Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations

DOI10.1137/130916862zbMath1286.65152arXiv1304.2414OpenAlexW4248122039MaRDI QIDQ5404613

Erik Burman

Publication date: 28 March 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.2414

zbMATH Keywords

convection-diffusion equationCauchy problemnumerical exampleselliptic equationscompressible flowill-posed problemsHelmholtz operatorstabilized finite element methodsnonsymmetricnoncoerciveGalerkin least squarescontinuous interior penalty

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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