A combined mixed hybrid and hybridizable discontinuous Galerkin method for Darcy flow and transport

DOI10.1007/s10915-024-02607-0zbMath1546.65071MaRDI QIDQ6594654

Béatrice Rivière, Keegan L. A. Kirk

Publication date: 28 August 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

a priori error estimatesprojection operatorhybridization\(\mathrm{H}(\mathrm{div})\)-conformity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Transport equations (35Q49)

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