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Conjecture on left block preconditioning for plane-wave Trefftz methods
The discussion concerns plane-wave Trefftz discretizations on meshes and the preconditioners $\mathtt{P}_2$ , $\mathtt{P}_5$ , and $\mathtt{P}_7$ , where $\mathtt{P}_2$ and…
Conjectureopennumerical-analysis preconditioning trefftz-methodsarXiv posted 3 days ago
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Negligibility of higher-order quasi-Trefftz errors
Quasi-Trefftz functions are constructed to satisfy the underlying equation only to a desired order. Negligibility conjecture. The errors inherent in quasi-Trefftz functions can be…
Conjectureopennonlocal-electrostatics numerical-analysis trefftz-methodsarXiv posted 3 days ago
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Discrete inf-sup conjecture for well-posedness of the VTCR
The variational theory of complex rays (VTCR) is a Trefftz method for the Helmholtz equation, with trial functions in the Trefftz space $T({\mathfrak{T}}_h)$ and coupling parameter…
Conjectureopenhelmholtz-equation numerical-analysis trefftz-methodsarXiv posted 3 days ago

Conjecture on left block preconditioning for plane-wave Trefftz methods