Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods

Fleurianne Bertrand; Leszek Demkowicz; Jay Gopalakrishnan; Norbert Heuer

doi:10.1515/cmam-2019-0097

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods

Fleurianne Bertrand, Leszek Demkowicz, Jay Gopalakrishnan, Norbert Heuer

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Abstract

Least-squares (LS) and discontinuous Petrov–Galerkin (DPG) finite element methods are an emerging methodology in the computational partial differential equations with unconditional stability and built-in a posteriori error control. This special issue represents the state of the art in minimal residual methods in the
L²-norm for the LS schemes and in dual norm with broken test-functions in the DPG schemes.

Original language	English
Pages (from-to)	395–397
Journal	Computational Methods in Applied Mathematics
Volume	19
Issue number	3
DOIs	https://doi.org/10.1515/cmam-2019-0097
Publication status	Published - 2019
Externally published	Yes

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Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods

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