An unfitted finite element method using discontinuous Galerkin | Zendy

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An unfitted finite element method using discontinuous Galerkin

Author(s) -

Bastian Peter,

Engwer Christian

Publication year - 2009

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.2631

Subject(s) - discontinuous galerkin method , discretization , finite element method , mathematics , galerkin method , grid , convergence (economics) , computation , scalar (mathematics) , domain (mathematical analysis) , polynomial , boundary value problem , mathematical optimization , mathematical analysis , algorithm , geometry , engineering , structural engineering , economics , economic growth

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 © 2009 John Wiley & Sons, Ltd.

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