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- W2765456836 abstract "We develop a framework which allows us to prove the essential general quasi-orthogonality for the non-symmetric Johnson-Nedelec finite element/boundary element coupling. General quasi-orthogonality was first proposed in [Axioms of Adaptivity, 2014] as a necessary ingredient of optimality proofs and is the major difficulty on the way to prove rate optimal convergence of adaptive algorithms for many strongly non-symmetric problems. The proof exploits a new connection between the general quasi-orthogonality and LU-factorization of infinite matrices. We then derive that a standard adaptive algorithm for the Johnson-Nedelec coupling converges with optimal rates. The developed techniques are fairly general and can most likely be applied to other problems like Stokes equation." @default.
- W2765456836 created "2017-11-10" @default.
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- W2765456836 date "2017-10-17" @default.
- W2765456836 modified "2023-09-27" @default.
- W2765456836 title "Optimal adaptivity for non-symmetric FEM/BEM coupling" @default.
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