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math.NA2022
An extended range of stable flux reconstruction schemes on quadrilaterals for various polynomial bases
Will Trojak, Rob Watson, Peter Vincent
An extended range of energy stable flux reconstruction schemes, developed using a summation-by-parts approach, is presented on quadrilateral elements for various sets of polynomial…
math.NA2022
An extended range of energy stable flux reconstruction methods on triangles
Will Trojak, Peter Vincent
We present an extended range of stable flux reconstruction (FR) methods on triangles through the development and application of the summation-by-parts framework in two-dimensions.…
math.NA2022
On the Use of RBF Interpolation for Flux Reconstruction
Rob Watson, Will Trojak
Flux reconstruction provides a framework for solving partial differential equations in which functions are discontinuously approximated within elements. Typically, this is done by…