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Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. (English) Zbl 1456.65100
This article discusses the stabilization for finite element method. The approach relies on the use of weakly boundary conditions and specific boundary operators are constructed such that they guarantee stability. No internal dissipation is needed even if unstructured grids are used. Numerical experiments are included to support the theoretical findings.

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
Software:
PETSc
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