PPL 135 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.27
Prize Problem LedgerRidgway Scott FoundationPPL 135Ridgway Scott · Inf-sup condition for quartics on the Freudenthal mesh

Permanent problem IDPPL 135

Verified openInstitutionalconjecture

Numerical analysis

Ridgway Scott · Inf-sup condition for quartics on the Freudenthal mesh

Prove and publish mesh-size-independent Scott–Vogelius inf-sup stability in three dimensions on the Freudenthal mesh for polynomial degree k≥4, or publish an analytical refutation.

finite elementsScott–Vogeliusstability
01

The problem

Prove and publish mesh-size-independent Scott–Vogelius inf-sup stability in three dimensions on the Freudenthal mesh for polynomial degree k≥4, or publish an analytical refutation.

Open since2023dated prize PDF
Last checked2026.07.27Catalog verification
02

Reward offers

Offer 01$1,000Ridgway Scott Foundation
Documented

The first person or group to prove and publish the result—or an analytical refutation—wins. Partial payment may be made for partial results; simultaneous independent submissions each receive the full amount, while a group splits its award.

03

Sources & reading