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Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two
(2019)
We present quasi-diagonal preconditioners for piecewise polynomial discretizations of pseudodifferential operators of order minus two in any space dimension. Here, quasi-diagonal means diagonal up to a sparse transformation. ...
Diagonal edge preconditioners in p-version and spectral element methods
(Siam PublicationsPhiladelphia, 1997)
A THEORY OF SECANT PRECONDITIONERS
(Amer Mathematical SocProvidence, 1993)
A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
(2015)
A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense of Peter Jones. For the primal variable ...
A wirebasket preconditioner for the mortar boundary element method
(2018)
We present and analyze a preconditioner of the additive Schwarz type for the mortar boundary element method. As a basic splitting, on each subdomain we separate the degrees of freedom related to its boundary from the inner ...
Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two
(2019)
We present quasi-diagonal preconditioners for piecewise polynomial discretizations of pseudodifferential operators of order minus two in any space dimension. Here, quasi-diagonal means diagonal up to a sparse transformation. ...