An unfitted finite element method using discontinuous Galerkin

被引：95

作者：

Bastian, Peter ^{[1
]}

Engwer, Christian ^{[1
]}

机构：

[1] Heidelberg Univ, Interdisziplinares Zentrum Wissensch Rechen, D-69120 Heidelberg, Germany

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2009年 / 79卷 / 12期

关键词：

discontinuous Galerkin method; finite elements; higher order; complex domain; unfitted finite elements; structured grids; DIFFUSION-PROBLEMS; ANGLE CONDITION; EQUATIONS;

D O I：

10.1002/nme.2631

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we present a new approach to Simulations on complex-shaped domains. The method is based on a discontinuous Galerkin (DG) method, using trial and test functions defined on a structured grid. Essential boundary conditions are imposed weakly via the DG formulation. This method offers a discretization where the number of unknowns is independent of the complexity of the domain. We will show numerical Computations for an elliptic scalar model problem in R-2 and R-3. Convergence rates for different polynomial degrees are studied. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：1557 / 1576

页数：20

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