Develops and analyzes an embedded Trefftz DG method for reaction-diffusion problems on anisotropic meshes, proving stability, quasi-optimality, and deriving anisotropic a priori error estimates.
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3 Pith papers cite this work. Polarity classification is still indexing.
fields
math.NA 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
An embedded Trefftz-DG method is constructed for the Oseen problem with proven stability and quasi-optimality in DG norms plus a reduced velocity-only formulation.
An embedded Trefftz-DG method for nonlinear steady Navier-Stokes proves existence, uniqueness, and Picard convergence under resolution and small-data assumptions while inheriting a priori error bounds from standard DG analysis.
citing papers explorer
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Embedded Trefftz DG method for reaction-diffusion problems on anisotropic meshes
Develops and analyzes an embedded Trefftz DG method for reaction-diffusion problems on anisotropic meshes, proving stability, quasi-optimality, and deriving anisotropic a priori error estimates.
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Embedded Trefftz DG method for steady Navier-Stokes flow. Part I: Oseen linearization
An embedded Trefftz-DG method is constructed for the Oseen problem with proven stability and quasi-optimality in DG norms plus a reduced velocity-only formulation.
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Embedded Trefftz DG method for steady Navier-Stokes flow. Part II: Nonlinear problem
An embedded Trefftz-DG method for nonlinear steady Navier-Stokes proves existence, uniqueness, and Picard convergence under resolution and small-data assumptions while inheriting a priori error bounds from standard DG analysis.