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Article

Prachař, Aleš
On discontinuous Galerkin method and semiregular family of triangulations. (English). Applications of Mathematics, vol. 51 (2006), issue 6, pp. 605-618
MSC: 35J25, 65N12, 65N15, 65N30 | MR 2291785 | Zbl 1164.65499 | DOI: 10.1007/s10492-006-0024-8
Keywords:
discontinuous Galerkin method; elliptic equations; penalty method; semiregular family of triangulations
Summary:
Discretization of second order elliptic partial differential equations by discontinuous Galerkin method often results in numerical schemes with penalties. In this paper we analyze these penalized schemes in the context of quite general triangular meshes satisfying only a semiregularity assumption. A new (modified) penalty term is presented and theoretical properties are proven together with illustrative numerical results.
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