Journal article icon

Journal article

hp -Version a priori Error Analysis of Interior Penalty Discontinuous Galerkin Finite Element Approximations to the Biharmonic Equation.

Abstract:

We consider the symmetric formulation of the interior penalty discontinuous Galerkin finite element method for the numerical solution of the biharmonic equation with Dirichlet boundary conditions in a bounded polyhedral domain in ℝ d, d ≥ 2. For a shape-regular family of meshes consisting of parallelepipeds, we derive hp-version a priori bounds on the global error measured in the L 2 norm and in broken Sobolev norms. Using these, we obtain hp-...

Expand abstract
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1007/s10915-006-9100-1

Authors


Journal:
J. Sci. Comput.
Volume:
30
Issue:
3
Pages:
465-491
Publication date:
2007-01-01
DOI:
EISSN:
1573-7691
ISSN:
0885-7474
URN:
uuid:b432e696-3ab5-4cb1-adc1-51f4ebe4380a
Source identifiers:
189063
Local pid:
pubs:189063

Terms of use


Metrics


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP