Active Flux/PamPa schemes incorporate discontinuous Galerkin methods as a building block, possess intrinsic bound-preserving properties illustrated numerically, and satisfy the summation-by-parts property in one dimension.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
fields
math.NA 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
An enhanced globally continuous PAMPA scheme in DG form on triangular meshes adds non-oscillatory behavior to prior bound-preserving techniques, implements rigorous boundary conditions, and achieves third-order accuracy for smooth solutions per truncation analysis and tests.
citing papers explorer
-
Some new properties of an Active flux type scheme: PamPa
Active Flux/PamPa schemes incorporate discontinuous Galerkin methods as a building block, possess intrinsic bound-preserving properties illustrated numerically, and satisfy the summation-by-parts property in one dimension.
-
Robust PAMPA Scheme in the DG Formulation on Unstructured Triangular Meshes: bound preservation, oscillation elimination, and boundary conditions
An enhanced globally continuous PAMPA scheme in DG form on triangular meshes adds non-oscillatory behavior to prior bound-preserving techniques, implements rigorous boundary conditions, and achieves third-order accuracy for smooth solutions per truncation analysis and tests.