most citedStabilised finite element methods for non-symmetric, non-coercive and ill-posed problems. Part I: elliptic equations

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math.NA2026

Local error estimates for a finite element method combining linear and nonlinear stabilization for the linear hyperbolic transport equation

Erik Burman, Fabian Heimann

In this paper, we investigate the combination of a linear continuous interior penalty type and a non-linear artificial diffusion stabilisation applied to the transport problem, bas…

math.NA2013★ 1 cited

Stabilised finite element methods for non-symmetric, non-coercive and ill-posed problems. Part I: elliptic equations

Erik Burman

In this paper we propose a new method to stabilise non-symmetric indefinite problems. The idea is to solve a forward and an adjoint problem simultaneously using a suitable stabilis…