linear in time–continuous piecewise linear in space finite elements and is based on a space-time weak formulation of a surface PDE problem. Trial and test surface fi...

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: SIAM Journal on Numerical Analysis

سال: 2018

ISSN: 0036-1429,1095-7170

DOI: 10.1137/16m1102203